From 7d1a6bb1a669ade36f17d8f5c5e8545a0729dc45 Mon Sep 17 00:00:00 2001 From: EvertBunschoten Date: Tue, 13 Jan 2026 16:15:07 +0100 Subject: [PATCH 01/28] Added tutorial for data-driven equation of state --- _data/tutorials.yml | 1 + .../NICFD_nozzle/NICFD_nozzle_datadriven.md | 104 ++++++++++++++++++ _tutorials/index.md | 2 + 3 files changed, 107 insertions(+) create mode 100644 _tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md diff --git a/_data/tutorials.yml b/_data/tutorials.yml index 76c6f2a0..c262798c 100644 --- a/_data/tutorials.yml +++ b/_data/tutorials.yml @@ -17,6 +17,7 @@ - Unsteady_NACA0012 - UQ_NACA0012 - NICFD_nozzle + - NICFD_nozzle_datadriven - Aachen_Turbine - title: Incompressible Flow diff --git a/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md b/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md new file mode 100644 index 00000000..65039a6a --- /dev/null +++ b/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md @@ -0,0 +1,104 @@ +--- +title: Non-ideal compressible flows with physics-informed neural networks +permalink: /tutorials/NICFD_nozzle_datadriven/ +written_by: EvertBunschoten +for_version: 8.3.0 +solver: RANS +requires: SU2_CFD SU2_DataMiner +complexity: advanced +follows: +--- + +## Goals + +Upon completing this tutorial, the user will be familiar with performing simulations of nonideal compressible fluids through the use of physics-informed neural networks. The flow is simulated through the same supersonic convergent-divergent nozzle as in the [tutorial](NICFD_nozzle.md) for nonideal compressible fluid flows. +The following capabilities of will be showcased in this tutorial: +- Using [SU2 DataMiner](https://github.com/EvertBunschoten/SU2_DataMiner.git) to train physics-informed neural networks for fluid simulations. +- Data-driven equation of state with multi-layer perceptrons. +- Giles boundary conditions + +The intent of this tutorial is to explain how to use the data-driven equation of state in SU2 for fluid simulations and how to train the neural network(s) required for modeling the fluid properties. The fluid used in this tutorial is Siloxane MM, but the methods explained in this tutorial can also be repeated for different fluids available within CoolProp. + +## Background + +The data-driven equation of state in SU2 can be used to calculate the thermodynamic state properties of the fluid during CFD calculations. The method uses an equation of state based on entropy potential, allowing for the thermodynamic state variables to be directly calculated from the density and internal energy, which can be directly obtained from the solution of the flow transport equations. + +The thermodynamic state variables are calculated from the Jacobian and Hessian of entropy w.r.t. density and internal energy. The data-driven fluid model in SU2 uses a physics-informed neural network to calculate the entropy Jacobian and Hessian such that thermodynamic consistency is maintained. + +The data-driven, entropy-based equation of state is discussed more in detail in [this paper](https://doi.org/10.1016/j.compfluid.2025.106932). + +## Resources and Set-Up + +You can find the resources for this tutorial in the folder [compressible_flow/NICFD_nozzle/PhysicsInformed](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed) in the [tutorial repository](https://github.com/su2code/Tutorials). +You will need the python scripts and the [nozzle contour file](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed/nozzle_curve.csv) which describes the shape of the nozzle. The SU2 config file and mesh will be automatically generated using the scripts in this tutorial. + +This tutorial requires [SU2 DataMiner](https://github.com/EvertBunschoten/SU2_DataMiner.git) to run. Follow the installation instructions on the repository page, and install the required python packages. To be able to use the data-driven fluid model in SU2, compile SU2 with the following command: + +``` +meson.py build -Denable-mlpcpp=true +``` + +which will download the [MLPCpp](https://github.com/EvertBunschoten/MLPCpp.git) submodule enabling the evaluation of deep, dense multi-layer perceptrons in SU2. + + +## Tutorial + +The following steps explain how to train physics-informed neural networks for data-driven fluid simulations in SU2. + +### 1. Generate SU2 DataMiner Configuration +Similar to SU2, SU2 DataMiner uses a configuration file to store information regarding the type of fluid, the resolution of the training data set, and the hyperparameters of the networks. Running the script [0:generate_config.py](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed/0:generate_config.py) generates the SU2 DataMiner configuration used in this tutorial and is saved as a binary file named ```SU2DataMiner_MM.cfg```. + +### 2. Generate Training Data +The thermodynamic state data used to train the network for the data-driven fluid simulation is generated using the Helmholtz equation of state evalauted through the python module for CoolProp. The thermodynamic state data are generated on a density-static energy grid for the gas and supercritical phase between the minimum and maximum density of the fluid supported by CoolProp. + +By running the script [1:generate_fluid_data.py](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed/1:generate_fluid_data.py) will generate the thermodynamic state data used for the training of the network and generate contour plots of the temperature, pressure, and speed of sound. The complete set of thermodynamic state data is stored in the file titled *fluid_data_full.csv*. 80% of the randomly sampled fluid data is used to update the weights of the network during training, 10% is used to monitor the convergence of the training process, and the remaining 10% is used to validate the accuracy of the network upon completion of the training process. The complete data set contains approximately 2.3e5 unique data points. + +IMAGE: training data plot +### 3. Train physics-informed neural network +The network used in this tutorial uses two hidden layers with 12 nodes each. The exponential function is used as the hidden layer activation function. This is an unusual choice, but is motivated by the fact that it reduces the computational cost required to calculate the network Jacobian and Hessian during the CFD solution process. +The training process uses an exponential decay function for the learning rate, with an initial value of 1e-3. During each update step, the weights and biases of the network are adjusted according to the value of the loss function evaluated on a batch of 64 training data points. +More details regarding the training method are presented in the [literature](https://doi.org/10.1016/j.compfluid.2025.106932). + +The training progress can be followed from the terminal, but can also be monitored from the training convergence plots that are periodically updated under ```Worker_0/Model_0/```. + +After training, the weights and biases of the network are stored in the SU2 DataMiner configuration. + +IMAGE: training history plot, predicted vs training data + +### 4. Preparation of the Simulation + +To run data-driven fluid simulations in SU2, you need the SU2 configuration file, the mesh, and the file describing the multilayer perceptron. Running the script [3:prepare_simulation.py](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed/3:prepare_simulation.py) generates the computational mesh, writes the SU2 configuration file, and writes the ASII file containing the weights and biases of the network. + +The mesh is generated using gmesh in which the computational domain is generated accoring to the nozzle contour. The nozzle wall is modeled as a non-slip surface and prism layer refinement is applied to resolve the boundary layer. + +IMAGE: highlight of mesh + +The inflow condition is modeled as a non-reflective Giles boundary condition where the pressure and temperature of the critical point of the fluid are imposed as the stagnation pressure and stagnation temperature. The outflow is also modeled as a non-reflective Giles boundary condition, where a static pressure 10 times lower than the inflow pressure is imposed. + +The data-driven fluid model with the physics-informed entropy-based equation of state is enabled through the following options in the [SU2 configuration file](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed/config_NICFD_PINN.cfg): +``` +FLUID_MODEL= DATADRIVEN_FLUID +USE_PINN= YES +INTERPOLATION_METHOD= MLP +FILENAMES_INTERPOLATOR= MLP_siloxane_MM.mlp +``` +where the ```USE_PINN= YES``` option enables the use of a physics-informed neural network for thermodynamic state calculations. The file ```MLP_siloxane_MM.mlp``` is the ASII file which describes the network architecture and the network weights and biases. At the start of the SU2 solution process, the network weigths and biases are imported into SU2 through the MLPCpp sub-module. + +IMAGE: inflow-outflow isentrope compared to training data + +### 5. Run SU2 +The simulation us run by the following command +``` +mpirun -n SU2_CFD config_NICFD_PINN.cfg +``` +where `````` is the number of cores. + +IMAGE: simulation convergence trends + +### Results + +IMAGE: flow field + +IMAGE: solution w.r.t. training data + +IMAGE: comparison to CoolProp solution diff --git a/_tutorials/index.md b/_tutorials/index.md index 778e8d80..7719bbbd 100644 --- a/_tutorials/index.md +++ b/_tutorials/index.md @@ -50,6 +50,8 @@ Simulation of unsteady, external, viscous flow around an airfoil. Perform uncertainty quantification of errors arising due to assumptions inherent in turbulence models. * [Non-ideal compressible flow in a supersonic nozzle](/tutorials/NICFD_nozzle/) Simulation of compressible flow in a nozzle using non-ideal thermodynamic models. +* [Data-driven equation of state for non-ideal compressible fluids](/tutorials/NICFD_nozzle_datadriven/) +Demonstration of data-driven equation of state using a physics-informed neural network. * [Turbomachinery: Aachen Turbine stage with mixing plane](/tutorials/Aachen_Turbine/) Simulation of compressible flow of the Aachen turbine demonstrating turbomachinery application. From 811285d314d9913496256223639b6c2d78e6172b Mon Sep 17 00:00:00 2001 From: EvertBunschoten Date: Wed, 14 Jan 2026 10:53:31 +0100 Subject: [PATCH 02/28] Added PT diagram of the training data --- .../NICFD_nozzle/NICFD_nozzle_datadriven.md | 5 ++++- .../images/PT_diagram.png | Bin 0 -> 73157 bytes 2 files changed, 4 insertions(+), 1 deletion(-) create mode 100644 tutorials_files/compressible_flow/NICFD_nozzle_datadriven/images/PT_diagram.png diff --git a/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md b/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md index 65039a6a..61cd6ae9 100644 --- a/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md +++ b/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md @@ -53,7 +53,10 @@ The thermodynamic state data used to train the network for the data-driven fluid By running the script [1:generate_fluid_data.py](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed/1:generate_fluid_data.py) will generate the thermodynamic state data used for the training of the network and generate contour plots of the temperature, pressure, and speed of sound. The complete set of thermodynamic state data is stored in the file titled *fluid_data_full.csv*. 80% of the randomly sampled fluid data is used to update the weights of the network during training, 10% is used to monitor the convergence of the training process, and the remaining 10% is used to validate the accuracy of the network upon completion of the training process. The complete data set contains approximately 2.3e5 unique data points. -IMAGE: training data plot +![PT_diagram_trainingdata](../../tutorials_files/compressible_flow/NICFD_nozzle_datadriven/images/PT_diagram.png) +Figure (1): Section of training data set near the critial point ('cp'). + + ### 3. Train physics-informed neural network The network used in this tutorial uses two hidden layers with 12 nodes each. The exponential function is used as the hidden layer activation function. This is an unusual choice, but is motivated by the fact that it reduces the computational cost required to calculate the network Jacobian and Hessian during the CFD solution process. The training process uses an exponential decay function for the learning rate, with an initial value of 1e-3. 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[PATCH 03/28] TFC python (#191) * TFC python wrapper tutorial --- _config.yml | 2 +- _data/tutorials.yml | 5 +- _tutorials/index.md | 4 +- .../multiphysics/TFC_python/TFC_python.md | 319 ++++++++++++++++++ .../TFC_python/images/TFC_c_correction.png | Bin 0 -> 21065 bytes .../TFC_python/images/TFC_c_init.png | Bin 0 -> 9059 bytes .../TFC_python/images/TFC_source.png | Bin 0 -> 63422 bytes .../images/TFC_source_correction.png | Bin 0 -> 27379 bytes .../TFC_python/images/TFC_temp.png | Bin 0 -> 19608 bytes .../TFC_python/images/TFC_temp_correction.png | Bin 0 -> 51548 bytes .../TFC_python/images/TFC_temp_heatloss.png | Bin 0 -> 49613 bytes .../TFC_python/images/TFC_temp_init.png | Bin 0 -> 9758 bytes 12 files changed, 326 insertions(+), 4 deletions(-) create mode 100644 _tutorials/multiphysics/TFC_python/TFC_python.md create mode 100644 tutorials_files/multiphysics/TFC_python/images/TFC_c_correction.png create mode 100644 tutorials_files/multiphysics/TFC_python/images/TFC_c_init.png create mode 100644 tutorials_files/multiphysics/TFC_python/images/TFC_source.png create mode 100644 tutorials_files/multiphysics/TFC_python/images/TFC_source_correction.png create mode 100644 tutorials_files/multiphysics/TFC_python/images/TFC_temp.png create mode 100644 tutorials_files/multiphysics/TFC_python/images/TFC_temp_correction.png create mode 100644 tutorials_files/multiphysics/TFC_python/images/TFC_temp_heatloss.png create mode 100644 tutorials_files/multiphysics/TFC_python/images/TFC_temp_init.png diff --git a/_config.yml b/_config.yml index 95970070..0f60842f 100644 --- a/_config.yml +++ b/_config.yml @@ -16,7 +16,7 @@ bootwatch: yeti # Build settings markdown: kramdown highlighter: rouge -gems: +plugins: - jekyll-feed - jekyll-redirect-from - jekyll-seo-tag diff --git a/_data/tutorials.yml b/_data/tutorials.yml index 76c6f2a0..0ae1b490 100644 --- a/_data/tutorials.yml +++ b/_data/tutorials.yml @@ -39,7 +39,7 @@ - Linear_Dynamics - Nonlinear_Elasticity - Multiple_Material - + - title: Multiphysics tutorials: - Static_FSI @@ -47,7 +47,8 @@ - Static_CHT - Inc_Heated_Cylinders_Unsteady - SS_CR_CHT - - Inc_Combustion + - Inc_Combustion + - TFC_python - title: Design Features tutorials: diff --git a/_tutorials/index.md b/_tutorials/index.md index 778e8d80..27f3d537 100644 --- a/_tutorials/index.md +++ b/_tutorials/index.md @@ -94,7 +94,7 @@ Simulation of a non-linear problem with multiple material definitions * [Static Fluid-Structure Interaction](/tutorials/Static_FSI/) Non-linear structural mechanics coupled with incompressible Navier-Stokes flow * [Dynamic Fluid-Structure Interaction with the Python wrapper](/tutorials/Dynamic_FSI_Python/) -Linear Nastran-like model coupled with compressible unsteady RANS equations using the Python wrapper +Linear Nastran-like model coupled with compressible unsteady RANS equations using the Python wrapper. * [Static Conjugate Heat Transfer](/tutorials/Static_CHT/) Simulation of multiple heated cylinders in incompressible fluid flow. * [Unsteady Conjugate Heat Transfer](/tutorials/Inc_Heated_Cylinders_Unsteady/) @@ -103,6 +103,8 @@ Simulation of an unsteady coupled CHT problem incorporating multiple physical zo Simulation of CHT between solid domains with contact resistance. * [Pre-mixed Hydrogen Combustion](/tutorials/Inc_Combustion/) Simulation of a laminar, pre-mixed hydrogen flame on a cooled burner plate. +* [Python wrapper for User Defined Functionality](/tutorials/TFC_python/) +Use the Python wrapper to setup user defined source terms, initial conditions and boundary conditions for combustion. #### Shape Design Features diff --git a/_tutorials/multiphysics/TFC_python/TFC_python.md b/_tutorials/multiphysics/TFC_python/TFC_python.md new file mode 100644 index 00000000..819403b5 --- /dev/null +++ b/_tutorials/multiphysics/TFC_python/TFC_python.md @@ -0,0 +1,319 @@ +--- +title: User Defined combustion model with Python +permalink: /tutorials/TFC_python/ +written_by: Nijso Beishuizen +for_version: 8.3.0 +revised_by: +revision_date: +revised_version: +solver: INC_NAVIER_STOKES +requires: SU2_CFD, python +complexity: advanced +--- + +![TFC_temp](../../../tutorials_files/multiphysics/TFC_python/images/TFC_temp.png) +Figure (1): high-pressure turbulent premixed flame of the Paul-Scherrer Institute (PSI), Switzerland + +## Goals + +In this tutorial we will simulate a high pressure turbulent premixed flame using the Turbulent Flamespeed Closure (TFC) model. This is a simple turbulent combustion model that can be implemented with a User Defined Source (UDS) in python. +In this tutorial we will touch upon the following aspects: +- Compile and run SU2 from within python using the python wrapper +- Create a User Defined Source +- Create User Defined boundary conditions +- Create User Defined initial conditions +- Overwrite the enthalpy (temperature) field with a user defined field + + +## Resources + +The resources for this tutorial can be found in the [TFC_python](https://github.com/su2code/Tutorials/tree/master/multiphysics/TFC_python) directory in the [tutorial repository](https://github.com/su2code/Tutorials). You will need the configuration file ([psi.cfg](https://github.com/su2code/Tutorials/tree/master/multiphysics/TFC_python/adiabatic/psi.cfg)) and the mesh file ([psi.su2](https://github.com/su2code/Tutorials/tree/master/multiphysics/TFC_python/adiabatic/psi.su2)). Additionally, the Gmsh geometry is also provided so you can recreate the mesh yourself: [psi.geo](https://github.com/su2code/Tutorials/tree/master/multiphysics/TFC_python/psi.geo). Files for the non-adiabatic case are in the folder [enthalpy](https://github.com/su2code/Tutorials/tree/master/multiphysics/TFC_python/enthalpy) and files for the case with source term quenching and custom wall boundary conditions are in the folder [quench](https://github.com/su2code/Tutorials/tree/master/multiphysics/TFC_python/quench) + + +### Background + +Turbulent combustion can be very expensive to simulate, especially when high accuracy is required and detailed information about specific species (NOx emissions for instance) is required. The Turbulent Flamespeed Closure (TFC) model, first pioneered by Zimont, is a very simple model for turbulent premixed combustion that aims to give accurate predictions for temperature in turbulent premixed combustion. When the goal is to mainly resolve the flame structure and gas temperature to compute for instance burner temperatures in a conjugate heat transfer setup, then the TFC model has sufficient accuracy. In the TFC model, a transport equation for the progress variable is solved: + +$$ \frac{\partial c}{dt} + \nabla \cdot (\rho u c) = \nabla\cdot (\frac{\mu_t}{Sc_t}\nabla c) + \rho S_c$$ + +and the combustion source term is given by +$$ S_c = \rho_u U_t \nabla c$$, +with $$\rho_u$$ the unburnt density of the gas an $$U_t$$ the turbulent flamespeed. The Zimont model uses the gradient of the progress variable to construct the source term, but other models exist as well. These models can be implemented easily in SU2 by writing a user defined source term in the python wrapper. + +### Problem Setup + +First, SU2 needs to be compiled with python support. Add the option *-Denable-pywrapper=true* to the meson setup. In this case, we compile including mpi support: + +```bash +$ ./meson.py setup build --optimization=2 -Ddebug=false -Denable-pywrapper=true -Dwith-mpi=enabled -Dcustom-mpi=true --prefix=/home/user/Codes/su2code/su2/ +``` + +Note that the python wrapper (or your python setup) might need additional python packages that you need to install. Especially the python package mpi4py is important if you would like to work with mpi. The mpi4py package should match your installed mpi library, usually openmpi or mpich. The easiest way to setup a working environment is to create a conda environment and install all necessary packages in this environment. + + +### Mesh Description + +The geometry of this testcase is provided as a gmsh file and matches the of the experimental setup of Griebel et al (2007), [doi](https://doi.org/10.1016/j.proci.2006.07.042). + +The mesh consists of a a coarse structured mesh with 16.3k cells and 16.6k points. The mesh was created using Gmsh and the configuration file to create the mesh can be found here: [psi.geo](https://github.com/su2code/Tutorials/tree/master/multiphysics/TFC_python/psi.geo). The only thing you need to do to create a mesh from the geometry is start Gmsh, and then load the .geo file. You will then see the geometry in the Gmsh visualization window. If you click on *Mesh->2D* the 2D mesh will be generated. You can then export the mesh as a .su2 file by choosing *File->Export*. The mesh will automatically be saved in su2 format when the filename has been given the extension .su2. In general, you should not choose *save all elements* because this will also save additional points that were used to construct the geometry but are not part of the final mesh, like for example the center of a circle. + + +### Configuration File Options + +The setup for this testcase consists of 2 files: +- the run.py file is the python file that runs the case. in this file, we simply import the su2 capabilities using *import pysu2* +- the psi.cfg file for the basic setup. Some settings will be overwritten by python. + +In the configuration file, we have set up a case for turbulent incompressible flow using the k-omega SST model. We have also deactivated the energy equation (sensible enthalpy) and species transport. +``` +SOLVER= INC_RANS +KIND_TURB_MODEL= SST +INC_ENERGY_EQUATION= NO +KIND_SCALAR_MODEL= SPECIES_TRANSPORT +PYTHON_CUSTOM_SOURCE= YES +``` + +Note that the although the enthalpy equation is not solved, the enthalpy field is present. It is just a constant field and not altered by any computation. Every iteration, the temperature is computed from the enthalpy field, independent of the energy equation being active or not. +To activate the custom source term, the keyword **PYTHON_CUSTOM_SOURCE= YES** is used. + +in the python file, we have defined several functions to set up the testcase. The first function creates a simple initial condition for the progress variable c: +```python + +################################################################## # +# create a function for the initial progress variable c # +# ################################################################ # +def initC(coord): + x = coord[0] + #y = coord[1] + #z = coord[2] + # location where the flame should be + flame_x = 0.012 + if (x < flame_x): + C = 0.0 + else: + C = 1.0 + + return C + +# ################################################################### +# loop over all vertices and set the species progress variable c # +# ################################################################# # +def SetInitialSpecies(SU2Driver): + allCoords = SU2Driver.Coordinates() + iSPECIESSOLVER = SU2Driver.GetSolverIndices()['SPECIES'] + for iPoint in range(SU2Driver.GetNumberNodes()): + coord = allCoords.Get(iPoint) + C = initC(coord) + # now update the initial condition for the species + SU2Driver.Solution(iSPECIESSOLVER).Set(iPoint,0,C) + +``` + +![TFC_temp_init](../../../tutorials_files/multiphysics/TFC_python/images/TFC_temp_init.png) +Figure(2): initial temperature field created using the python wrapper + +Note that when setting the species solution, we use the index=0, because we have only 1 species transport equation. When setting a flow solution, the index to the required field should be used. The indices can be retrieved using: +```python +print("indices of solver variables: ", getsolvar(driver)) +``` +with the result: +``` +indices of solver variables: {'PRESSURE': 0, 'VELOCITY_X': 1, 'VELOCITY_Y': 2, 'TEMPERATURE': 3} +``` + +Note that index 3 is actually the sensible enthalpy, and from this, we compute the temperature. In our setup we want to overwrite the temperature. Because internally, temperature is always computed from the energy equation (be that temperature, or enthalpy), it is best to overwrite the enthalpy and let SU2 compute the temperature internally. + +in the main function, we simply check in the config file if **RESTART=YES** to decide if we want to overwrite the initial solution for the progress variable with our user defined initial solution: + +```python + # ### Check if we do a restart or not. ### + with open('psi.cfg') as f: + if 'RESTART_SOL= YES' in f.read(): + if rank == 0: + print("restarting from file") + else: + # We can set an initial condition by calling this function: + if rank == 0: + print("Using user defined initial condition.") + SetInitialSpecies(driver) + +``` + +The functions *update_temperature* and *zimont* implement the algebraic temperature relationship and the source term for the progress variable. Then in the main function, we simply loop over all points in the domain, compute the source term and add it to the progress variable equation: +```python + Source = driver.UserDefinedSource(iSPECIESSOLVER) + + # set the source term, per point + for i_node in range(driver.GetNumberNodes() - driver.GetNumberHaloNodes()): + # add source term: + # default TFC of Zimont: rho*Sc = rho_u * U_t * grad(c) + S = zimont(driver,i_node) + Source.Set(i_node,0,S) + +``` + +Note that we do not add the source term to the halo nodes, which are used in parallel computing. In parallel computing we divide the mesh in parts and each cpu gets a part, which is called a rank. The points on the interface between ranks need information from the other side of the interface. But this information is computed on another rank and not directly available. This is why each rank has halo points, which are copies of the points on the other side of the rank. During a synchronisation step, all information in the halo nodes is updated so the local computations on each of the ranks can proceed with the correct information present at the rank boundaries. They should not be taken into account in any computation, because they are in fact copies of points that *are* taken into account during the computation. +For the temperature update, we update all points, including the halo points. Because we overwrite the entire enthalpy (and temperature) field, and no other computations are performed on the enthalpy field, the halo points would not get updated and not updating them will lead to incorrect computations of gradients at the rank interface. + +```python + # for the update of temperature, we need to update also the halo nodes + for i_node in range(driver.GetNumberNodes()): + # set the temperature to T = c*Tf + (1-c)*Tu + update_temperature(driver, i_node) +``` + +The actual temperature update is done in update_temperature: +```python +# ################################################################## # +# Temperature is an algebraic function of c +# ################################################################## # +def update_temperature(SU2Driver, iPoint): + # first, get the progress variable + iSPECIESSOLVER = SU2Driver.GetSolverIndices()['SPECIES'] + # Note: returns a list + C = SU2Driver.Solution(iSPECIESSOLVER)(iPoint,0) + T = Tu*(1-C) + Tf*C + + iFLOWSOLVER = SU2Driver.GetSolverIndices()['INC.FLOW'] + # 0 1 2 3 + # pressure, velocity-x, velocity-y, enthalpy + iENTH = 3 + SU2Driver.Solution(iFLOWSOLVER).Set(iPoint,iENTH, cp_u*(T-Tref)) +``` +We update the sensible enthalpy and let SU2 compute the temperature internally. + +The computation of the source term according to Zimon is given by: +```python +# ################################################################## # +# Source term according to Zimont +# ################################################################## # +def zimont(SU2Driver, iPoint, nDim): + + iSSTSOLVER = SU2Driver.GetSolverIndices()['SST'] + tke, dissipation = SU2Driver.Solution(iSSTSOLVER)(iPoint) + + iSPECIESSOLVER = SU2Driver.GetSolverIndices()['SPECIES'] + # get the gradient of species_0 + gradc = SU2Driver.Gradient(iSPECIESSOLVER)(iPoint,0) + primindex = SU2Driver.GetPrimitiveIndices() + iDENSITY = primindex.get("DENSITY") + iMU = primindex.get("LAMINAR_VISCOSITY") + + rho = SU2Driver.Primitives()(iPoint,iDENSITY) + mu = SU2Driver.Primitives()(iPoint,iMU) + nu=mu/rho + # Turbulent Flamespeed Closure with Dinkelacker correction + up = np.sqrt((2.0/3.0) * tke ) + lt = (0.09**0.75) * (tke**1.5) / dissipation + Re = up*lt/nu + + Ut = Slu * (1.0 + (0.46/Le) * np.power(Re,0.25) * np.power(up/Slu,0.3) * np.power(Pu,0.2) ) + + norm_gradc = 0.0 + for idim in range(nDim): + norm_gradc += gradc[idim]*gradc[idim] + norm_gradc = np.sqrt(norm_gradc) + Sc = rho_u * Ut * norm_gradc + + return Sc +``` +Note that we are using here a different formulation for the turbulent velocity, as described in papers by Dinkelacker and Muppala. The turbulence velocity is now such that if the turbulent kinetic energy is zero, the laminar flame velocity is retrieved. We also include a correction for the Lewis number to take into account the effect of preferential diffusion on the flame speed. This allows to work with hydrogen as a fuel as well. Note that for accurate simulations of hydrogen flames, especially in the laminar regime, preferential diffusion needs to be taken into account in a more elaborate way by introducing the mixture fraction and by considering the flame as a partially premixed flame (even a perfectly premixed hydrogen flame will become partially premixed in the flame zone). + + +### Running SU2 + +If possible, always use a parallel setup to reduce computational time (wall clock time). Run the SU2_CFD executable in parallel using MPI and 4 nodes by entering: + +```bash +$ mpirun -n 4 python run.py +``` + + +### Results + +![TFC_source](../../../tutorials_files/multiphysics/TFC_python/images/TFC_source.png) +Figure (3): visualization of the TFC source term for the turbulent combustion model, together with the streamlines. + + +The solution of the flame region can be visualised using the User Defined Source UDS_0. A large recirculation region has also formed between the flame and the wall of the combustion chamber, causing heat transfer between the flame and the wall. + +Note that we clip the species between [0,1] to prevent (temporary) unphysical values and prevent divergence. Sometimes this clipping is necessary on coarse grids. The clipping will be visible in the residuals of the progress variable, since clipping prevents local convergence. + +### Heat losses: enthalpy source term + +When heat losses at the wall need to be taken into account, this can be done by solving the energy (enthalpy) equation. The wall boundaries can be given a wall temperature in the usual way. To take into account combustion, we add a source term similar to the Zimont source term for the progress variable. This replaces the algebraic computation of the enthalpy and temperature. + +```python + iENTH = 3 + Source_h.Set(i_node, iENTH, 0.0284*50.5*1e6*S) +``` + +The source term S needs to be multiplied by the lower heating value of the mixture 50.5 MJ/kg and the mass fraction of methane in the mixture (with equivalence ratio 0.5, this amounts to Y=0.0284). +In the config file, the wall temperature can now be set to an appropriate temperature. Since the combustion chamber is known to become very hot, we set the walls to 1200K. The wall temperature is imposed weakly, meaning that we compute the wall flux from Fourier's law and impose that flux: + +$$q_w = k_f \left( + \frac{\partial T}{\partial n} +\right)_{\textrm{wall}}$$ + +The near wall mesh needs to be fine enough to accurately represent the flux. + + +![TFC_source](../../../tutorials_files/multiphysics/TFC_python/images/TFC_temp_heatloss.png) +Figure (4): visualization of the temperature with a line plot showing the wall temperature. + +Figure 4 shows the temperature in the domain, clearly showing the thermal boundary layer at the wall. In the upper left corner the temperature redistribution due to the recirculation zone is also clearly present. +More accurate modeling can be achieved by taking into account the effect of heat loss on the laminar flame speed. In cantera, the laminar flame speed can be computed and a relationship for the laminar flame speed $$S_L(\Delta h_t)$$ as a function of the enthalpy deficiency can be used instead of a constant $$S_L$$. The local flame quenching due to heat losses at the wall can then be taken into account. The total enthalpy can be computed from the sensible enthalpy and the progress variable, noticing that when the progress variable is 1, then all chemical enthalpy has been converted into sensible enthalpy. + +The heating value of methane is 50.5 MJ/kg, and with a mass fraction of $$Y=0.0284$$ we have a chemical enthalpy of + +$$h_{\textrm{chem}}^{\textrm{max}} = 1.4342 MJ/kg$$. + +With our chemical enthalpy converted to sensible enthalpy, our flame temperature ends up to be around 1735K. + +With the measured flame temperature of T=1777K (used in our algebraic relationship for temperature), we compute a sensible enthalpy of 2MJ/kg, very close to the total enthalpy computed using the sum of the initial sensible enthalpy and the chemical enthalpy. + +Our progress variable now tells us that the chemical enthalpy that we have left is + +$$h_{\textrm{chem}} = c \cdot h_{chem}^{\textrm{max}}$$. + +Since total enthalpy is conserverved during combustion, the temperature difference between the actual temperature and the temperature computed from the sensible enthalpy gives us the heat loss. With this enthalpy deficiency we can compute the local laminar flame speed and the corrected source term. + +![TFC_source](../../../tutorials_files/multiphysics/TFC_python/images/TFC_source_correction.png) +Figure (4): visualization of the source term showing the results using constant laminar flamespeed (top) and the variable laminar flamespeed (bottom). + + +![TFC_source](../../../tutorials_files/multiphysics/TFC_python/images/TFC_temp_correction.png) +Figure (5): visualization of the temperature showing the result using constant laminar flamespeed (top) and the variable laminar flamespeed (bottom). + +Figures 4 and 5 show a comparison between the simulation results using a constant laminar flamespeed and a variable laminar flamespeed that takes into account local heat losses. In Figure 4, the source term is smaller close to the wall where the flame attaches. The temperature field in Figure 5 shows that the flame zone is more diffusive. +![TFC_source](../../../tutorials_files/multiphysics/TFC_python/images/TFC_c_correction.png) +Figure (6): Line plot of the progress variable on the centerline showing the result using constant laminar flamespeed and variable laminar flamespeed. + +Figure 6 confirms that the flame is more diffuse with variable S_L. + +Note that with python it is also very easy to impose temperature profiles. The code is simply: +```python + +def ApplyWallTemperature(SU2Driver, marker_ids): + """Applies an isothermal wall boundary condition on a specific wall""" + for marker_id in marker_ids: + if marker_id < 0: + continue + allCoords = SU2Driver.Coordinates() + # the top horizontal wall is 1200K, but the vertical side wall goes from 1200K down to 700K + # to match the inlet pipe temperature (which has zero heat flux BC) + for i_vertex in range(driver.GetNumberMarkerNodes(marker_id)): + i_point = SU2Driver.GetMarkerNode(marker_id, i_vertex) + coord = allCoords.Get(i_point) + Tw = 673 + 500.0 * (coord[1]-0.0125)/0.025 + driver.SetMarkerCustomTemperature(marker_id, i_vertex, hf) +``` +And in the config file, we simply add +```bash +MARKER_PYTHON_CUSTOM= (wall_top, wall_side ) +``` + +The wall temperature is now a function of the vertical coordinate y. + + + diff --git a/tutorials_files/multiphysics/TFC_python/images/TFC_c_correction.png b/tutorials_files/multiphysics/TFC_python/images/TFC_c_correction.png new file mode 100644 index 0000000000000000000000000000000000000000..d028b9219c71ac5c9074ac16a6606b405da21d8b GIT binary patch literal 21065 zcmb?@by!th_wA-c8U+KSB~?I4X#@lgU80hr(j}?VC}q$k9TK9Hbfco8AYDobh;(;z z?%e42y}$VGbN{(M55hUS)?Rz9G3Oj(to=koO@WMdM$Rj@7rDVqZUD0{xW!1 ziE)Umy0r{6$~Z?Jozdt1{`Awv7lJpLW#yWo=_j6Dw>YQ6%Ubp{1P)47wjeE2% zUl>!g7I_c>amVGetdS~p!`u6pS}(4$F-P7t<7-}Z2$@uoOi_R2@pYxi{GqpvWJ((c zG>j=^t`}`5Q}0n|G!i5x!wJ8Bg;2un_*9(r!-Y)?|KB&c3Ha$=zpkI4mE1QQZ5iKd zCP&jIB1zg1W^(%P-zr^EeY2%PXP;KBJ~!lvwX2>N`e7q$j~5b42VGB^lAdEZY1 zzWYeeObvbU{(^Cxfx7szUumVX+WK3xG0{;`7VW85+?L)G<_(z~>@RxHJ|f{M6uN&i zG&zJ2&eQh2$n=?z&3C5kF0PceY-OHGxl_g-Z}TgD5zn^22y#0*RBoS=U%R0XL7QWwNfNKSuqMBbREAwJ$vlC zP}I!R)j%PYYgFqtomc*|^XZB6-PQN)Z3oI!g%VViV|jX1g@-a;DumATTNm`yAFT6w z&gu_$Zq{QxRTG3%7i%|@ZG;kp>;_*AV-Ge(-PT^kT)3HDzdvu^^yN!CG^eM)Sn9-y z6FDU%B}1XZy^X}*ORZx+2cOCQ@IeOCS>-Ytm6Sw37h3v?w~>NYKv7UouxjS@n_NS< z2~6Wf(rY?87K0TIuk-SHqz;xTg6YL{i_P1}PmZMUnLf=@O~~r+*X!x+otZ0c>&?Ac z{D^UEz0bI>=HY6|oksH7<JByaO&g-eh3t-$g<~phu>)uREnAL9dTknKo zw|y9sKEG_uA#HIoT{Eco7*xZw6u2R+_&X6%7y+?<;g^+ zkcrl$^BA;S=SPi|l$E$uv zD6?Yrch(;q#f7aa0%*@;=!0zzUOStJ2)T})1U)h;0u>SoeJYK@Rj1}8hKNcdk z_W6uGeq+hzvO*{WJ>8x4OkPh+Pfw5A&UE&*n>TaL7u0B-*Uip~KdgCa zo`EyEEyY6j^-~7B9u=rd?K}5$cl)jFpdC@`zS$dFzh`PYSkcj+SC8Fa)GM(F4`GmS z(<*enOvk6Hy}rJ_(|W(|rPxA+?48fgJ7Am?thPx>+02D8%dV|7^9Gh;BD$u#{fMYo zx6Kt~2_z44#P`>_s;1JPIWJUBo;!P1mf!4KdvTkjHGOZ|yX4N+r}{_pa&kJFqR;2G zh4}$TT1P{@ubhf;Cv&TIb$pKHUHc#(WCNE$KGN-CT6kz}z=JScyeD2u9^KP0h63 z#d>4j`n@7_@?$#Nyf*m9$Hy(VmPXxX^U5zUF8kSg?+#RLPb9bux%5q!bg4xGKr+96 z^-9CkG&321VI*RYzfJt5)ZQq?d&>S3+}zwd%c0)6!+R6LR+g3>@q*R@UV9H_3(3i7 z1-|rChgbNwM?@UwHm(!TwVm%TZE9&DvsQLdRaI^J`c-6F_@rEHRBFZyap3uW@hGANY3lmokRDB^U%A^vYh!q!rT3fx6Wc)k)s-Wuq$ZYdtu0_O(Gtk zfTw0jW|q>_)YP&oOSNiup?ZDlWoVOKxix@?+wX7%9Sx0J^bBwPNlwiG+;zXwdjnX`$7kdU+R}q zk|y+0UIvwwl|=(Djb0$kv}evlCnc#K4ZalGcs8&h?b|n%!^hhYOG&G5RB%1O#F>kU znJ-1i>s)B#ORwzBVpo?h|n+2DW5OGF4Z(M`8F?F)M(fi`3p5MgDI>Uzb z`Vr0*%Z220yBcDlJp_%|xz23CkrJHu<>5E7)RL@hBZlny-W1eX*)GJq@NZwA?bA;H z1Ug<6@J*ZGo3;pt{R_UiOV1dBBFe~be!@*5f{hVUHUURk8iE7aFbU+>Z^|dz$X&@f zLhYfszp|%1FT1mY}m7$L^FYm zqqC%w#-TR0{P#jQIipz(@5xsNY|tyU%Y_~upOIUfXv>|WZ!S!fs7Q?l&j`6&Sx$?M zSaH*-y8-+Twd=k5&}XWF*Zf3j`!v1X(I_eblN9E6`H*YELiM8LY*?x{c6YdHXXed% zU;RN(|A`amnU2307}IT080aTW^1a#GS(kZ^i&kYs1s9KyynAiBE3d`jt!eW~+wX-} z)Uvf9-HA1De8N+=b=%P4(}~_Rhbw3g_~M(1l`}jjZ;?pyjcZ-OIdxog?006YQK!gc z;>+-}3P%P`a_eP~@YZMu4|@~?_`GIQj+ug)n83%!C*V4F1D=sOpyWAj?w&|>Ni?Lx zaJ~WIQS`x5Dyz$u7hD)k5t6+R9tsKxz0Syx3za&k0DwHchdt_%`03dx>&6iJbDW&* zo2=?jg&f&{-zlMM_oJk>uq znEU$mIYamPQY%~Ao+vJD0h15-^MjSz&{<~{Lb@SbouB z3ZB|G@?5`0FX?f^d%M|K=lb<*2*3K*jXg^x54OfeP8amOd6QqI)Mt1kI&t>9s2QLzmp^7hJJNHhTP1MeuTj7k4LXvzur8y%*nx_a7M_c{n~ZI%(*!m z2o{=X>*szHvu!V`{5x<;>D;^-2e^C2LqEdEdw-pL*#1ixGm5^C?L*H9tF2D7bj|d< zaasO!N;%^7>(|cj2~JJLTjz)Wt~Xj$klG2C4`s;nK3Gkm6@PGVX}^9glQ*ZTN)IAd z$+`3AUB;uYTYY+ZqUp<&0o?^IuD3!in8^bj1Zg)-Q=XsQkfgFPw>KBA*)J0?4=F9( zEwhbmYGTEZ2g(Apbv5(W=jz*4UVU@DpceuU8-~$i$+uNvbFh6giZz%)LUhaRd!Y%l zgjaZt@zku3=1ckMPp6DY1KJ^GPnGr=b)kWz&>=1^PSo+Y;*F!xd+#?mq_&?hcx{<* z-zb!Zw4gnLP5HxT=Z{t2hOePh=k|qr6;tb;*G$~S@%WQt$t&kR-g0gYI;O>;9;EPl zt*hZ@&3xH_^X`24?A~hIb!%(udo=E7hi#9?Hhfn4C#Z_#u{^AwA1K#%+qXrV@z|b% zUR0+mTfI+PUE&0vlG}V~AKI6GrRbdg4}tfL5PLETBp;>So98c-D%`wz6T)Q-%nufr zOK7?aD4<_ho1QKc9UbikG3Al+Y@7J%^Mj>8Dg1`J`f&ZB>igEyotbFTZCXCCJ}HI0 zY2BOKk%HYbhq$I3Az<1>EwR=v>$cu=UC?vKSx{JbHe7+B91eb?lB$Ow4Qy*k9Mw46obiDR`ZegE3F>EJJf_{?^N9Ps{N0@s&7? z$#dT{AS8N4JQIe8<{{~>mNv%yRU z3Ia9H{aIrQnhqDCl(xxYq0i4+%(N*EmL+~|EssH95AOFOF3EfQR`bV?AC8yldU@o+ z8^^*MMl~S3|BdZmv9cs@$Dm$19pLEbm}_`Ur2SrMOKoy-KwIyZVtN1PD#igOuPQ5V zK79DFH=n%HfQQ?t=JH&W=<(~UG@)@YsH$G&)h2&)WBH+yB-+!@T0N8xn9$QtcR1oi zb845qGM{CA8GJ@qFX7iCs41oW`Ue)jM!4U#u`8boq);~Aep*Um8H8>jJep$o+Y#fw zskFY{S!P=_>|Wr=I^CuI*ncFv4jnEfFKd@7mueOZhl{y=+bf;2*9yEbn?J4TnOjoS zkNUHsl`Ds(b=xFh;ANY;
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zPpntmcC1Tune(dH(r>C)r>?uN+=K5Rsa=+peUh_6poS#m`-n=h2ag`foK2`t#S9Q- z3R&5DzE+b0jaUndD;#rcN;|7@oQF^WQ4nE{LWBW#SVCa}P>^o-?np}ko=|kvYocI= z*oYE$<7-tJh1mRjXCtG2LVg5^g+7}g0FBNLJA9;K@8AD|i2U^#gKp%7jmgFx*HG0* zwPXf43$%U~{Z!Z?hE7$9wF8}?e*N-?a1K z9CRGX_Zw6!Ei7KEr$x<;XrUzlYe&t=r8GG+qmyamYjZY&AXyvW%h=O{^@rPdih3!|UiXXRwDcRZ0L9m7xydPVvpbdwGt)MI5&w-~dtaVx`pn!p$ zSNBf#d2#`BF#VwHdr;4N{(KD8b0jzX46H)vyl6k+{2ZeHTrau|iVel4O{IZ> zw1|t?SksBviwYpX9WpUiYpAP>Xzm0~2Sj-fRD`;#g8}p-A#{~O`oorpi5_8eU!yi) zYHEtGix%0D(b3W0zmp98ZiG4UuZ zyR*=hXd6Mp7bNqB`PDlU!%3{PUkUI84FeDp* zq-rsbU4mqYs$Z^+T*mDY>|)=Kiueyk;%%&AYtY_}w-rPgOb)oz4BW}6=E%4*dI{k_ zznjvcA-kZd77mMz_&vYYbueP*pTFa4SP@*xqKXJ2BKxlUhliUb5I{tvnFm|HU}k$? zQ*98Pn`t%67N9G|`i5XnpH|jg(OO~jkbuS$`!)}*-L5{x?4M57yz8L&kRS*@LIV;_??$E?jf}UvZi2s{jB1 literal 0 HcmV?d00001 From 3e37639c66125dce2fd7eb3af6db3566eb9acb61 Mon Sep 17 00:00:00 2001 From: EvertBunschoten Date: Thu, 15 Jan 2026 16:02:59 +0100 Subject: [PATCH 09/28] Updated tutorial documentation --- .../NICFD_nozzle/NICFD_nozzle_datadriven.md | 32 ++++++++++++------- 1 file changed, 20 insertions(+), 12 deletions(-) diff --git a/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md b/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md index 61cd6ae9..1e714a29 100644 --- a/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md +++ b/_tutorials/compressible_flow/NICFD_nozzle/NICFD_nozzle_datadriven.md @@ -49,7 +49,7 @@ The following steps explain how to train physics-informed neural networks for da Similar to SU2, SU2 DataMiner uses a configuration file to store information regarding the type of fluid, the resolution of the training data set, and the hyperparameters of the networks. Running the script [0:generate_config.py](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed/0:generate_config.py) generates the SU2 DataMiner configuration used in this tutorial and is saved as a binary file named ```SU2DataMiner_MM.cfg```. ### 2. Generate Training Data -The thermodynamic state data used to train the network for the data-driven fluid simulation is generated using the Helmholtz equation of state evalauted through the python module for CoolProp. The thermodynamic state data are generated on a density-static energy grid for the gas and supercritical phase between the minimum and maximum density of the fluid supported by CoolProp. +The thermodynamic state data used to train the network for the data-driven fluid simulation is generated using the Helmholtz equation of state evalauted through the python module for CoolProp. The thermodynamic state data are generated on a density-static energy grid for the gas and supercritical phase between the minimum and maximum density of the fluid supported by CoolProp. The ranges for density and energy or pressure and temperature within which training data are generated can be manually specified. By running the script [1:generate_fluid_data.py](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed/1:generate_fluid_data.py) will generate the thermodynamic state data used for the training of the network and generate contour plots of the temperature, pressure, and speed of sound. The complete set of thermodynamic state data is stored in the file titled *fluid_data_full.csv*. 80% of the randomly sampled fluid data is used to update the weights of the network during training, 10% is used to monitor the convergence of the training process, and the remaining 10% is used to validate the accuracy of the network upon completion of the training process. The complete data set contains approximately 2.3e5 unique data points. @@ -59,7 +59,7 @@ Figure (1): Section of training data set near the critial point ('cp'). ### 3. Train physics-informed neural network The network used in this tutorial uses two hidden layers with 12 nodes each. The exponential function is used as the hidden layer activation function. This is an unusual choice, but is motivated by the fact that it reduces the computational cost required to calculate the network Jacobian and Hessian during the CFD solution process. -The training process uses an exponential decay function for the learning rate, with an initial value of 1e-3. During each update step, the weights and biases of the network are adjusted according to the value of the loss function evaluated on a batch of 64 training data points. +The training process uses an exponential decay function for the learning rate, with an initial value of 1e-3. During each update step, the weights and biases of the network are adjusted according to the value of the loss function evaluated on a batch of 64 training data points. The hidden layer architecture and learning rate of the network used in this tutorial were selected through trial and error. More details regarding the training method are presented in the [literature](https://doi.org/10.1016/j.compfluid.2025.106932). The training progress can be followed from the terminal, but can also be monitored from the training convergence plots that are periodically updated under ```Worker_0/Model_0/```. @@ -68,15 +68,24 @@ After training, the weights and biases of the network are stored in the SU2 Data IMAGE: training history plot, predicted vs training data +![TrainingHistory](../../tutorials_files/compressible_flow/NICFD_nozzle_datadriven/images/TrainingHistory.png) +Figure (2): Training convergence history + + +![Z_comparison](../../tutorials_files/compressible_flow/NICFD_nozzle_datadriven/images/Z_contours_comp.png) +Figure (3): Compressibility factor from reference data (black) and evaluated by data-driven equation of state (red). + + ### 4. Preparation of the Simulation To run data-driven fluid simulations in SU2, you need the SU2 configuration file, the mesh, and the file describing the multilayer perceptron. Running the script [3:prepare_simulation.py](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed/3:prepare_simulation.py) generates the computational mesh, writes the SU2 configuration file, and writes the ASII file containing the weights and biases of the network. The mesh is generated using gmesh in which the computational domain is generated accoring to the nozzle contour. The nozzle wall is modeled as a non-slip surface and prism layer refinement is applied to resolve the boundary layer. -IMAGE: highlight of mesh +![mesh_highlight](../../tutorials_files/compressible_flow/NICFD_nozzle_datadriven/images/mesh_highlight.png) +Figure (4): Computational mesh used for the nozzle flow simulation (top) and highlight of the throat area near the wall (bottom). -The inflow condition is modeled as a non-reflective Giles boundary condition where the pressure and temperature of the critical point of the fluid are imposed as the stagnation pressure and stagnation temperature. The outflow is also modeled as a non-reflective Giles boundary condition, where a static pressure 10 times lower than the inflow pressure is imposed. +The inflow condition is modeled as a non-reflective Giles boundary condition where the pressure and temperature of the critical point of the fluid are imposed as the stagnation pressure and stagnation temperature. The outflow is also modeled as a non-reflective Giles boundary condition, where a static pressure 10 times lower than the inflow pressure is imposed. To improve the stability of the solution process, the pressure imposed at the outflow boundary ramps down from the inflow stagnation pressure to the target value over the course of the first 200 flow iterations. The data-driven fluid model with the physics-informed entropy-based equation of state is enabled through the following options in the [SU2 configuration file](https://github.com/su2code/Tutorials/tree/master/compressible_flow/NICFD_nozzle/PhysicsInformed/config_NICFD_PINN.cfg): ``` @@ -87,21 +96,20 @@ FILENAMES_INTERPOLATOR= MLP_siloxane_MM.mlp ``` where the ```USE_PINN= YES``` option enables the use of a physics-informed neural network for thermodynamic state calculations. The file ```MLP_siloxane_MM.mlp``` is the ASII file which describes the network architecture and the network weights and biases. At the start of the SU2 solution process, the network weigths and biases are imported into SU2 through the MLPCpp sub-module. -IMAGE: inflow-outflow isentrope compared to training data ### 5. Run SU2 The simulation us run by the following command ``` mpirun -n SU2_CFD config_NICFD_PINN.cfg ``` -where `````` is the number of cores. +where `````` is the number of cores. [Figure 5](#mesh_highlight) shows the residual trends of the flow solution of the course of 10k iterations. -IMAGE: simulation convergence trends +![mesh_highlight](../../tutorials_files/compressible_flow/NICFD_nozzle_datadriven/images/convergence_history.png) +Figure (5): Convergence history of the SU2 simulation. -### Results - -IMAGE: flow field -IMAGE: solution w.r.t. training data +### Results -IMAGE: comparison to CoolProp solution +The Mach number and compressibility factor of the flow solution is visualized in the image below. The flow expands to supersonic speeds in the divergent section of the nozzle, where the compressibility factor approaches a value of 1.0, while the compressibility factor is significantly lower in the convergent section of the nozzle. +![mesh_highlight](../../tutorials_files/compressible_flow/NICFD_nozzle_datadriven/images/Mach_Z.png) +Figure (6): Mach number of the flow solution (top) and compressibility factor of the fluid (bottom). From 3f0ddcdff02165b5da2dfcc0c9c0b153fe5bd195 Mon Sep 17 00:00:00 2001 From: Nijso Date: Thu, 15 Jan 2026 23:23:22 +0100 Subject: [PATCH 10/28] Urban city simulation (#195) * update * urban city update --------- Co-authored-by: Pedro Gomes <38071223+pcarruscag@users.noreply.github.com> --- _data/tutorials.yml | 1 + .../Inc_Urban_City/Inc_Urban_City.md | 181 ++++++++++++++++++ _tutorials/index.md | 2 + .../images/amsterdam_buildings.png | Bin 0 -> 824188 bytes .../images/amsterdam_complete_map.png | Bin 0 -> 4176314 bytes .../Inc_Urban_City/images/fire_zoom.png | Bin 0 -> 128814 bytes .../Inc_Urban_City/images/gmsh_mesh.png | Bin 0 -> 92314 bytes .../Inc_Urban_City/images/gmsh_mesh_zoom.png | Bin 0 -> 70262 bytes .../Inc_Urban_City/images/residuals_fine.png | Bin 0 -> 59798 bytes .../Inc_Urban_City/images/wind_velocity.png | Bin 0 -> 328537 bytes .../images/wind_velocity_zoom.png | Bin 0 -> 429721 bytes 11 files changed, 184 insertions(+) create mode 100644 _tutorials/incompressible_flow/Inc_Urban_City/Inc_Urban_City.md create mode 100644 tutorials_files/incompressible_flow/Inc_Urban_City/images/amsterdam_buildings.png create mode 100644 tutorials_files/incompressible_flow/Inc_Urban_City/images/amsterdam_complete_map.png create mode 100644 tutorials_files/incompressible_flow/Inc_Urban_City/images/fire_zoom.png create mode 100644 tutorials_files/incompressible_flow/Inc_Urban_City/images/gmsh_mesh.png create mode 100644 tutorials_files/incompressible_flow/Inc_Urban_City/images/gmsh_mesh_zoom.png create mode 100644 tutorials_files/incompressible_flow/Inc_Urban_City/images/residuals_fine.png create mode 100644 tutorials_files/incompressible_flow/Inc_Urban_City/images/wind_velocity.png create mode 100644 tutorials_files/incompressible_flow/Inc_Urban_City/images/wind_velocity_zoom.png diff --git a/_data/tutorials.yml b/_data/tutorials.yml index 0ae1b490..cfd87330 100644 --- a/_data/tutorials.yml +++ b/_data/tutorials.yml @@ -32,6 +32,7 @@ - Inc_Species_Transport_Composition_Dependent_Model - Inc_Von_Karman - Inc_Turbulent_Bend + - Inc_Urban_City - title: Structural Mechanics tutorials: diff --git a/_tutorials/incompressible_flow/Inc_Urban_City/Inc_Urban_City.md b/_tutorials/incompressible_flow/Inc_Urban_City/Inc_Urban_City.md new file mode 100644 index 00000000..353bef12 --- /dev/null +++ b/_tutorials/incompressible_flow/Inc_Urban_City/Inc_Urban_City.md @@ -0,0 +1,181 @@ +--- +title: unsteady pollutant dispersion in a city +permalink: /tutorials/Inc_Urban_City/ +written_by: Nijso Beishuizen +for_version: 8.4.0 +revised_by: +revision_date: +revised_version: +solver: INC_NAVIER_STOKES +requires: SU2_CFD +complexity: intermediate +--- + +![urban_city](../../../tutorials_files/incompressible_flow/Inc_Urban_City/images/wind_velocity.png) + +Figure (1): Flow through the streets of the city center of amsterdam. + +## Goals + +In this tutorial we will look at the modeling of wind speed and pollutant dispersion in a realistic depiction of a city - in this case the city center of Amsterdam. We will show the following aspects: +- outline of creating a mesh of a city using GIS data +- obtaining weather data of a specific date +- simulate wind velocity to map pedestrian comfort. +- simulate dispersion of a smoke cloud from a point source (burning car for instance) through streets to assess evacuation zone + + +## Resources + +The resources for this tutorial can be found in the [incompressible_flow/Inc_Urban_City](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Urban_City) directory in the [tutorial repository](https://github.com/su2code/Tutorials). + + +### Background + +CFD simulations around buildings in a city have many applications. One application is to investigate pedestrian comfort due to strong winds that can occur around large buildings. Another application is the risk assessment in case of an accident where harmful polutants are released, for instance the smoke of a car fire. Both of these cases can be simulated with SU2 very easily. The challenge is in obtaining a mesh of the region of interest. + +Information about buildings, specifically their surface shape and often even their height and 3D shape, is available in many countries like the Netherlands. This data is stored in GIS-databases (Geographic Information System). Google maps and google earth are examples of well-known GIS databases. We will use 2D building information and create a 2D mesh from it. +With a simple python script it is possible to retrieve information of buildings given a city name, or longitude-latitude coordinates. +These building contours then need to be converted into a set of closed contours that can be given to a mesher like gmsh to create a 2D mesh for the SU2 CFD solver. + + +### Pedestrian comfort: flow through the streets of Amsterdam + +What was the least comfortable street to walk on in the city center of Amsterdam, on new years day 2026 at noon? + +First, we need the average wind velocity at that time. A simple python script can get that information from open-meteo, given the latitude and longitude, using the python requests library: + +```python +import requests +city center of amsterdam +[lat,lon]=[52.373080,4.892453] +# Open-Meteo API endpoint (free, no API key needed) +url = "https://api.open-meteo.com/v1/forecast" +date="2026-01-01" +#time=12:00 +params = { + 'latitude': lat, + 'longitude': lon, + 'start_date': date, + 'end_date': date, + 'daily': 'temperature_2m_mean,pressure_msl_mean,wind_speed_10m_max,wind_speed_10m_mean,wind_direction_10m_dominant,relative_humidity_2m_mean', + 'timezone': 'auto' + } +response = requests.get(url, params=params) +data = response.json() +print(data) +``` + +We can also get the building information as polygons. For this information, we can use the overpass API (). We can grab all buildings within a certain radius from our given latitude and longitude. The core of the program is: +```python +overpass_url = "https://overpass-api.de/api/interpreter" + overpass_query = f""" + [out:json][timeout:60]; + ( + way["building"](around:{radius_meters},{latitude},{longitude}); + relation["building"](around:{radius_meters},{latitude},{longitude}); + way["building:part"](around:{radius_meters},{latitude},{longitude}); + relation["building:part"](around:{radius_meters},{latitude},{longitude}); + ); + out geom; + """ +``` +This information can then be saved as polygon data to a file. The information that we retrieved is visualized in Figure 2: + +![Building information](../../../tutorials_files/incompressible_flow/Inc_Urban_City/images/amsterdam_buildings.png) + +Figure 2: Visualization of the building information that was retrieved. The polygon data was saved as a pickle file for further processing. + +We found 1615 buildings in this region. +With this polygon information, we can build a 2D CFD mesh, but the first step towards that goal is to merge all the connecting and overlapping buildings. For buildings that are not touching but are separated by a very small distance, we use the dilate-erode method. First, let buildings that are very close grow in size, then compute the new contours of the merged shapes, then erode the shapes again to go back to their original size. We also remove any contours with small surface areas. We are then left with only 125 buildings, a huge reduction! + +We can further smooth the shapes by using dilation-erosion, and also by using the Douglas-Peucker method to simplify polygons and reduce node and edge count. After this procedure we went from 10730 vertices to 2374 . We also remove all buildings with an are smaller than 25 square meters. We are now left with 115 buildings and 2209 edges. + + +### Mesh Description + +The final step in creating this setup is to give all polygons to gmsh and create the mesh. We use a triangulated mesh with a quadrilateral inflation layer around the buildings. The final mesh is 786k cells. + + +Figure 3: Gmsh mesh and zoom of the mesh around the royal palace showing the inflation layers. + +Note that the mesh is very coarse close to the wall and needs to be refined for more accurate results. For resolved boundary layers the dimensionless wall cell size needs to be $y^{+} < 1$. +We have also made some simplifications in the geometry and physics. Note that cutting to a circular shape means that at the edges the results are inaccurate because we are missing the effect of buildings outside of the circular area. Also note that assuming a 2D planar scenario is not accurate. We do not take into account the different heights of the buildings and we also do not take into account that the wind blows over the entire city and has a downward component as well. So although this simulation will not accurately represent the wind velocity through the streets in a quantitative way, at least qualitatively they give an impression of the accelerating wind speeds through the streets of the city center. + + +### Configuration File Options + +The setup itself is a standard setup. The main input is the velocity: +``` +% wind speed on 01-01-2026 at 12:00 in Amsterdam (262 degrees 6.81 m/s) +INC_VELOCITY_INIT = (6.74, 0.95, 0.0 ) +``` + +And we need to define the boundaries. We only have a far-field and the walls of the building: +``` +MARKER_FAR= farfield +MARKER_HEATFLUX= wall_buildings +``` + + +### Running SU2 + +If possible, always use a parallel setup to reduce computational time (wall clock time). Run the SU2_CFD executable in parallel using MPI and 4 nodes by entering: + + $ mpirun -n 4 SU2_CFD amsterdam.cfg + + + + +### Results + +![urban_city](../../../tutorials_files/incompressible_flow/Inc_Urban_City/images/wind_velocity_zoom.png) + +Figure (4): Zoom of the flow through the streets of the city center of amsterdam. + +The zoom of the wind velocity in Figure 4 shows the wind around the royal palace on the 'dam' with the national monument for war victims on the right. It is clear that walking through the 'paleisstraat' into the main square would have been very uncomfortable. + + +### Fire! + +What if there was a fire on the main square? How would the smoke be transported by the wind through the streets of Amsterdam? This can be simulated very easily by adding a species source term using the python wrapper. We will use a simple circular constant source of smoke and add it to the species transport equation. +```python +# ################################################################## # +# Source term for smoke/fire # +# ################################################################## # +def smoke(SU2Driver, iPoint, nDim): + + allCoords = SU2Driver.Coordinates() + coord = allCoords.Get(iPoint) + x = coord[0] + y = coord[1] + R = np.sqrt(x*x + y*y) + # source size: R = 5 m, source term located at center (0,0) + if (R < 5.0): + # source is kg.m^-3.s^-1 + Sc = 0.1 + else: + Sc = 0.0 + return Sc + +``` + +This source term was added to a standard python wrapper script, the configuration file was left unchanged, except for the addition of the keyword +```bash +PYTHON_CUSTOM_SOURCE= YES +``` +to activate the custom source term. + +![urban_city](../../../tutorials_files/incompressible_flow/Inc_Urban_City/images/fire_zoom.png) + +Figure (5): Zoom of the 'Dam' square in front of the royal palace. + +Figure 5 clearly shows that the smoke blows into the 'Damrak' street. + + diff --git a/_tutorials/index.md b/_tutorials/index.md index 27f3d537..a8b5c9ec 100644 --- a/_tutorials/index.md +++ b/_tutorials/index.md @@ -77,6 +77,8 @@ Simulation of internal, turbulent, 3D incompressible flow through a Kenics stati Simulation of unsteady laminar vortex shedding behind a circular cylinder. * [Turbulent Bend](/tutorials/Inc_Turbulent_Bend/) Simulation of turbulent flow in a 90 degree pipe bend using wall functions. +* [Urban City](/tutorials/Inc_Urban_City/) +Simulation of wind velocity and smoke through the city center of Amsterdam. #### Structural Mechanics diff --git a/tutorials_files/incompressible_flow/Inc_Urban_City/images/amsterdam_buildings.png b/tutorials_files/incompressible_flow/Inc_Urban_City/images/amsterdam_buildings.png new file mode 100644 index 0000000000000000000000000000000000000000..db358a84b80073147a6a0480ca59d76974404b75 GIT binary patch literal 824188 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