On the geometric conservation law for high-order discontinuous Galerkin discretizations on dynamically deforming meshes

DOI10.1016/j.jcp.2011.01.022zbMath1220.65138OpenAlexW1975887945MaRDI QIDQ550868

Dimitri J. Mavriplis, Cristian R. Nastase

Publication date: 13 July 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.01.022

zbMATH Keywords

comparison of methodsnumerical resultscompressible flowcomputational fluid dynamicsmultigrid methodsmoving meshgas dynamicsdiscontinuous Galerkin finite element methodshigh order methodsgeometric conservation lawdeforming domainsbackwards difference schemes, Crank-Nicolson schemes, and implicit Runge-Kutta methods

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Uses Software

• HLLE

Cites Work

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