ALE-DGSEM approximation of wave reflection and transmission from a moving medium

DOI10.1016/j.jcp.2014.01.022zbMath1349.65494OpenAlexW1996533382MaRDI QIDQ348917

David A. Kopriva, Andrew R. Winters

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.01.022

zbMATH Keywords

conservation lawsnumerical fluxwave reflection and transmissionarbitrary Lagrangian-Euleriandiscontinuous Galerkin spectral element methodmoving material interface

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Waves and radiation in optics and electromagnetic theory (78A40) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (5)

Split form ALE discontinuous Galerkin methods with applications to under-resolved turbulent low-Mach number flows ⋮ A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes ⋮ Entropy stable discontinuous Galerkin schemes on moving meshes for hyperbolic conservation laws ⋮ Active flux schemes on moving meshes with applications to geometric optics ⋮ Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps

Uses Software

• HE-E1GODF

Cites Work

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• Boundary states at reflective moving boundaries
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• A discontinuous Galerkin ALE method for compressible viscous flows in moving domains
• Construction of the discrete geometric conservation law for high-order time-accurate simulations on dynamic meshes
• Metric identities and the discontinuous spectral element method on curvilinear meshes
• The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
• Implementing Spectral Methods for Partial Differential Equations
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Computational Aeroacoustics: An Overview of Computational Challenges and Applications
• Spectral Methods

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