TY - JOUR T1 - An Explicit MUSCL Scheme on Staggered Grids with Kinetic-Like Fluxes for the Barotropic and Full Euler System AU - Goudon , Thierry AU - Llobell , Julie AU - Minjeaud , Sebastian JO - Communications in Computational Physics VL - 3 SP - 672 EP - 724 PY - 2020 DA - 2020/02 SN - 27 DO - http://doi.org/10.4208/cicp.OA-2018-0307 UR - https://global-sci.org/intro/article_detail/cicp/13926.html KW - Euler equations, finite volume methods, staggered grids, MUSCL schemes. AB -

We present a second order scheme for the barotropic and full Euler equations. The scheme works on staggered grids, with numerical unknowns stored at dual locations, while the numerical fluxes are derived in the spirit of kinetic schemes. We identify stability conditions ensuring the positivity of the discrete density and energy. We illustrate the ability of the scheme to capture the structure of complex flows with 1D and 2D simulations on MAC grids.