# some puzzles on Boundary condition transformation

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 April 14, 2012, 09:44 some puzzles on Boundary condition transformation #1 New Member   YeChen Join Date: Apr 2012 Posts: 3 Rep Power: 7 Hello,everyone. I want to simulate a supersonic (Ma=4.0) flow fleid around a circular body and check for the shock/boundary profiles. I choose to use the finite difference method(FDM),and hence I do a grid transformation from physical domain(x,y) to computational domain(ξ,η). And there comes some puzzles: Fig.jpg 1) on the physical outflow boundary the condition like ux(imax,j)=ux(imax-1,j) such interpolations, how to convert this to the computational domain ? 2) what scheme is suitable for super/hypersonic problems like this, MacCormack seems have strong oscilations around the shock. what about Ausm series? 3) During the grid transformation, is second-order estimation of Jacobians like Xξ sufficient? Thank you very much for advises, my friends. I am looking forward for your help.

April 14, 2012, 10:59
#2
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Serge A. Suchkov
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Quote:
 Originally Posted by YeChen 2) what scheme is suitable for super/hypersonic problems like this, MacCormack seems have strong oscilations around the shock. what about Ausm series?
In your case you need one of shock-capturing schemes http://en.wikipedia.org/wiki/Shock_capturing_methods
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April 15, 2012, 09:00
#3
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YeChen
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Quote:
 Originally Posted by SergeAS In your case you need one of shock-capturing schemes http://en.wikipedia.org/wiki/Shock_capturing_methods
for the puzzle 1 listed , can you give me some advices. I guess my code work fails largely on this boundary condition transformation.
Explicitly to say, like a adiabatic left wall boundary in physical plane(x,y),we may use T(1,j)=T(2,j) to specify, after the transformation on the computational plane (ξ,η), what the left wall boundary then should look like , it's a mathe problem in fact.

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