Entropy-based nonlinear viscosity for Fourier approximations of conservation laws

Abstract An Entropy-based nonlinear viscosity for approximating conservation laws using Fourier expansions is proposed. The viscosity is proportional to the entropy residual of the equation (or system) and thus preserves the spectral accuracy of the method. To cite this article: J.-L. Guermond, R. Pasquetti, C. R. Acad. Sci. Paris, Ser. I 346 (2008).