Construction of High Order Schemes for the Compressible Euler and Navier-Stokes Equations
August 26, 2011
11:00 a.m.
Remi Abgrall
Abstract
In this talk, I shall describe and analyze a class of finite element schemes that are able to compute solutions of the Euler or Navier-Stokes equations that may present very sharp gradients. The connection with the more familiar Discontinuous Galerkin methods, or the stabilized finite element methods will be explained. The schemes are formally high-order accurate. I shall emphasize the second order and third order versions using triangle/tet and/or quad/hex meshes. Some aspects of the efficiency problem (memory, CPU time) will be discussed, the quality of results will be demonstrated on standard test cases.