I want to simulation the flow in helical pipe.
I have one Continuity equation and three momentum equations in s=>(u),r=>(v),teta=>(w).
I used staggered mesh and descritized all of terms in central(finite difference).
I want to use projection method for solution these navier-stokes equations.
What is stability condition for helical coordinates (three dimensional)in projection method?because I donít know which number of interval in s,r,teta causes convergence!
second problem :
In descritized scheme we have i+2,i-2,j+2,j-2,k+2,k-2 indexes for u,v and w.
what do I have to do for the nodes of near the boundary? It means that two nodes produced out of domain but I donít know value of them and they are unknowns.
We have to apply boundary conditions.in s and teta I have to apply periodic
Conditions.what are periodic boundary conditions for u,v and w in s and teta?
Is there any paper or books(references) for programming of projection method(three dimensional)?
Thanks for your guidance and aid
The ghost cells may also help in imposing periodic boundary conditions.
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