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LM_VandV (T3A)
LM model Validation Result
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_vandv/LM_transition.md

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---
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title: Langtry and Menter transition model
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permalink: /vandv/LM_transition/
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---
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| Solver | Version | Author |
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| --- | --- | --- |
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| `RANS` | 7.4.0 | S. Kang |
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The details of the Langtry and Menter(LM) transition model validation cases are taken from the [AIAA Transition modeling workshop-I](https://transitionmodeling.larc.nasa.gov).
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To validate the LM model, the simulation results of SU2 are compared with the results of Fluent19.0 with a similar numerical setting.
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## Problem Setup
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Flow conditions are the reference from : https://doi.org/10.2514/6.2022-3679 and [AIAA Transition modeling workshop-I](https://transitionmodeling.larc.nasa.gov).
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| Case | T3A | T3B | T3Am | NLF0416|
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| --- | --- | --- | --- | --- |
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|Inlet Velocity (m/s)| 69.44 | 69.44 | 19.8 | 34.72 |
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| --- | --- | --- | --- | --- |
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|Density (kg/m^3) | 0.053 | 0.053 | 1.2 | 2.13 |
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| --- | --- | --- | --- | --- |
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|Viscosity (kg/ms) | 1.85E-5 | 1.85E-5 | 1.79E-5 | Sutherland's Law |
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| --- | --- | --- | --- | --- |
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|Freestream Temperature (K) | 300 | 300 | 300 | 300 |
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| --- | --- | --- | --- | --- |
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|Unit Reynolds number (1/m) | 2.0E5 | 2.0E5 | 1.328E6 | 4.0E6 |
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| --- | --- | --- | --- | --- |
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|Mach Number | 0.2 | 0.2 | 0.058 | 0.1 |
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| --- | --- | --- | --- | --- |
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|AoA | 0.0 | 0.0 | 0.0 | 0.0 |
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| --- | --- | --- | --- | --- |
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|Viscosity Ratio| 11.9 | 99.0 | 9.0 | 1.0 |
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| --- | --- | --- | --- | --- |
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|Freestream Turbulence Intensity (%) | 5.855 | 7.216 | 1.0 | 0.15 |
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## Mesh Description
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The grids of T3A, T3B, and NLF cases are provided by [TMW](https://transitionmodeling.larc.nasa.gov/workshop_i/)(Transition Model Workshop). And, The grid of T3Am was made with reference to https://doi.org/10.2514/6.2022-3679.
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If you would like to run the above cases for yourself, you can use only the fine level grid files available in the [SU2 V&V repository]https://github.com/su2code/VandV/tree/master/rans/flatplate).
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## Numerical Scheme
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| | Fluent | SU2 |
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| Flux | Roe-FDS | L2ROE |
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| --- | --- | --- |
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| Gradient | Least Squares Cell Based | WEIGHTED_LEAST_SQUARES |
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| --- | --- | --- |
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| Spatial Discretization Flow | Third-order MUSCL | MUSCL_FLOW |
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| --- | --- | --- |
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| Spatial Discretization Turbulence | Third-order MUSCL | MUSCL_YES |
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| --- | --- | --- |
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## Results
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Present results of all grid resolutions and then plot the results of the fine-level grid separately. If you want to see other results of the gird level, you can see them at "vandv_files/LMmodel".
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### T3A
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The experiment data from [here]http://web.tecnico.ulisboa.pt/ist12278/Workshop_AVT_313_2D_cases/html_files/Flat_Plate.htm
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C : Coarse
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M : Medium
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F : Fine
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X : Extra fine
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<p align="center">
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<img src="/vandv_files/LM_model/T3A/All_Cf.png" alt="All result comparsion of Cf distribution on T3A" />
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<img src="/vandv_files/LM_model/T3A/Fine_Cf.png" alt="Fine level result comparsion of Cf distribution on T3A" />
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### T3B
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### T3Am
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### NLF0416
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