High-Order accurate discontinuous finite element solution of the 2D Euler equations

摘要

This paper deals with a high-order accurate discontinuous finite element method for the numerical solution of the Euler equations. The method com- bines two key ideas which are at the basis of the finite volume and of the finite element method, the physics of wave propagation being accounted for by means of Riemann problems and accuracy being obtained by means of high-order polynomial approximations within elements. We focus our atten- tion on two-dimensional steady-state problems and present higher order accu- rate (up to fourth-order) discontinuous finite element solutions on unstruc- tured girds of triangles.