master

.github/workflows/publish_su2_validation.yml

@@ -182,7 +182,7 @@ jobs:
                 # Process images with their relative path
                 find "${dir}" -type f \( -iname "*.png" -o -iname "*.jpg" -o -iname "*.jpeg" \) | sort | while read -r img; do
                   # Calculate relative path
-                  rel_path="../${img#*/vandv_files/}"
+                  rel_path="/${img#*/vandv_files/}"
                   echo "<img src=\"${rel_path}\" alt=\"${folder_name} - $(basename "${img}")\" style=\"width:80%; display: block; margin: 0 auto;\">" >> "${OUTPUT_FILE}"
                   echo "" >> "${OUTPUT_FILE}"
                 done

_docs/Installation.md

@@ -22,7 +22,7 @@ In general, all SU2 execution occurs via command line arguments within a termina
 
 ### Data Visualization
 
-Users of SU2 need a data visualization tool to post-process solution files. The software currently supports .vtk and .plt output formats natively read by ParaView and Tecplot, respectively. ParaView provides full functionality for data visualization and is freely available under an open source license. Tecplot is a commercially-licensed software package widely used by the scientific computing community and is available for purchase. Some SU2 results are also output to comma-separated value (.csv) files, which can be read by a number of software packages. Furthermore, CGNS output files can also be generated, which can also be read by the majority of visualization programs. The two most typical packages used by the development team are the following:
+Users of SU2 need a data visualization tool to post-process solution files. The software currently supports .vtk and .plt output formats natively read by ParaView and Tecplot, respectively. ParaView provides full functionality for data visualization and is freely available under an open source license. Tecplot is a commercially-licensed software package widely used by the scientific computing community and is available for purchase. Some SU2 results are also output to comma-separated value (.csv) files, which can be read by a number of software packages. Furthermore, CGNS output files can also be generated, which can also be read by the majority of visualization programs. The three most typical packages used by the development team are the following:
 - ParaView
 - Tecplot
 - FieldView

_docs_v7/Theory.md

@@ -264,11 +264,12 @@ $$S$$ is a generic source term, and the convective and viscous fluxes are
 
 $$\bar{F}^{c}(V) = \left\{\begin{array}{c} \rho Y_1 \bar{v} \\ ... \\\rho Y_{N-1} \, \bar{v} \end{array} \right\}$$
 
-$$\bar{F}^{v}(V,\nabla V) = \left\{\begin{array}{c} D \nabla Y_{1} \\ ... \\  D \nabla Y_{N-1} \end{array} \right\} $$
+$$\bar{F}^{v}(V,\nabla V) = \left\{\begin{array}{c} \rho D \nabla Y_{1} \\ ... \\  \rho D \nabla Y_{N-1} \end{array} \right\} $$
 
 with $$D$$ $$[m^2/s]$$ being the mass diffusion. 
+For turbulence modeling, the diffusion coefficient becomes:
 
-$$D = D_{lam} + \frac{\mu_T}{Sc_{T}}$$
+$$\rho D = \rho D_{lam} + \frac{\mu_T}{Sc_{T}}$$
 
 where $$\mu_T$$ is the eddy viscosity and $$Sc_{T}$$ $$[-]$$ the turbulent Schmidt number.
 

_tutorials/incompressible_flow/Inc_Combustion/Inc_Combustion.md

@@ -48,7 +48,7 @@ The `CSpeciesSolver` object in SU2 solves the controlling variables and passive
 
 $$
 \begin{equation}
-    \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\mathcal{Y}\right) = \rho\dot{\omega}_\mathcal{Y}
+    \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\mathcal{Y}\right) = \dot{\omega}_\mathcal{Y}
 \end{equation}
 $$
 
@@ -60,15 +60,15 @@ $$
 
 $$
 \begin{equation}
-    \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \rho\dot{\omega}^+ + \rho\dot{\omega}^- Y_j
+    \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \dot{\omega}^+ + \dot{\omega}^- Y_j
 \end{equation}
 $$
 
 2. partially or non-premixed, no preferential diffusion:
 
 $$
 \begin{equation}
-    \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\mathcal{Y}\right) = \rho\dot{\omega}_\mathcal{Y}
+    \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\mathcal{Y}\right) = \dot{\omega}_\mathcal{Y}
 \end{equation}
 $$
 
@@ -80,21 +80,21 @@ $$
 
 $$
 \begin{equation}
-    \frac{\partial \rho Z}{\partial t} + \nabla\cdot(\rho\vec{u}Z) - \nabla\cdot\left(\rho D\nabla Z\right) = \rho\dot{\omega}_\mathcal{Y}
+    \frac{\partial \rho Z}{\partial t} + \nabla\cdot(\rho\vec{u}Z) - \nabla\cdot\left(\rho D\nabla Z\right) = \dot{\omega}_\mathcal{Y}
 \end{equation}
 $$
 
 $$
 \begin{equation}
-    \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \rho\dot{\omega}^+ + \rho\dot{\omega}^- Y_j
+    \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \dot{\omega}^+ + \dot{\omega}^- Y_j
 \end{equation}
 $$
 
 3. pre-mixed, partially pre-mixed, non-premixed, with preferential diffusion:
 
 $$
 \begin{equation}
-    \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\beta_\mathcal{Y}\right) = \rho\dot{\omega}_\mathcal{Y}
+    \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(\rho D\nabla\beta_\mathcal{Y}\right) = \dot{\omega}_\mathcal{Y}
 \end{equation}
 $$
 
@@ -112,7 +112,7 @@ $$
 
 $$
 \begin{equation}
-    \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \rho\dot{\omega}^+ + \rho\dot{\omega}^- Y_j
+    \frac{\partial \rho Y_j}{\partial t} + \nabla\cdot(\rho\vec{u}Y_j) - \nabla\cdot\left(\rho D\nabla Y_j\right) = \dot{\omega}^+ + \dot{\omega}^- Y_j
 \end{equation}
 $$
 
@@ -175,7 +175,7 @@ Pre-mixed combustion of reactants with high hydrogen content at lean conditions
 
 $$
 \begin{equation}
-    \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(D\nabla\beta_\mathcal{Y}\right) = \rho\dot{\omega}_\mathcal{Y}
+    \frac{\partial \rho \mathcal{Y}}{\partial t} + \nabla\cdot(\rho\vec{u}\mathcal{Y}) - \nabla\cdot\left(D\nabla\beta_\mathcal{Y}\right) = \dot{\omega}_\mathcal{Y}
 \end{equation}
 $$
 

_vandv/SANDIA_jet.md

@@ -8,9 +8,9 @@ permalink: /vandv/SANDIA_jet/
 | `INC_RANS` | 7.5.0 | Sem Bosmans |
 
 
-The details of the 2D Axisymmetric, Nonpremixed, Nonreacting, Variable Density, Turbulent Jet Flow are taken from [Sandia National Laboratories database](https://tnfworkshop.org/data-archives/simplejet/propanejet) $$^{1},^{2}$$.
+The details of the 2D Axisymmetric, Nonpremixed, Nonreacting, Variable Density, Turbulent Jet Flow are taken from [Sandia National Laboratories database](https://tnfworkshop.org/data-archives/simplejet/propanejet) <sup>[1](#ref1),[2](#ref2)</sup>.
 
-By comparing the results of SU2 simulations case against the experimental data, as well as OpenFOAM simulation results $$^{3}$$ (and MFSim $$^{4}$$), we can build a high degree of confidence that the composition-dependent model is implemented correctly in combination with the SST turbulence model. Therefore, the goal of this case is to validate the implementation of the  composition-dependent model in SU2.
+By comparing the results of SU2 simulations case against the experimental data, as well as OpenFOAM simulation results <sup>[3](#ref3)</sup> (and MFSim <sup>[4](#ref4)</sup>), we can build a high degree of confidence that the composition-dependent model is implemented correctly in combination with the SST turbulence model. Therefore, the goal of this case is to validate the implementation of the  composition-dependent model in SU2.
 
 ## Problem Setup
 The problem consists of a turbulent propane jet mixing into coflowing air. The schematic overview of this problem is given in the figure below:
@@ -19,7 +19,7 @@ The problem consists of a turbulent propane jet mixing into coflowing air. The s
 <img src="/vandv_files/SANDIA_jet/images/VV_SETUP.png" alt="Schematic overview of the problem setup" />
 </p>
 
-The flow conditions are based on the Sandia experiment $$^{1}$$:
+The flow conditions are based on the Sandia experiment <sup>[1](#ref1)</sup>:
 
 - Temperature = 294 [K]
 - Thermodynamic pressure = 101325 [Pa]
@@ -137,7 +137,7 @@ The comparisons in the figures demonstrate good agreement with the experimental
 <img src="/vandv_files/SANDIA_jet/images/YD0_rho.png" alt="Mean density along Jet Centerline" />
 </p>
 
-The experimental results for the mean density are given in Sandia’s database, but these are directly computed from the mixture fraction by making use of the ratio between the density of propane and air. The ratio that is being used for this purpose is 1.6 $$^{2}$$, whereas the expected ratio is lower. The higher density ratio used in the post-processing of the experimental data results in a wider density range across the domain, which can partly explain the differences between the experimental data and the numerical results on the density along the jet centerline. Note that the spreading rate of a jet is independent of the initial density ratio $$^{2}$$.
+The experimental results for the mean density are given in Sandia’s database, but these are directly computed from the mixture fraction by making use of the ratio between the density of propane and air. The ratio that is being used for this purpose is 1.6 <sup>[2](#ref2)</sup>, whereas the expected ratio is lower. The higher density ratio used in the post-processing of the experimental data results in a wider density range across the domain, which can partly explain the differences between the experimental data and the numerical results on the density along the jet centerline. Note that the spreading rate of a jet is independent of the initial density ratio <sup>[2](#ref2)</sup>.
 
 <p align="center">
 <img src="/vandv_files/SANDIA_jet/images/Residuals_convergence.png" alt="Residuals Convergence for the Turbulent Jet Mixing" />
@@ -146,10 +146,10 @@ The experimental results for the mean density are given in Sandia’s database,
 ---
 
 ### References
-$$^{1}$$ R.W. Schefer, "Data Base for a Turbulent, Nonpremixed, Nonreacting, Propane-Jet Flow", tech. rep., Sandia National Laboratories, Livermore, CA, 2001.
+<a id="ref1">[1]</a> R.W. Schefer, "Data Base for a Turbulent, Nonpremixed, Nonreacting, Propane-Jet Flow", tech. rep., Sandia National Laboratories, Livermore, CA, 2001.
 
-$$^{2}$$ R.W. Schefer, F.C. Gouldin, S.C. Johnson and W. Kollmann, "Nonreacting Turbulent Mixing Flows", tech. rep., Sandia National Laboratories, Livermore, CA, 1986.
+<a id="ref2">[2]</a> R.W. Schefer, F.C. Gouldin, S.C. Johnson and W. Kollmann, "Nonreacting Turbulent Mixing Flows", tech. rep., Sandia National Laboratories, Livermore, CA, 1986.
 
-$$^{3}$$ A. Aghajanpour and S. Khatibi, "Numerical Simulation of Velocity and Mixture Fraction Fiels in a Turbulent Non-reacting Propane Jet Flow Issuing into Parallel Co-Flowing Air in Isothermal Condition through OpenFOAM", 2023.
+<a id="ref3">[3]</a> A. Aghajanpour and S. Khatibi, "Numerical Simulation of Velocity and Mixture Fraction Fiels in a Turbulent Non-reacting Propane Jet Flow Issuing into Parallel Co-Flowing Air in Isothermal Condition through OpenFOAM", 2023.
 
-$$^{4}$$ V. Goncalves, G.M. Magalhaes and J.M. Vedovetto, "Urans Simulation of Turbulent Non-Premixed and Non-Reacting Propane Jet Flow", Associacao Brasileira de Engenharia e Ciencias Mecanicas - ABCM, 2021.
+<a id="ref4">[4]</a> V. Goncalves, G.M. Magalhaes and J.M. Vedovetto, "Urans Simulation of Turbulent Non-Premixed and Non-Reacting Propane Jet Flow", Associacao Brasileira de Engenharia e Ciencias Mecanicas - ABCM, 2021.