A variational finite element discretization of compressible flow

DOI10.1007/s10208-020-09473-wzbMath1506.65153arXiv1910.05648OpenAlexW3096136884MaRDI QIDQ2231645

Evan S. Gawlik, François Gay-Balmaz

Publication date: 30 September 2021

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05648

zbMATH Keywords

compressible fluidstructure-preserving discretizationdiscrete diffeomorphism groupfinite element variational integratorgeometric formulation of fluid dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

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