Spectral difference method for compressible flow on unstructured grids with mixed elements

DOI10.1016/j.jcp.2008.12.038zbMath1159.76029OpenAlexW2085599195MaRDI QIDQ1013175

Chunlei Liang, Anthony Jameson, Zhi Jian Wang

Publication date: 17 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.2008.12.038

zbMATH Keywords

quadrilateral gridcurved wall boundaryone-level \(h\)-refinement

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Spectral methods applied to problems in fluid mechanics (76M22) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

• Unnamed Item
• A \(p\)-multigrid spectral difference method with explicit and implicit smoothers on unstructured triangular grids
• On the stability and accuracy of the spectral difference method
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• High-order accurate discontinuous finite element solution of the 2D Euler equations
• Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
• A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
• Direct numerical simulation of flow past elliptic cylinders
• A high-order accurate unstructured finite volume Newton-Krylov algorithm for inviscid compressible flows
• Spectral difference method for unstructured grids. I. Basic formulation
• Extension of the spectral volume method to high-order boundary representation
• Spectral difference method for unstructured grids. II. Extension to the Euler equations
• A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods

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