High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109731 ◽

2020 ◽

Vol 421 ◽

pp. 109731

Author(s):

Junming Duan ◽

Huazhong Tang

Keyword(s):

Discontinuous Galerkin ◽

Entropy Stable ◽

Relativistic Magnetohydrodynamics ◽

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High-Order Entropy Stable Discontinuous Galerkin Schemes in a Space-Time Computational Framework

46th AIAA Fluid Dynamics Conference ◽

10.2514/6.2016-3496 ◽

2016 ◽

Author(s):

Mohammad Zakerzadeh ◽

Georg May

Keyword(s):

Discontinuous Galerkin ◽

Computational Framework ◽

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Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2017.10.043 ◽

2018 ◽

Vol 354 ◽

pp. 163-178 ◽

Author(s):

Yong Liu ◽

Chi-Wang Shu ◽

Mengping Zhang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Structured Meshes ◽

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High-order entropy stable discontinuous Galerkin methods for the shallow water equations: Curved triangular meshes and GPU acceleration

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.11.006 ◽

2021 ◽

Vol 82 ◽

pp. 179-199

Author(s):

Xinhui Wu ◽

Ethan J. Kubatko ◽

Jesse Chan

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Gpu Acceleration ◽

Galerkin Methods ◽

Triangular Meshes ◽

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An entropy stable high-order discontinuous Galerkin method for cross-diffusion gradient flow systems

Kinetic and Related Models ◽

10.3934/krm.2019033 ◽

2019 ◽

Vol 12 (4) ◽

pp. 885-908 ◽

Author(s):

Zheng Sun ◽

◽

José A. Carrillo ◽

Chi-Wang Shu ◽

◽

...

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Gradient Flow ◽

Cross Diffusion ◽

Flow Systems ◽

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Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2017.05.025 ◽

2017 ◽

Vol 345 ◽

pp. 427-461 ◽

Author(s):

Tianheng Chen ◽

Chi-Wang Shu

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Conservation Laws ◽

Quadrature Rules ◽

Galerkin Methods ◽

Hyperbolic Conservation ◽

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An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110135 ◽

2021 ◽

Vol 431 ◽

pp. 110135

Author(s):

Frédéric Coquel ◽

Claude Marmignon ◽

Pratik Rai ◽

Florent Renac

Keyword(s):

Discontinuous Galerkin ◽

Spectral Element Method ◽

Two Phase Flow ◽

Spectral Element ◽

Two Phase ◽

Entropy Stable ◽

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High-Order Space-time Discontinuous Galerkin Cell Vertex Scheme toward Compressible Navier Stokes Equations

10.21236/ada567654 ◽

2012 ◽

Author(s):

Shuangzhang Tu

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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High order discontinuous Galerkin method for reduced flow models in fractured porous media

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.07.012 ◽

2021 ◽

Author(s):

Igor Mozolevski ◽

Marcio A. Murad ◽

Luciane A. Schuh

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractured Porous Media ◽

Flow Models ◽

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High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110136 ◽

2021 ◽

Vol 431 ◽

pp. 110136

Author(s):

Junming Duan ◽

Huazhong Tang

Keyword(s):

Finite Difference ◽

Shallow Water ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Entropy Stable ◽

Shallow Water Magnetohydrodynamics

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An improvement of classical slope limiters for high-order discontinuous Galerkin method

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1823 ◽

2009 ◽

Vol 59 (4) ◽

pp. 423-442 ◽

Author(s):

R. Ghostine ◽

G. Kesserwani ◽

R. Mosé ◽

J. Vazquez ◽

A. Ghenaim

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

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