RT Conference Proceedings
T1 All-regime Lagrangian-Remap numerical schemes for the gas dynamics equations. Applications to the large friction and low Mach coefficients
A1 Chalons, Christophe
K1 Dinámica de gases
AB In this talk, we propose an all regime Lagrange-Projection like numerical scheme for the gas dynamicsequations. By all regime, we mean that the numerical scheme is able to compute accurateapproximate solutions with an under-resolved discretization with respect to the Mach numberM, i.e. such that the ratio between the Mach number M and the mesh size or the time step issmall with respect to 1. The key idea is to decouple acoustic and transport phenomenon andthen alter the numerical flux in the acoustic approximation to obtain a uniform truncation errorin term of M. This modified scheme is conservative and endowed with good stability propertieswith respect to the positivity of the density and the internal energy. A discrete entropy inequalityunder a condition on the modification is obtained thanks to a reinterpretation of the modifiedscheme in the Harten Lax and van Leer formalism. A natural extension to multi-dimensionalproblems discretized over unstructured mesh is proposed. Then a simple and efficient semiimplicit scheme is also proposed. The resulting scheme is stable under a CFL condition drivenby the (slow) material waves and not by the (fast) acoustic waves and so verifies the all regimeproperty. Numerical evidences are proposed and show the ability of the scheme to deal withtests where the flow regime may vary from low to high Mach values.
YR 2016
FD 2016-05-16
LK http://hdl.handle.net/10630/11406
UL http://hdl.handle.net/10630/11406
LA eng
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 23 ene 2026