Hello all, This question is not directly related to deal.ii. I hope its not too out of place here.
I am solving compressible, inviscid flow using DG with linear shape functions, FE_DGQ(1). I use the 3-stage SSP RK scheme of Shu-Osher but I find that I have to use a cfl as low as 0.05 for it to work. A value of cfl=0.1 causes the iterations to blow up within about 10-20 iterations. This is a steady state problem and I am using local time stepping but even the global time stepping does not work. The flow is subsonic over an airfoil or cylinder, and there are no shocks. Can anybody point out some literature on cfl condition and stability analysis for nodal DG schemes which use non-simplex elements applied to convection pde ? Thanks praveen
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