From b9e1881d3b7f21876dd6897620611502ee8155a7 Mon Sep 17 00:00:00 2001 From: Pedro Gomes Date: Thu, 26 May 2022 21:29:33 +0100 Subject: [PATCH 1/5] start swbli v&v case --- _vandv/swbli.md | 94 +++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 94 insertions(+) create mode 100644 _vandv/swbli.md diff --git a/_vandv/swbli.md b/_vandv/swbli.md new file mode 100644 index 00000000..a02fc5a1 --- /dev/null +++ b/_vandv/swbli.md @@ -0,0 +1,94 @@ +--- +title: Shock-Wave Boundary-Layer Interaction +permalink: /vandv/swbli/ +--- + +| Solver | Version | Author | +| --- | --- | --- | +| `RANS` | 7.4.0 | P. Gomes | + +The details of the Mach 5 SWBLI validation case are taken from [NASA](https://www.grc.nasa.gov/www/wind/valid/m5swbli/m5swbli.html). + +

+Mach number contours (SST-2003m) +

+**Figure 1** - Mach number contours (SST-2003m). + +We validate our implementation of the SA and SST models by comparing the SU2 numerical results on a sequence of grids against experimental results. + +## Problem Setup + +The geometry and flow conditions are according to the [main reference](https://www.grc.nasa.gov/www/wind/valid/m5swbli/m5swbli.html). +The SU2 configuration files used in this study are [available here](https://github.com/su2code/SU2/blob/develop/TestCases/vandv/rans/swbli/). +Mean flow convective fluxes were computed with Roe's scheme and a limited MUSCL reconstruction (Green-Gauss gradients and Venkatakrishnan's limiter). +The SA-neg and SST-2003m turbulence models were used with first order advection. +SU2 was run with "freestream equal Mach" non-dimensionalization for all configurations. + +## Mesh Description + +Quad-dominant meshes of increasing density were used to perform a grid convergence study. +The meshes were generated using GMSH by defining a refinement factor for all sizes and counts. +Particular attention was given to the y+ on the bottom plate (smaller than 1 on the coarsest level), the main shock, and the separation region. +The GMSH script can be downloaded from the [SU2 V&V GitHub repository](https://github.com/su2code/VandV/tree/master/rans/swbli). +The mesh designations and approximate sizes are: + +- L1 "coarse" (2 x "fine") - 37k quadrilaterals +- L2 "medium" (1.41 x "fine") - 76k quadrilaterals +- L3 "fine" - 146k quadrilaterals + +## Results + +Given the focus of this validation case (interaction between a shock and a boundary layer) it is of particular interest to analyze how well CFD predicts the + +### Grid convergence + +The main configuration studied here is the Roe scheme, with MUSCL reconstruction using Green-Gauss gradients, and limited using the van Albada edge-based limiter. +The only possible tunning parameter of this configuration is the entropy fix coefficient, which was fixed at 1e-5. +We compare this configuration with the JST scheme on three grid levels (with 2nd and 4th order coefficient values of 0.5 and 0.01, respectively). +For completeness, we also test the effect of the limiter on the "fine" level by using the Venkatakrishnan limiter with coefficient 0.05. + +We observe second order convergence of the lift and drag coefficients, and good agreement between Roe + van Albada, JST, [FaSTAR results](https://jaxa.repo.nii.ac.jp/?action=pages_view_main&active_action=repository_view_main_item_detail&item_id=2921&item_no=1&page_id=13&block_id=21), and [Cflow results](https://jaxa.repo.nii.ac.jp/?action=pages_view_main&active_action=repository_view_main_item_detail&item_id=2923&item_no=1&page_id=13&block_id=21). +The Roe + Venkatakrishnan configuration predicts lower values, which were observed to be sensitive to the limiter coefficient. For example lowering it to 0.025 increases drag to the level obtained with the other two configurations. + +

+Drag coefficient at 5.5deg AoA +

+**Figure 2** - Drag coefficient at 5.5deg AoA. + +

+Lift coefficient at 5.5deg AoA +

+**Figure 3** - Lift coefficient at 5.5deg AoA. + +### Maximum lift + +Roe + van Albada and JST agree well on the maximum lift, and again match the results of other codes. +However JST predicts the flow to remain attached at significantly higher angle-of-attack than expected. + +

+Lift coefficient on the fine grid level +

+**Figure 4** - Lift coefficient on the fine grid level. + +

+Drag coefficient on the fine grid level +

+**Figure 5** - Drag coefficient on the fine grid level. + +### Discussion + +The pressure coefficient distributions at 5.5 degrees AoA computed by Roe + van Albada and JST are nearly identical. +However, JST predicts significantly higher skin friction coefficient (Cf) on the suction side which explains the higher angle-of-attack required for leading-edge separation to occur. +Away from this critical point the lift and drag characteristics are dominated by the pressure distribution and thus the two schemes agree well. +The only significant differences in Cf between the van Albada and Venkatakrishnan limiters are at the trailing-edges. + +

+Pressure coefficient distribution at 5.5deg AoA on fine grid level +

+**Figure 6** - Pressure coefficient distribution at 5.5deg AoA on fine grid level. + +

+Skin friction coefficient distribution at 5.5deg AoA on fine grid level +

+**Figure 7** - Skin friction coefficient distribution at 5.5deg AoA on fine grid level. + From aee5d97c5b3301767d2a155d0d3ddc7718d3528c Mon Sep 17 00:00:00 2001 From: Pedro Gomes Date: Mon, 30 May 2022 23:48:23 +0100 Subject: [PATCH 2/5] add pics --- _vandv/index.md | 2 ++ _vandv/swbli.md | 66 +++++++------------------------------ vandv_files/swbli/cf.png | Bin 0 -> 106757 bytes vandv_files/swbli/mach.png | Bin 0 -> 54176 bytes 4 files changed, 13 insertions(+), 55 deletions(-) create mode 100644 vandv_files/swbli/cf.png create mode 100644 vandv_files/swbli/mach.png diff --git a/_vandv/index.md b/_vandv/index.md index a4c82d71..46c0705e 100644 --- a/_vandv/index.md +++ b/_vandv/index.md @@ -27,3 +27,5 @@ Code-to-code comparisons of drag and skin friction on a turbulent flat plate is Code-to-code comparisons for a bump in a channel, which results in pressure gradients, is presented using data from the NASA Turbulence Modeling Resource. * [Three-Element High-Lift Subsonic Airfoil](/vandv/30p30n/) Results for the 30p30n airfoil, mesh independence study at low angle-of-attack, and determination of maximum lift, both comparing different numerical schemes. +* [Shock-Wave Boundary-Layer Interaction](/vandv/swbli/) +Comparison of grid-converged results with experimental data. SA and SST turbulence models. diff --git a/_vandv/swbli.md b/_vandv/swbli.md index a02fc5a1..46175017 100644 --- a/_vandv/swbli.md +++ b/_vandv/swbli.md @@ -7,7 +7,7 @@ permalink: /vandv/swbli/ | --- | --- | --- | | `RANS` | 7.4.0 | P. Gomes | -The details of the Mach 5 SWBLI validation case are taken from [NASA](https://www.grc.nasa.gov/www/wind/valid/m5swbli/m5swbli.html). +The details of the Mach 5 SWBLI validation case are taken from the [NPARC Alliance Validation Archive](https://www.grc.nasa.gov/www/wind/valid/m5swbli/m5swbli.html).

Mach number contours (SST-2003m) @@ -18,8 +18,9 @@ We validate our implementation of the SA and SST models by comparing the SU2 num ## Problem Setup -The geometry and flow conditions are according to the [main reference](https://www.grc.nasa.gov/www/wind/valid/m5swbli/m5swbli.html). +The main geometry features and flow conditions are according to the [main reference](https://www.grc.nasa.gov/www/wind/valid/m5swbli/m5swbli.html). In this study, the inlet was extended 10mm to avoid the intersection of the supersonic inlet with a no-slip wall (that extension is modelled with a slip wall). The SU2 configuration files used in this study are [available here](https://github.com/su2code/SU2/blob/develop/TestCases/vandv/rans/swbli/). +These are applicable to all grid levels, however note that simulations on finer grids were restarted from the results on the previous (coarser) level. Mean flow convective fluxes were computed with Roe's scheme and a limited MUSCL reconstruction (Green-Gauss gradients and Venkatakrishnan's limiter). The SA-neg and SST-2003m turbulence models were used with first order advection. SU2 was run with "freestream equal Mach" non-dimensionalization for all configurations. @@ -27,10 +28,10 @@ SU2 was run with "freestream equal Mach" non-dimensionalization for all configur ## Mesh Description Quad-dominant meshes of increasing density were used to perform a grid convergence study. -The meshes were generated using GMSH by defining a refinement factor for all sizes and counts. +The meshes were generated using GMSH where a refinement factor was applied for all sizes and counts. Particular attention was given to the y+ on the bottom plate (smaller than 1 on the coarsest level), the main shock, and the separation region. The GMSH script can be downloaded from the [SU2 V&V GitHub repository](https://github.com/su2code/VandV/tree/master/rans/swbli). -The mesh designations and approximate sizes are: +The mesh designations and approximate sizes are: - L1 "coarse" (2 x "fine") - 37k quadrilaterals - L2 "medium" (1.41 x "fine") - 76k quadrilaterals @@ -38,57 +39,12 @@ The mesh designations and approximate sizes are: ## Results -Given the focus of this validation case (interaction between a shock and a boundary layer) it is of particular interest to analyze how well CFD predicts the +Given the focus of this validation case (interaction between a shock wave and a boundary layer) it is of particular interest to analyze how well CFD predicts the skin friction coefficient on the bottom plate and the separation (caused by the shock wave) and re-attachment locations. +Figure 2 compares the skin friction coefficient for the two turbulence models and three mesh levels used, with the experimental values. -### Grid convergence - -The main configuration studied here is the Roe scheme, with MUSCL reconstruction using Green-Gauss gradients, and limited using the van Albada edge-based limiter. -The only possible tunning parameter of this configuration is the entropy fix coefficient, which was fixed at 1e-5. -We compare this configuration with the JST scheme on three grid levels (with 2nd and 4th order coefficient values of 0.5 and 0.01, respectively). -For completeness, we also test the effect of the limiter on the "fine" level by using the Venkatakrishnan limiter with coefficient 0.05. - -We observe second order convergence of the lift and drag coefficients, and good agreement between Roe + van Albada, JST, [FaSTAR results](https://jaxa.repo.nii.ac.jp/?action=pages_view_main&active_action=repository_view_main_item_detail&item_id=2921&item_no=1&page_id=13&block_id=21), and [Cflow results](https://jaxa.repo.nii.ac.jp/?action=pages_view_main&active_action=repository_view_main_item_detail&item_id=2923&item_no=1&page_id=13&block_id=21). -The Roe + Venkatakrishnan configuration predicts lower values, which were observed to be sensitive to the limiter coefficient. For example lowering it to 0.025 increases drag to the level obtained with the other two configurations. - -

-Drag coefficient at 5.5deg AoA -

-**Figure 2** - Drag coefficient at 5.5deg AoA. - -

-Lift coefficient at 5.5deg AoA -

-**Figure 3** - Lift coefficient at 5.5deg AoA. - -### Maximum lift - -Roe + van Albada and JST agree well on the maximum lift, and again match the results of other codes. -However JST predicts the flow to remain attached at significantly higher angle-of-attack than expected. - -

-Lift coefficient on the fine grid level -

-**Figure 4** - Lift coefficient on the fine grid level. - -

-Drag coefficient on the fine grid level -

-**Figure 5** - Drag coefficient on the fine grid level. - -### Discussion - -The pressure coefficient distributions at 5.5 degrees AoA computed by Roe + van Albada and JST are nearly identical. -However, JST predicts significantly higher skin friction coefficient (Cf) on the suction side which explains the higher angle-of-attack required for leading-edge separation to occur. -Away from this critical point the lift and drag characteristics are dominated by the pressure distribution and thus the two schemes agree well. -The only significant differences in Cf between the van Albada and Venkatakrishnan limiters are at the trailing-edges. - -

-Pressure coefficient distribution at 5.5deg AoA on fine grid level -

-**Figure 6** - Pressure coefficient distribution at 5.5deg AoA on fine grid level. - -

-Skin friction coefficient distribution at 5.5deg AoA on fine grid level +

+Comparison of skin friction coefficient.

-**Figure 7** - Skin friction coefficient distribution at 5.5deg AoA on fine grid level. +**Figure 2** - Comparison of skin friction coefficient. +The results do not change significantly between meshes L2 and L3, they were also not sensitive to other perturbations such as refining the mesh around the main shock, or global refinement (i.e. L4). diff --git a/vandv_files/swbli/cf.png b/vandv_files/swbli/cf.png new file mode 100644 index 0000000000000000000000000000000000000000..2ad266a6db1893ff9a38138bb65c75143a7707c6 GIT binary patch literal 106757 zcmd432T)X9w=HTwNs<*%lAz=y3X(yPBvGKDMUoN)ghq01B_mmAa*&)G1<6T3a?VM* zL2}MHz18^r=bZnY`)ej8-MOnKxvU{(!*BWz-G3VR?FO_8p@b2MVxpIZzg`AYy zl`A)_u3WkP0_PeyL&p91?8=qD(V5 zCw}d3pUCM6H8ka}Onj%2l%ap~tX7r0(!$OIo)DWf5FNX8w{5%p?CiF5TfugV#T;I_cWGiQqP?@@iY{NDrV`-r~>pP#W^y*#@834$5Ll`AaQaqBl%jkyNi9e>tE{X z|1<>>h$|^6ImFwq3_DX*Z#7ftFkIfl;w{!WNG+<~3%js#Id`TdR3Cn}mwfVjfsk6@ zn{h`}TwEMf-+gbjxQEL!+LJ)f<7kdZ?C_a*X5@B=@cOHA>*)|0;lU{Qp&$HkC;7td 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zhraVjmkcEC#^(KUb#HLHeu+JlSa$HiDg+!^s#FcWzN+tn@WCX>a*%x;)d#f zie?Mg9ZTi6SD4J)a84T=il7&jb99Kw&I-RMc}Q0aFZTR7yQu#q zBpUm(zku9-2D<$p+Uyc>U*AV{%2qN4_H*=Nu=>`!q^4T7?Gv=Een9dRaXFWyb9zwN zr<>LPhhzkBlvR*pfyrF)8zJbktVx_~Ea7Z8nG(sY2M#=yxeb}WluZ;cFGk|#pFWqY Tt$sm-X35>#_kEwWjdK29iqa{5 literal 0 HcmV?d00001 From bfe0146ee38287a784f257221bb962d77ac9f40b Mon Sep 17 00:00:00 2001 From: Pedro Gomes Date: Fri, 3 Jun 2022 21:22:24 +0100 Subject: [PATCH 3/5] update fig and finalize text --- _vandv/swbli.md | 5 ++++- vandv_files/swbli/mach.png | Bin 54176 -> 55461 bytes 2 files changed, 4 insertions(+), 1 deletion(-) diff --git a/_vandv/swbli.md b/_vandv/swbli.md index 46175017..63a4f2cf 100644 --- a/_vandv/swbli.md +++ b/_vandv/swbli.md @@ -47,4 +47,7 @@ Figure 2 compares the skin friction coefficient for the two turbulence models an

**Figure 2** - Comparison of skin friction coefficient. -The results do not change significantly between meshes L2 and L3, they were also not sensitive to other perturbations such as refining the mesh around the main shock, or global refinement (i.e. L4). +The results do not change significantly between meshes L2 and L3, they were also not sensitive to other perturbations such as refining the mesh around the main shock, or global refinement (i.e. what would be an L4 mesh). The results for these other tests are omitted for simplicity. +Both turbulence models predict that separation takes place (negative skin friction) the start of the separation region is better predicted with SST and it is close to the experiment. However, both models underestimate the re-attachment location. +These results with SU2 are further from the experiment than the numerical results presented in the [main reference](https://www.grc.nasa.gov/www/wind/valid/m5swbli/m5swbli.html). +This is likely due to compressibility effects not being included in SA and SST-2003m. 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zSwdWXNE6Pb5KEBKW~w4(b@gyp6uY@3(y4N&7*fLqos%g~Bo!iZ56aa)+1$5L$%*Qj z8+!Jt+X;5czy*eHNkGN5=$@8SQqTFaRd>eSchS)X_Pm=anHFImJ}PNNu>(_bto1(@ zhraVjmkcEC#^(KUb#HLHeu+JlSa$HiDg+!^s#FcWzN+tn@WCX>a*%x;)d#f zie?Mg9ZTi6SD4J)a84T=il7&jb99Kw&I-RMc}Q0aFZTR7yQu#q zBpUm(zku9-2D<$p+Uyc>U*AV{%2qN4_H*=Nu=>`!q^4T7?Gv=Een9dRaXFWyb9zwN zr<>LPhhzkBlvR*pfyrF)8zJbktVx_~Ea7Z8nG(sY2M#=yxeb}WluZ;cFGk|#pFWqY Tt$sm-X35>#_kEwWjdK29iqa{5 From 4c60747cb7af88804270445dd6c0d101ff19251a Mon Sep 17 00:00:00 2001 From: Pedro Gomes Date: Fri, 3 Jun 2022 21:30:14 +0100 Subject: [PATCH 4/5] missing reference --- _data/vandv.yml | 1 + 1 file changed, 1 insertion(+) diff --git a/_data/vandv.yml b/_data/vandv.yml index cd7f2806..824a67e3 100644 --- a/_data/vandv.yml +++ b/_data/vandv.yml @@ -9,3 +9,4 @@ - Flat_Plate - Bump_Channel - 30p30n + - swbli From 899b8aba05243c36631cbd01982a570ff0e322fc Mon Sep 17 00:00:00 2001 From: Pedro Gomes Date: Sat, 4 Jun 2022 14:31:06 +0100 Subject: [PATCH 5/5] add SA-neg-comp results --- _vandv/swbli.md | 16 +++++++++++++--- vandv_files/swbli/cf_comp.png | Bin 0 -> 86330 bytes 2 files changed, 13 insertions(+), 3 deletions(-) create mode 100644 vandv_files/swbli/cf_comp.png diff --git a/_vandv/swbli.md b/_vandv/swbli.md index 63a4f2cf..bfd3e81d 100644 --- a/_vandv/swbli.md +++ b/_vandv/swbli.md @@ -48,6 +48,16 @@ Figure 2 compares the skin friction coefficient for the two turbulence models an **Figure 2** - Comparison of skin friction coefficient. The results do not change significantly between meshes L2 and L3, they were also not sensitive to other perturbations such as refining the mesh around the main shock, or global refinement (i.e. what would be an L4 mesh). The results for these other tests are omitted for simplicity. -Both turbulence models predict that separation takes place (negative skin friction) the start of the separation region is better predicted with SST and it is close to the experiment. However, both models underestimate the re-attachment location. -These results with SU2 are further from the experiment than the numerical results presented in the [main reference](https://www.grc.nasa.gov/www/wind/valid/m5swbli/m5swbli.html). -This is likely due to compressibility effects not being included in SA and SST-2003m. This V&V case will be re-run with SST-2003 once it is implemented. + +Both turbulence models predict that separation takes place (negative skin friction). The start of the separation region is better predicted with SST and it is close to the experiment. However, both models underestimate the re-attachment location. + +These results with SU2 are further from the experiment than the numerical results presented in the [main reference](https://www.grc.nasa.gov/www/wind/valid/m5swbli/m5swbli.html), which is likely due to compressibility effects not being included in the SA and SST-2003m models. +This hypothesis was tested by including the SA mixing-layer compressibility correction, i.e. using SA-neg-comp (by adding `COMPRESSIBILITY` to `SA_OPTIONS`). +Figure 3 compares the results obtained with this model on meshes L2 and L3 with the experimental results, the SA-neg results on the L3 mesh are also shown for reference. +With compressibility effects the size of the separation region is closer to the experiment. +This V&V case will be updated with results from the SST-2003 (not modified) model once it is implemented. + +

+Skin friction coefficient with SA compressibility correction. +

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