Higher order schemes
Is any body out there working on higher order schemes( >3rd ) for space discretization. I am using pade type FVM for compressible flows. I have worked out for 1d linear equations they are working fine but the same procedure as described by literature when applied for nonlinear equations is not working properly. I would like to have active discussion on this topic.
My problem is I use cell centred FVM for space discretization. In order to find flux on the faces I first used 4th order pade to find the variables on the faces and then find the nonlinear terms using these interpolated values.
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