Evaluation of discontinuous Galerkin and spectral volume methods for scalar and system conservation laws on unstructured grids

Yuzhi Sun; Z. J. Wang

doi:10.1002/fld.726

Evaluation of discontinuous Galerkin and spectral volume methods for scalar and system conservation laws on unstructured grids

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.726 ◽

2004 ◽

Vol 45 (8) ◽

pp. 819-838 ◽

Cited By ~ 25

Author(s):

Yuzhi Sun ◽

Z. J. Wang

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Unstructured Grids ◽

Spectral Volume

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Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics

Computers & Fluids ◽

10.1016/j.compfluid.2010.07.018 ◽

2011 ◽

Vol 46 (1) ◽

pp. 498-504 ◽

Cited By ~ 30

Author(s):

François Vilar ◽

Pierre-Henri Maire ◽

Rémi Abgrall

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Unstructured Grids ◽

Two Dimensional ◽

Scalar Conservation Laws ◽

One Dimensional ◽

Lagrangian Hydrodynamics ◽

Scalar Conservation

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Evaluation of Discontinuous Galerkin and Spectral Volume Methods for 2D Euler Equations on Unstructured Grids

16th AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2003-3680 ◽

2003 ◽

Cited By ~ 3

Author(s):

Yuzhi Sun ◽

Z.J. Wang

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Unstructured Grids ◽

Spectral Volume ◽

2D Euler Equations

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Efficient Implementation of High-Order Spectral Volume Method for Multidimensional Conservation Laws on Unstructured Grids

45th AIAA Aerospace Sciences Meeting and Exhibit ◽

10.2514/6.2007-912 ◽

2007 ◽

Author(s):

Rob Harris ◽

Z. J. Wang ◽

Yen Liu

Keyword(s):

Conservation Laws ◽

Unstructured Grids ◽

Efficient Implementation ◽

High Order ◽

Spectral Volume ◽

Volume Method

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Performance and Scalability Improvements for Discontinuous Galerkin Solutions to Conservation Laws on Unstructured Grids

Journal of Scientific Computing ◽

10.1007/s10915-016-0249-y ◽

2016 ◽

Vol 70 (1) ◽

pp. 210-242 ◽

Cited By ~ 5

Author(s):

S. R. Brus ◽

D. Wirasaet ◽

J. J. Westerink ◽

C. Dawson

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Unstructured Grids

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Evaluation of Discontinuous Galerkin and Spectral Volume Methods for 2D Euler Equations on Unstructured Grids

41st Aerospace Sciences Meeting and Exhibit ◽

10.2514/6.2003-253 ◽

2003 ◽

Cited By ~ 1

Author(s):

Yuzhi Sun ◽

Z.J. Wang

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Unstructured Grids ◽

Spectral Volume ◽

2D Euler Equations

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A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids

Journal of Computational Physics ◽

10.1016/j.jcp.2009.07.036 ◽

2009 ◽

Vol 228 (21) ◽

pp. 8161-8186 ◽

Cited By ~ 221

Author(s):

Z.J. Wang ◽

Haiyang Gao

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Penalty Formulation ◽

Spectral Volume ◽

Difference Methods ◽

Volume Difference

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Correction: A Discontinuous Galerkin method for Non-Equilibrium Multi-Material Flows on Unstructured Grids

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-1313.c1 ◽

2020 ◽

Author(s):

Aditya Pandare ◽

Jacob Waltz ◽

Jozsef Bakosi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Unstructured Grids ◽

Material Flows ◽

Non Equilibrium

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High Order Spectral Volume and Spectral Difference Methods on Unstructured Grids

10.31274/etd-180810-2116 ◽

2008 ◽

Author(s):

Ravishekar Kannan

Keyword(s):

Unstructured Grids ◽

High Order ◽

Spectral Difference ◽

Spectral Volume ◽

Difference Methods

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Implicit Multistage Two-Derivative Discontinuous Galerkin Schemes for Viscous Conservation Laws

Journal of Scientific Computing ◽

10.1007/s10915-016-0221-x ◽

2016 ◽

Vol 69 (2) ◽

pp. 866-891 ◽

Cited By ~ 4

Author(s):

Alexander Jaust ◽

Jochen Schütz ◽

David C. Seal

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Viscous Conservation Laws

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Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.02.012 ◽

2021 ◽

Vol 87 ◽

pp. 120-138

Author(s):

Hennes Hajduk

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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