High-order variational Lagrangian schemes for compressible fluids

نویسندگان

چکیده

We present high-order variational Lagrangian finite element methods for compressible fluids using a discrete energetic approach. Our spatial discretization is mass/momentum/energy conserving and entropy stable. Fully implicit time stepping used the temporal discretization, which allows much larger step size stability compared to explicit methods, especially low-Mach number flows and/or on highly distorted meshes. Ample numerical results are presented showcase good performance of our proposed scheme.

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ژورنال

عنوان ژورنال: Journal of Computational Physics

سال: 2023

ISSN: ['1090-2716', '0021-9991']

DOI: https://doi.org/10.1016/j.jcp.2023.112398