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 - <p style="text-align: justify;">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.</p>