Well-Balanced Central Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations

Advances in Applied Mathematics ◽

10.12677/aam.2017.64071 ◽

2017 ◽

Vol 06 (04) ◽

pp. 611-618

Author(s):

爱敏陈

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Nonlinear Shallow Water Equations ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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A Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-01007-z ◽

2019 ◽

Vol 80 (3) ◽

pp. 1936-1956 ◽

Author(s):

Ali Samii ◽

Kazbek Kazhyken ◽

Craig Michoski ◽

Clint Dawson

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Hybridizable Discontinuous Galerkin ◽

Nonlinear Shallow Water Equations ◽

Hybridizable Discontinuous Galerkin Methods

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Entropy Stable and Well-Balanced Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01248-3 ◽

2020 ◽

Vol 83 (3) ◽

Author(s):

Xiao Wen ◽

Wai Sun Don ◽

Zhen Gao ◽

Yulong Xing

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Nonlinear Shallow Water Equations ◽

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Positivity-Preserving Well-Balanced Arbitrary Lagrangian–Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-021-01578-w ◽

2021 ◽

Vol 88 (3) ◽

Author(s):

Weijie Zhang ◽

Yinhua Xia ◽

Yan Xu

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Arbitrary Lagrangian Eulerian ◽

Positivity Preserving

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Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/16m1070001 ◽

2016 ◽

Vol 38 (6) ◽

pp. A3720-A3740 ◽

Author(s):

Maojun Li ◽

Fengyan Li ◽

Zhen Li ◽

Liwei Xu

Keyword(s):

Maximum Principle ◽

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Conservation Laws ◽

Galerkin Methods ◽

Positivity Preserving ◽

Hyperbolic Conservation ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations

Journal of Computational Science ◽

10.1016/j.jocs.2012.05.002 ◽

2013 ◽

Vol 4 (1-2) ◽

pp. 80-91 ◽

Author(s):

Sergey Yakovlev ◽

Liwei Xu ◽

Fengyan Li

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Ideal Mhd ◽

Divergence Free ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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PHYSICAL-CONSTRAINT-PRESERVING CENTRAL DISCONTINUOUS GALERKIN METHODS FOR SPECIAL RELATIVISTIC HYDRODYNAMICS WITH A GENERAL EQUATION OF STATE

The Astrophysical Journal Supplement Series ◽

10.3847/1538-4365/228/1/3 ◽

2016 ◽

Vol 228 (1) ◽

pp. 3 ◽

Author(s):

Kailiang Wu ◽

Huazhong Tang

Keyword(s):

Equation Of State ◽

Discontinuous Galerkin ◽

General Equation ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Relativistic Hydrodynamics ◽

Physical Constraint ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes

Journal of Scientific Computing ◽

10.1007/s10915-013-9695-y ◽

2013 ◽

Vol 57 (1) ◽

pp. 19-41 ◽

Author(s):

Yulong Xing ◽

Xiangxiong Zhang

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Triangular Meshes ◽

Positivity Preserving

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Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium

Journal of Computational Physics ◽

10.1016/j.jcp.2013.10.010 ◽

2014 ◽

Vol 257 ◽

pp. 536-553 ◽

Author(s):

Yulong Xing

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Water Equilibrium

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Nodal High-Order Discontinuous Galerkin Methods for the Spherical Shallow Water Equations

Journal of Computational Physics ◽

10.1006/jcph.2002.7139 ◽

2002 ◽

Vol 181 (2) ◽

pp. 499-525 ◽

Author(s):

F.X. Giraldo ◽

J.S. Hesthaven ◽

T. Warburton

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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High order well-balanced discontinuous Galerkin methods based on hydrostatic reconstruction for shallow water equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.10.027 ◽

2018 ◽

Vol 340 ◽

pp. 546-560 ◽

Author(s):

Gang Li ◽

Lina Song ◽

Jinmei Gao

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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