A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations
Idioma
en
Article de revue
Este ítem está publicado en
Journal of Computational Physics. 2020-08, vol. 415, p. 109486
Elsevier
Resumen en inglés
This article deals with the development of a numerical method for the compressible Euler system valid for all Mach numbers: from extremely low to high regimes. In classical fluid dynamic problems, one faces both situations ...Leer más >
This article deals with the development of a numerical method for the compressible Euler system valid for all Mach numbers: from extremely low to high regimes. In classical fluid dynamic problems, one faces both situations in which the flow is subsonic, and consequently acoustic waves are very fast compared to the velocity of the fluid, and situations in which the fluid moves at high speed and compressibility may generate shock waves. Standard explicit fluid solvers such as Godunov method fail in the description of both flows due to time step restrictions caused by the stiffness of the equations which leads to prohibitive computational costs. In this work, we develop a new method for the full Euler system of gas dynamics based on partitioning the equations into a fast and a low scale. Such a method employs a time step which is independent of the speed of the pressure waves and works uniformly for all Mach numbers. Cell centered discretization on Cartesian meshes is proposed. Numerical results up to the three dimensional case show the accuracy, the robustness and the effectiveness of the proposed approach.< Leer menos
Palabras clave en inglés
All Mach number flow solver
Asymptotic preserving
Implicit-Explicit Runge-Kutta schemes
Incompressible flows
Multidimensional Euler equations
Orígen
Importado de HalCentros de investigación