Construction of TVD-like artificial viscosities on 2-dimensional arbitrary FEM grids
Abstract
Quasi-second-order accurate oscillation-free schemes for the Euler equations are constructed by adjunction of an artificial viscosity term, with a coefficient determined according to symmetric TVD theory, to a two-step FEM/Finite Volume Richtmyer-Galerkin scheme on arbitrary (unstructured) FEM grids. Numerical experiments involving transonic and supersonic compressible flows are presented.