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second order schemes

Posted August 28, 2013 at 10:43 by skeptik

Originally Posted by alberto View Post

both limitedLinear and linearUpwind are bounded. What is different is how the boundness of the scheme is obtained (see table 4.10 of User's guide).
  • limitedLinear is the linear scheme stabilized with the introduction of a limiter (Sweby limiter)
  • linearUpwind in an upwinded scheme
About their accuracy, limitedLinear is in my experience slightly less diffusive, but I had good results with both the schemes.

I believe the second order upwind scheme in commercial codes is close to linearUpwind than to limitedLinear, probably with limiters turned on. Something along the lines of

div(phi, U) Gauss linearUpwindV cellMDLimited Gauss linear 1;

(notice linearUpwindV becomes linearUpwind for scalars) which limits also the gradients.

Another one post about numerical schemes of the OF
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