A stability analysis for the spectral volume method on tetrahedral grids

DOI10.1016/j.jcp.2008.10.011zbMath1161.65079OpenAlexW366334369MaRDI QIDQ1010314

Ghader Ghorbaniasl, Koen Van Den Abeele, Matteo Parsani, Chris Lacor

Publication date: 3 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.10.011

zbMATH Keywords

stabilityconservation lawsnumerical examplesspectral volume methodunstructured tetrahedral grids

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (9)

Third-order paired explicit Runge-Kutta schemes for stiff systems of equations ⋮ A \(p\)-multigrid spectral difference method for two-dimensional unsteady incompressible Navier-Stokes equations ⋮ Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation ⋮ High-order adaptive quadrature-free spectral volume method on unstructured grids ⋮ Spectral properties of high-order element types for implicit large eddy simulation ⋮ A high order least square-based finite difference-finite volume method with lattice Boltzmann flux solver for simulation of incompressible flows on unstructured grids ⋮ Assessment of the Spectral Volume Method on Inviscid and Viscous Flows ⋮ Analysis of spectral volume methods for 1D linear scalar hyperbolic equations ⋮ Eigenanalysis and non-modal analysis of collocated discontinuous Galerkin discretizations with the summation-by-parts property

Cites Work

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• Spectral (finite) volume method for conservation laws on unstructured grids. VI: Extension to viscous flow
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• Partitions of a Simplex Leading to Accurate Spectral (Finite) Volume Reconstruction

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