这只要不在里面，就是界面上面产生的相变，那就是相含率不为零的地方，相界面不平，首先一个原因是网格，另一个原因就是蒸发过程中不是瞬间变成小密度水蒸气，而是逐渐变小的。

但计算过程中会出现CFL数突然增大之后报错的问题Mean and max Courant Numbers = 0.0196702 0.2
deltaT = 1.34917e-09
Time = 1.381229231e-07

diagonal: Solving for rho, Initial residual = 0, Final residual = 0, No Iterations 0
DILUPBiCG: Solving for N2, Initial residual = 0.102714, Final residual = 8.31435e-10, No Iterations 11
DILUPBiCG: Solving for O2, Initial residual = 0.0998228, Final residual = 2.97854e-08, No Iterations 11
DILUPBiCG: Solving for NO, Initial residual = 0.00103043, Final residual = 4.54498e-07, No Iterations 11
DILUPBiCG: Solving for N2+, Initial residual = 0.157236, Final residual = 1.27729e-09, No Iterations 11
DILUPBiCG: Solving for O2+, Initial residual = 0.157241, Final residual = 1.44374e-09, No Iterations 11
DILUPBiCG: Solving for NO+, Initial residual = 0.157279, Final residual = 1.20494e-09, No Iterations 11
DILUPBiCG: Solving for N, Initial residual = 0.00643012, Final residual = 4.19377e-07, No Iterations 11
DILUPBiCG: Solving for O, Initial residual = 0.00193657, Final residual = 2.2919e-07, No Iterations 11
DILUPBiCG: Solving for N+, Initial residual = 0.157174, Final residual = 1.12526e-09, No Iterations 11
DILUPBiCG: Solving for O+, Initial residual = 0.156703, Final residual = 1.23372e-08, No Iterations 11
DILUPBiCG: Solving for e-, Initial residual = 0.0591289, Final residual = 2.85246e-15, No Iterations 5
diagonal: Solving for rhoUx, Initial residual = 0, Final residual = 0, No Iterations 0
diagonal: Solving for rhoUy, Initial residual = 0, Final residual = 0, No Iterations 0
diagonal: Solving for rhoUz, Initial residual = 0, Final residual = 0, No Iterations 0
smoothSolver: Solving for Ux, Initial residual = 5.41102e-05, Final residual = 5.24963e-09, No Iterations 120
smoothSolver: Solving for Uy, Initial residual = 0.00128686, Final residual = 1.27448e-07, No Iterations 160
smoothSolver: Solving for Uz, Initial residual = 0.000139985, Final residual = 1.28962e-08, No Iterations 70
diagonal: Solving for rhoEv, Initial residual = 0, Final residual = 0, No Iterations 0
diagonal: Solving for rhoE, Initial residual = 0, Final residual = 0, No Iterations 0
smoothSolver: Solving for hevel, Initial residual = 0.000257938, Final residual = 3.98118e-07, No Iterations 400
smoothSolver: Solving for e, Initial residual = 0.00686842, Final residual = 6.70799e-06, No Iterations 140
Attempt to use rho2ReactionThermo out of temperature range 139 times during this iteration.
 Thigh: 40000 < 640000
Phase no 1.0 ExecutionTime = 4.97 s ClockTime = 5 s Iteration no 112 (0.04 s)

Mean and max Courant Numbers = 0.0196515 0.552368
deltaT = 4.88502e-10
Time = 1.386114254e-07

diagonal: Solving for rho, Initial residual = 0, Final residual = 0, No Iterations 0
DILUPBiCG: Solving for N2, Initial residual = 0.0831271, Final residual = 4.94891e-09, No Iterations 11
DILUPBiCG: Solving for O2, Initial residual = 0.0830444, Final residual = 6.0302e-09, No Iterations 11
DILUPBiCG: Solving for NO, Initial residual = 0.0225179, Final residual = 4.10796e-07, No Iterations 11
DILUPBiCG: Solving for N2+, Initial residual = 0.070932, Final residual = 1.23497e-08, No Iterations 11
DILUPBiCG: Solving for O2+, Initial residual = 0.0707959, Final residual = 1.16027e-08, No Iterations 11
DILUPBiCG: Solving for NO+, Initial residual = 0.0712528, Final residual = 1.38649e-08, No Iterations 11
DILUPBiCG: Solving for N, Initial residual = 0.117227, Final residual = 8.58776e-08, No Iterations 11
DILUPBiCG: Solving for O, Initial residual = 0.209694, Final residual = 8.63459e-07, No Iterations 11
DILUPBiCG: Solving for N+, Initial residual = 0.240723, Final residual = 1.5458e-05, No Iterations 11
DILUPBiCG: Solving for O+, Initial residual = 0.0709349, Final residual = 3.14266e-08, No Iterations 11
DILUPBiCG: Solving for e-, Initial residual = 0.0330941, Final residual = 7.94061e-14, No Iterations 3
diagonal: Solving for rhoUx, Initial residual = 0, Final residual = 0, No Iterations 0
diagonal: Solving for rhoUy, Initial residual = 0, Final residual = 0, No Iterations 0
diagonal: Solving for rhoUz, Initial residual = 0, Final residual = 0, No Iterations 0
smoothSolver: Solving for Ux, Initial residual = 1.89119e-05, Final residual = 1.65027e-09, No Iterations 70
smoothSolver: Solving for Uy, Initial residual = 0.000264353, Final residual = 2.41377e-08, No Iterations 102
smoothSolver: Solving for Uz, Initial residual = 5.29899e-05, Final residual = 5.01779e-09, No Iterations 70
diagonal: Solving for rhoEv, Initial residual = 0, Final residual = 0, No Iterations 0
diagonal: Solving for rhoE, Initial residual = 0, Final residual = 0, No Iterations 0
smoothSolver: Solving for hevel, Initial residual = 0.278772, Final residual = 249.287, No Iterations 400
smoothSolver: Solving for e, Initial residual = 0.00510102, Final residual = 1.56626e+32, No Iterations 400
Attempt to use rho2ReactionThermo out of temperature range 3106 times during this iteration.
-2.31822e+10 < Tlow: 200
 Thigh: 40000 < 3.66402e+10
Phase no 1.0 ExecutionTime = 5.02 s ClockTime = 5 s Iteration no 113 (0.05 s)

[10] #0 Foam::error::printStack(Foam::Ostream&)[9] #0 Foam::error::printStack(Foam::Ostream&) at ??:?
at ??:?
[9] #1 Foam::sigFpe::sigHandler(int)[10] #1 Foam::sigFpe::sigHandler(int) at ??:?
[9] #2 ? at ??:?
[10] #2 ? in "/lib/x86_64-linux-gnu/libc.so.6"
[9] #3 Foam::sqrt(Foam::Field<double>&, Foam::UList<double> const&) in "/lib/x86_64-linux-gnu/libc.so.6"
[10] #3 Foam::sqrt(Foam::Field<double>&, Foam::UList<double> const&) at ??:?
[9] #4 Foam::tmp<Foam::GeometricField<double, Foam::fvPatchField, Foam::volMesh> > Foam::sqrt<Foam::fvPatchField, Foam::volMesh>(Foam::tmp<Foam::GeometricField<double, Foam::fvPatchField, Foam::volMesh> > const&) in "/home/sy/OpenFOAM/sy-v1706/platforms/linux64GccDPInt32Opt/bin/hy2Foam"
[9] #5 at ??:?
[10] #4 ?Foam::tmp<Foam::GeometricField<double, Foam::fvPatchField, Foam::volMesh> > Foam::sqrt<Foam::fvPatchField, Foam::volMesh>(Foam::tmp<Foam::GeometricField<double, Foam::fvPatchField, Foam::volMesh> > const&) in "/home/sy/OpenFOAM/sy-v1706/platforms/linux64GccDPInt32Opt/bin/hy2Foam"
[9] #6 in "/home/sy/OpenFOAM/sy-v1706/platforms/linux64GccDPInt32Opt/bin/hy2Foam"
[10] #5 ?? in "/home/sy/OpenFOAM/sy-v1706/platforms/linux64GccDPInt32Opt/bin/hy2Foam"
[9] #7 __libc_start_main in "/home/sy/OpenFOAM/sy-v1706/platforms/linux64GccDPInt32Opt/bin/hy2Foam"
[10] #6 in "/lib/x86_64-linux-gnu/libc.so.6"
[9] #8 ?? in "/home/sy/OpenFOAM/sy-v1706/platforms/linux64GccDPInt32Opt/bin/hy2Foam"
[10] #7 __libc_start_main in "/home/sy/OpenFOAM/sy-v1706/platforms/linux64GccDPInt32Opt/bin/hy2Foam"
[DESKTOP-N36BFE3:23240] *** Process received signal ***
[DESKTOP-N36BFE3:23240] Signal: Floating point exception (8)
[DESKTOP-N36BFE3:23240] Signal code: (-6)
[DESKTOP-N36BFE3:23240] Failing at address: 0x3e800005ac8
[DESKTOP-N36BFE3:23240] [ 0] /lib/x86_64-linux-gnu/libc.so.6(+0x43090)[0x7f49b1370090]
[DESKTOP-N36BFE3:23240] [ 1] /lib/x86_64-linux-gnu/libc.so.6(gsignal+0xcb)[0x7f49b137000b]
[DESKTOP-N36BFE3:23240] [ 2] in "/lib/x86_64-linux-gnu/libc./lib/x86_64-linux-gnu/libc.so.6(+0x43090)[0x7f49b1370090]
[DESKTOP-N36BFE3:23240] [ 3] so.6"
[10] #8 /home/sy/OpenFOAM/OpenFOAM-v1706/platforms/linux64GccDPInt32Opt/lib/libOpenFOAM.so(_ZN4Foam4sqrtERNS_5FieldIdEERKNS_5UListIdEE+0x3a)[0x7f49b1f24b7a]
[DESKTOP-N36BFE3:23240] [ 4] hy2Foam(ZN4Foam4sqrtINS_12fvPatchFieldENS_7volMeshEEENS_3tmpINS_14GeometricFieldIdT_T0_EEEERKS8+0x174)[0x55dafcc83f74]
[DESKTOP-N36BFE3:23240] [ 5] hy2Foam(+0x3fed5)[0x55dafcc10ed5]
[DESKTOP-N36BFE3:23240] [ 6] hy2Foam(+0x3464c)[0x55dafcc0564c]
[DESKTOP-N36BFE3:23240] [ 7] /lib/x86_64-linux-gnu/libc.so.6(__libc_start_main+0xf3)[0x7f49b1351083]
[DESKTOP-N36BFE3:23240] [ 8] hy2Foam(+0x35f1e)[0x55dafcc06f1e]
[DESKTOP-N36BFE3:23240] *** End of error message ***
? in "/home/sy/OpenFOAM/sy-v1706/platforms/linux64GccDPInt32Opt/bin/hy2Foam"
[DESKTOP-N36BFE3:23241] *** Process received signal ***
[DESKTOP-N36BFE3:23241] Signal: Floating point exception (8)
[DESKTOP-N36BFE3:23241] Signal code: (-6)
[DESKTOP-N36BFE3:23241] Failing at address: 0x3e800005ac9
[DESKTOP-N36BFE3:23241] [ 0] /lib/x86_64-linux-gnu/libc.so.6(+0x43090)[0x7fb8d8d28090]
[DESKTOP-N36BFE3:23241] [ 1] /lib/x86_64-linux-gnu/libc.so.6(gsignal+0xcb)[0x7fb8d8d2800b]
[DESKTOP-N36BFE3:23241] [ 2] /lib/x86_64-linux-gnu/libc.so.6(+0x43090)[0x7fb8d8d28090]
[DESKTOP-N36BFE3:23241] [ 3] /home/sy/OpenFOAM/OpenFOAM-v1706/platforms/linux64GccDPInt32Opt/lib/libOpenFOAM.so(_ZN4Foam4sqrtERNS_5FieldIdEERKNS_5UListIdEE+0x3a)[0x7fb8d98dcb7a]
[DESKTOP-N36BFE3:23241] [ 4] hy2Foam(ZN4Foam4sqrtINS_12fvPatchFieldENS_7volMeshEEENS_3tmpINS_14GeometricFieldIdT_T0_EEEERKS8+0x174)[0x55f634616f74]
[DESKTOP-N36BFE3:23241] [ 5] hy2Foam(+0x3fed5)[0x55f6345a3ed5]
[DESKTOP-N36BFE3:23241] [ 6] hy2Foam(+0x3464c)[0x55f63459864c]
[DESKTOP-N36BFE3:23241] [ 7] /lib/x86_64-linux-gnu/libc.so.6(__libc_start_main+0xf3)[0x7fb8d8d09083]
[DESKTOP-N36BFE3:23241] [ 8] hy2Foam(+0x35f1e)[0x55f634599f1e]
[DESKTOP-N36BFE3:23241] *** End of error message *** Primary job terminated normally, but 1 process returned
a non-zero exit code. Per user-direction, the job has been aborted. mpirun noticed that process rank 9 with PID 0 on node DESKTOP-N36BFE3 exited on signal 8 (Floating point exception).

b200479f-f2af-4ef8-8edc-593b74a77d62-image.png 目前针对幂律流体唯一一个RANS湍流模型是16年的一个论文根据v2f模型开发的一个模型，openfoam里边带v2f模型，可以参考着改，但是phasecompressible文件夹下没有。对比了一下多相和单相的kepsilon模型，多了不少代码，而且针对多相的参考的文章也是针对多相开发的kepsilon而不是原始的kepsilon方程，想问一下如果想把这个方程应用到幂律流体内的气泡流是不是没啥戏了

1、controlDict中添加如下代码：

functions { Qdot { libs ("libcombustionModels.so"); type Qdot; executeControl writeTime; writeControl writeTime; } }

2、后处理：
postProcess命令

@ansel 你要是搁心里翻译成“小笨蛋”是不是就和大佬打情骂俏了:quwan:

@OYYO
2、网格（几何）不一样应该也是可以map的，除非你的两个模型，没有重叠b站有个视频教程
1743059925287.png

如果是阻力系数太小该如何调整，亚临界雷诺数算了两次都在0.8多，不符合1.08左右

@尚善若水 喔喔好的，谢谢了

想请教一下怎么进行无穷的积分？做的圆柱绕流在文献中也看到了 momentum thickness，但是不知道具体实现方法

已经想到合适的解决方案啦！ 封楼

@李东岳 前处理只能在Open FOAM里面建模和画网格吗

@欧阳 我以前 OpenFOAM-8 用的上面发的代码，好像没问题的话

@CT 很遗憾，没有。我现在转去了别的方向，也不再使用该求解器了。如果只是希望做DSMC模拟而不是必须使用OpenFOAM的话，可以尝试其它开源软件，如Sparta等。

我不是很理解。不过如果你不想写laplacian，你可以写div(grad())

是的，sensibleEnthalpy是h，sensibleInternalEnergy是e
不过这俩应该不影响rhoCentralFoam，他能量方程自己硬植入了

@Amadeus
以及此图片下方B.2节中第二行

因此关于这部分的介绍非常多,本节重复介绍

是否应该为“本节不再重复介绍”?

snappyHexMeshDict文件里面

locationInMesh (x y z);

这一项里面的点坐标要设置为你需要生成网格的部分内，即这个点的坐标在你stl文件内则生成stl文件形状的网格，若点坐标在stl文件外面，则生成背景网格和stl之间部分的网格.

你这个细化背景网格可以考虑采用topoSet和refineMesh一起进行细化，不一定需要采用SnappyHexMesh。感觉好像snappyHexMesh在重叠网格中主要是运用在floatingBody哪儿作为提取网格特性和细化的工具，在背景网格中还是主要采用topoSet和refineMesh

这里如果使用SMALL，当接近零的时候，Y_s的值会接近零，滑移速度为0，也是符合原理的。但是我不确定OpenFOAM在计算时是否Y_s会真的趋向于0，请大佬们看看是否有更好的处理方法

感谢李老师！