title: On high-order accurate weighted essentially non-oscillatory and discontinuous Galerkin schemes for compressible turbulence simulations.
abstract: In this article, we give a brief overview on high-order accurate shock capturing schemes with the aim of applications in compressible turbulence simulations. The emphasis is on the basic methodology and recent algorithm developments for two classes of high-order methods: the weighted essentially non-oscillatory and discontinuous Galerkin methods.
authors.affiliation: Division of Applied Mathematics, Brown University, Providence, RI 02912, USA. shu@dam.brown.edu
authors.forename: Chi-Wang
authors.initials: CW
authors.lastname: Shu