Exact solution of NS eq. in Kim and Moin's paper
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? 
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I don't understand.
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I'm very sorry about that. I don't understand. There is exp(2t) in equation. So, u and v change in time. Am I wrong? Please, explain in greater detail. 
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Then, will I check for one clock? 
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no, time is notr fixed. What he meant is that the solution stays periodic in space, and decays in time. Just put periodic bcs on your spatial domain! 
OK~
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Ok. I'm understanding. I will try to do. And I will report. Thanks. 
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