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A new wall function based on the velocity fieldstrange result 

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September 3, 2015, 22:37 
A new wall function based on the velocity fieldstrange result

#1 
Senior Member
Huang Xianbei
Join Date: Sep 2013
Location: Yangzhou,China
Posts: 302
Rep Power: 13 
Hi,all:
Recently, I was implementing a new type of wall function into OF based velocity. As done in OF, the wall function is implemented based on nut or nuSgs for eddy viscosity. While for nonlinear model, it's not applicable. Instead, it is needed to implement a wall function based on velocity so that it is more general. As in wall function theory, the tangential velocity is modified, the idea is to devide the velocity into the wallnormal velocity and tangential velocity: U=Uver+Ut the wallnormal velocity can be obtained by: Code:
const vectorField wallnormal=U.snGrad()/max(mag(U.snGrad()),VSMALL); const vectorField Uver = (U&wallnormal)*wallnormal; Code:
const vectorField wallnormal=patch.nf(); Code:
const vectorField Ut=(UUver)/max(mag(UUver),VSMALL); Code:
const vectorField patchnormal=patch().Sf()/patch().magSf(); const vectorField wallshearstress=patchnormal&devBeff; scalar walls=mag(wallshearstress[facei]);scalar utau=sqrt(walls); scalar yplus=utau/(ry[facei]*nuw[facei]);// y>11, u+=ln(Ey+)/K y<=11,u+=y+ Code:
if (yplus>11) { Uw[facei]=(log(E_*yplus)/kappa_)*utau*Ut[facei]+Uver[facei]; } else { Uw[facei]=yplus*utau*Ut[facei]+Uver[facei]; } Does anyone have any idea? here is the code: USpaldingWallFunctionFvPatchVectorField.H USpaldingWallFunctionFvPatchVectorField.C Xianbei 

September 4, 2015, 22:35 

#2 
Senior Member
Huang Xianbei
Join Date: Sep 2013
Location: Yangzhou,China
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Another problem I'm facing is the way I calculate the wallshearstress used for yplus calculation. In my code, the magnitude of wallshearstress vector is used, while if I change it to:
Ut&wallshearstress to get the tangential component of wallshearstress, then the calculation break down I don't know how do this occur!! edit1: this is due to that the wallshearstress may be 0 and sqrt(0) is not allowed.However, the result is not correct. Does anyone have similar experience? Last edited by huangxianbei; September 5, 2015 at 22:49. 

September 6, 2015, 07:48 

#3 
Senior Member
Huang Xianbei
Join Date: Sep 2013
Location: Yangzhou,China
Posts: 302
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Well, I found that it may be not possible to implement such a wall function in OF because that the boundary field of U would not correct during the calculation. Therefore, no matter how I change the formulation of Uw, the result is not affected. So it would only be possible to modify the SGS stress just like the process in nuSgsUSpaldingWallFunction.
Another problem is that the gradient operation can be used as following: Code:
const fvPatchVectorField& U = lesModel.U().boundaryField()[patchi]; const symmTensorField S = symm(fvc::grad(U)); Edit 1:solved, use "fvc:;grad(lesModel.U())" Last edited by huangxianbei; September 6, 2015 at 09:03. 

September 7, 2015, 05:42 

#4 
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Huang Xianbei
Join Date: Sep 2013
Location: Yangzhou,China
Posts: 302
Rep Power: 13 
Hi, all:
After further investigation, I found that the reason why wall function on U got incorrect result was that the field never changed! Here is two steps of the calculations: case1: without wall function: Code:
Time = 0.2 Courant Number mean: 0.101138 max: 0.121578 DILUPBiCG: Solving for Ux, Initial residual = 0.0152247, Final residual = 8.25801e06, No Iterations 2 DILUPBiCG: Solving for Uy, Initial residual = 1, Final residual = 3.17434e06, No Iterations 3 DILUPBiCG: Solving for Uz, Initial residual = 0.0458469, Final residual = 1.27448e07, No Iterations 3 DICPCG: Solving for p, Initial residual = 1, Final residual = 0.0439203, No Iterations 4 time step continuity errors : sum local = 6.97808e06, global = 4.07795e19, cumulative = 4.07795e19 DICPCG: Solving for p, Initial residual = 0.0352028, Final residual = 5.3519e07, No Iterations 37 time step continuity errors : sum local = 1.72154e10, global = 1.35659e19, cumulative = 5.43454e19 Uncorrected Ubar = 0.133433 pressure gradient = 0.000336634 ExecutionTime = 0.04 s ClockTime = 0 s Time = 0.4 Courant Number mean: 0.101256 max: 0.121545 DILUPBiCG: Solving for Ux, Initial residual = 0.0386084, Final residual = 1.19873e08, No Iterations 3 DILUPBiCG: Solving for Uy, Initial residual = 0.333311, Final residual = 1.1725e07, No Iterations 3 DILUPBiCG: Solving for Uz, Initial residual = 0.055974, Final residual = 4.27262e08, No Iterations 3 DICPCG: Solving for p, Initial residual = 0.883414, Final residual = 0.0426073, No Iterations 4 time step continuity errors : sum local = 6.88827e06, global = 2.91983e19, cumulative = 8.35436e19 DICPCG: Solving for p, Initial residual = 0.0802868, Final residual = 5.44705e07, No Iterations 38 time step continuity errors : sum local = 6.15091e11, global = 1.27589e18, cumulative = 2.11133e18 Uncorrected Ubar = 0.133557 pressure gradient = 8.86117e05 ExecutionTime = 0.06 s ClockTime = 0 s Code:
Time = 0.2 Courant Number mean: 0.101138 max: 0.121578 DILUPBiCG: Solving for Ux, Initial residual = 0.0152247, Final residual = 8.25801e06, No Iterations 2 DILUPBiCG: Solving for Uy, Initial residual = 1, Final residual = 3.17434e06, No Iterations 3 DILUPBiCG: Solving for Uz, Initial residual = 0.0458469, Final residual = 1.27448e07, No Iterations 3 DICPCG: Solving for p, Initial residual = 1, Final residual = 0.0439203, No Iterations 4 time step continuity errors : sum local = 6.97808e06, global = 4.07795e19, cumulative = 4.07795e19 DICPCG: Solving for p, Initial residual = 0.0352028, Final residual = 5.3519e07, No Iterations 37 time step continuity errors : sum local = 1.72154e10, global = 1.35659e19, cumulative = 5.43454e19 Uncorrected Ubar = 0.133433 pressure gradient = 0.000336634 ExecutionTime = 0.11 s ClockTime = 0 s Time = 0.4 Courant Number mean: 0.101256 max: 0.121545 DILUPBiCG: Solving for Ux, Initial residual = 0.0386084, Final residual = 1.19873e08, No Iterations 3 DILUPBiCG: Solving for Uy, Initial residual = 0.333311, Final residual = 1.1725e07, No Iterations 3 DILUPBiCG: Solving for Uz, Initial residual = 0.055974, Final residual = 4.27262e08, No Iterations 3 DICPCG: Solving for p, Initial residual = 0.883414, Final residual = 0.0426073, No Iterations 4 time step continuity errors : sum local = 6.88827e06, global = 2.91983e19, cumulative = 8.35436e19 DICPCG: Solving for p, Initial residual = 0.0802868, Final residual = 5.44705e07, No Iterations 38 time step continuity errors : sum local = 6.15091e11, global = 1.27589e18, cumulative = 2.11133e18 Uncorrected Ubar = 0.133557 pressure gradient = 8.86117e05 ExecutionTime = 0.13 s ClockTime = 0 s That means the boundary field is not modified during the calculation when wall function is applied! How can I make it take effect during the calculation? In the code, fixedValueFvPatchVectorField::evaluate() is called. In the description, this function is to evaluate the patch field. How can it be that the patch field is not changed??? Any idea is welcome! Xianbei 

September 9, 2015, 22:25 

#5 
Senior Member
Huang Xianbei
Join Date: Sep 2013
Location: Yangzhou,China
Posts: 302
Rep Power: 13 
As U.correctBoundaryConditions() is called in the solver, it's strange that U is not corrected. The correctBoundaryConditions is explained here, it will call the evaluate() function in the boundary condition applied. So in my code, U.correctBoundaryConditions() should call evaluate() and correct the velocity field, however, no change is seen.


September 30, 2015, 03:54 

#6  
Member
Jason Tan
Join Date: Sep 2014
Posts: 47
Rep Power: 11 
Quote:
I read your thread and I know what you research is about DNS, and so do I, Now I face a hard question is that how do calculate y+ in DNS,you know there is no any codes about calculating y+ in DNS. I saw your answer in other thread about y+ about DNS,but you didn't show how,Can you show me? my email is : tzqfly2009@163.com 

September 30, 2015, 07:52 

#7  
Senior Member
Huang Xianbei
Join Date: Sep 2013
Location: Yangzhou,China
Posts: 302
Rep Power: 13 
Quote:
For a DNS calculation , a simple way to achieve this is using the velocity gradient. If the mesh is fine, you can use gradU=u1/y1, here, 1 represents the value at the first node nearwall. tau_wall=nu*gradU, u_tau=sqrt(tau_wall), so you can calculate the y+ Xianbei 

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