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how to find the maximum vorticity and streamfunction in driven caivty 

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September 12, 2013, 09:36 
how to find the maximum vorticity and streamfunction in driven caivty

#1 
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i solved the 2D lid driven cavity problem using SIMPLE algorithm. could you please tell me how to obtain the maximum vorticity and stream function in the flow field. thanks 

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September 12, 2013, 15:34 

#2 
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Ehsan
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did you find the answer?
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September 12, 2013, 21:51 

#3 
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September 13, 2013, 03:08 

#4 
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Filippo Maria Denaro
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At steady state, compute the vorticity from your velocity field and solve the elliptic equation Lap (Psi) = vorticity. This way you get both functions and all the values you need


September 14, 2013, 09:28 

#5 
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thank you . i can obtain the whole field of them. but my problem is to find the maximum values so as to compare it with the benchmark solutions in the public paper. Since we only have the field on grid points. then how to find the maximum value?


September 15, 2013, 14:55 

#6  
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Quote:
Let's imagine your are in 2D and vorticity is stored in an array VOR(NI,NJ). VORMAX=VOR(1,1) DO J=1,NJ DO I=1,NI IF ( VOR(I,J).GT.VORMAX ) VORMAX = VOR(I,J) END DO END DO assume fortran coding 

September 15, 2013, 21:05 

#7 
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thank you , but i can not fully agree with you. in this way, the maximum value will depend on the mesh density.


September 15, 2013, 21:40 

#8 
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Establish a gridindependent solution. Otherwise any approach you follow will depend on the grid, whether you use an interpolation method or simply find the max over the grid.


September 15, 2013, 22:18 

#9 
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But even that will be grid dependent if the underlying solution is grid dependent.


September 16, 2013, 02:54 

#10 
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Filippo Maria Denaro
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leflix is right, just add the i,j values where the maximum is obtained.
What you ask for is simply wrong. In a numerical solution nothing else exists but the grid value. This is established by the Nyquist theorem. When you want to compute some extragrid value, is common to use some interpolation to reconstruct a continous function. But the values you obtain are somehow arbitrarily, depending on the order of the polynomial reconstruction. Therefore, just use the grid value, they are meaningfull of your solution 

September 16, 2013, 06:12 

#11  
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Ehsan
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Hi Ztdep
Quote:
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Injustice Anywhere is a Threat for Justice Everywhere.Martin Luther King. To Be or Not To Be,Thats the Question! The Only Stupid Question Is the One that Goes Unasked. 

September 16, 2013, 15:17 
open foam

#12 
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kaveh fathi
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hi everybody
can you help me about openFoam ?please I have run a program but the software shows some error .if you can help me I will send errors for you. 

September 16, 2013, 17:48 

#13 
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Ehsan
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hi
whats your problem?which university are you?
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Injustice Anywhere is a Threat for Justice Everywhere.Martin Luther King. To Be or Not To Be,Thats the Question! The Only Stupid Question Is the One that Goes Unasked. 

September 18, 2013, 04:15 
openFoam

#14 
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kaveh fathi
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hi I am in razi university from kermanshah.
I am working with openfoam I am going to analyse ac cavity .my solver is boussinesqsimple .when I run the program there is some error in fvslution(include solver for pressuer & tempreture & velocity and SIMPLE solver) file .I have copied this file from another exaxmple without any changing. I should be say that the software reads constant & 0 files. 

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