High-order variational Lagrangian schemes for compressible fluids
Numerical Analysis
2023-08-16 v1 Numerical Analysis
Abstract
We present high-order variational Lagrangian finite element methods for compressible fluids using a discrete energetic variational approach. Our spatial discretization is mass/momentum/energy conserving and entropy stable. Fully implicit time stepping is used for the temporal discretization, which allows for a much larger time step size for stability compared to explicit methods, especially for low-Mach number flows and/or on highly distorted meshes. Ample numerical results are presented to showcase the good performance of our proposed scheme.
Keywords
Cite
@article{arxiv.2302.13977,
title = {High-order variational Lagrangian schemes for compressible fluids},
author = {Guosheng Fu and Chun Liu},
journal= {arXiv preprint arXiv:2302.13977},
year = {2023}
}
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24 pages