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January 21, 2012, 07:45 
Exact solution of NS eq. in Kim and Moin's paper

#1 
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Kyounghwa Kim
Join Date: Jan 2012
Posts: 9
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Hello. I'm Kyounghwa.
I'm going on check my New solver for NS eq. I have a question. There are exact solution of NS eq. about decaying vortices. u(x,y,t)=cosx*siny*exp(2t) v(x,y,t)=sinx*cosy*exp(2t) p(x,y,t)=1/4*(cos2x+cos2y)*exp(4t) These equations are in Kim and Moin's paper. "Application of a FractionalStep Method to Incompressible navierStokes Equations" in 1985. This eq. satisfies divergence free. But, I can't solve by just substituting into Incompressible NS eq. because the boundary condition of exact solution changes for time(t). What will I do? Please, give me an idea. I don't know anything. I have one more question. How to obtain a exact solution with boundary conditions of u and v are zero? Last edited by Kyounghwa; January 21, 2012 at 08:04. Reason: It's mistake. 

January 21, 2012, 08:08 

#2  
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Quote:


January 21, 2012, 08:57 
I don't understand.

#3 
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Kyounghwa Kim
Join Date: Jan 2012
Posts: 9
Rep Power: 6 

January 21, 2012, 10:05 

#4 
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Kyounghwa Kim
Join Date: Jan 2012
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January 21, 2012, 11:54 

#5 
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cfdnewbie
Join Date: Mar 2010
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January 23, 2012, 10:36 
OK~

#6  
New Member
Kyounghwa Kim
Join Date: Jan 2012
Posts: 9
Rep Power: 6 
Quote:
Ok. I'm understanding. I will try to do. And I will report. Thanks. Last edited by Kyounghwa; January 23, 2012 at 10:37. Reason: Add something. 

Tags 
exact solution, kim and moin, navier stokes equation 
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