Entropy Viscosity Method for High-Order Approximations of Conservation Laws [chapter]

J. L. Guermond, R. Pasquetti
2010 Lecture Notes in Computational Science and Engineering  
A stabilization technique for conservation laws is presented. It introduces in the governing equations a nonlinear dissipation function of the residual of the associated entropy equation and bounded from above by a first order viscous term. Different two-dimensional test cases are simulated -a 2D Burgers problem, the "KPP rotating wave" and the Euler system -using high order methods: spectral elements or Fourier expansions. Details on the tuning of the parameters controlling the entropy viscosity are given.
doi:10.1007/978-3-642-15337-2_39 fatcat:rs533gbejjbdhdpf263tvgmnre