Modified Equation Analysis for the Discontinuous Galerkin Formulation

DOI10.1007/978-3-319-19800-2_34zbMath1421.76212OpenAlexW2407610401MaRDI QIDQ2831225

Rodrigo C. Moura, Joaquim Peiró, Spencer J. Sherwin

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_34

zbMATH Keywords

wave propagationdiscontinuous Galerkin methodadvection problemsmodified equation analysis

Mathematics Subject Classification ID

Diffusion (76R50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence ⋮ Spatial eigenanalysis of spectral/\textit{hp} continuous Galerkin schemes and their stabilisation via DG-mimicking spectral vanishing viscosity for high Reynolds number flows ⋮ Eigenanalysis and non-modal analysis of collocated discontinuous Galerkin discretizations with the summation-by-parts property ⋮ Spectral/hp element methods' linear mechanism of (apparent) energy transfer in Fourier space: insights into dispersion analysis for implicit LES

Cites Work

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• An analysis of the discontinuous Galerkin method for wave propagation problems
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods
• A rationale for implicit turbulence modelling
• Spectral/hp Element Methods for Computational Fluid Dynamics

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