RESEARCH ARTICLE
An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes
Thierry Goudon,
Julie Llobell,
Sebastian Minjeaud,
Thierry Goudon
Université Côte d'Azur, Inria, CNRS, LJAD, France
Search for more papers by this authorJulie Llobell
Université Côte d'Azur, CNRS, Inria, LJAD, France
Search for more papers by this authorCorresponding Author
Sebastian Minjeaud
Université Côte d'Azur, CNRS, Inria, LJAD, France
Correspondence
Sebastian Minjeaud, Université Côte d'Azur, CNRS, Inria, LJAD, France.
Email: [email protected]
Search for more papers by this authorThierry Goudon,
Julie Llobell,
Sebastian Minjeaud,
Thierry Goudon
Université Côte d'Azur, Inria, CNRS, LJAD, France
Search for more papers by this authorJulie Llobell
Université Côte d'Azur, CNRS, Inria, LJAD, France
Search for more papers by this authorCorresponding Author
Sebastian Minjeaud
Université Côte d'Azur, CNRS, Inria, LJAD, France
Correspondence
Sebastian Minjeaud, Université Côte d'Azur, CNRS, Inria, LJAD, France.
Email: [email protected]
Search for more papers by this authorAbstract
We present a new scheme for the simulation of the barotropic Euler equation in low Mach regimes. The method uses two main ingredients. First, the system is treated with a suitable time splitting strategy, directly inspired from the previous study that separates low and fast waves. Second, we adapt a numerical scheme where the discrete densities and velocities are stored on staggered grids, in the spirit of MAC methods, and with numerical fluxes derived from the kinetic approach. We bring out the main properties of the scheme in terms of consistency, stability, and asymptotic behavior, and we present a series of numerical experiments to validate the method.
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