Positivity-preserving method for high-order conservative schemes solving compressible Euler equations

After having found an optimal algorithm which converges in two steps for the third order model problem, we focus on the Euler system by translating this algorithm into an algorithm

In this paper, we construct arbitrarily high order accurate DG schemes which preserve positivity of the radiative intensity in the simulation of both steady and unsteady

In this paper, we survey our recent work on designing high order positivity- preserving well-balanced finite difference and finite volume WENO (weighted essen- tially

Keywords: positivity preserving; high order accuracy; compressible Euler equations; gas dynamics; finite difference scheme; essentially non-oscillatory scheme; weighted

Our goal is to provide with a thorough treatment of nonzero incoming boundary data and to design numerical boundary conditions that recover the optimal rate of convergence in

Method based on the convexity of Adaptation of the reconstruction procedure Addition of a fictitious state in each cell Reformulation of the 2nd order 2D scheme as a convex

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe -

The aim is to provide an improved formulation that would give, using linear approximation, at least second order accuracy on both flux and pressure variables, for any kind of