The Role of the Jacobian in the Adaptive Discontinuous Galerkin Method for the Compressible Euler Equations

Analysis and Numerics for Conservation Laws ◽

10.1007/3-540-27907-5_13 ◽

2005 ◽

pp. 301-316 ◽

Author(s):

Ralf Hartmann

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Compressible Euler Equations ◽

Compressible Euler

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A robust high-order discontinuous Galerkin method with large time steps for the compressible Euler equations

Communications in Mathematical Sciences ◽

10.4310/cms.2017.v15.n3.a11 ◽

2017 ◽

Vol 15 (3) ◽

pp. 813-837 ◽

Author(s):

Florent Renac

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Compressible Euler Equations ◽

Compressible Euler

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A two-stage fourth-order discontinuous Galerkin method based on the GRP solver for the compressible euler equations

Computers & Fluids ◽

10.1016/j.compfluid.2019.01.025 ◽

2019 ◽

Vol 181 ◽

pp. 248-258 ◽

Author(s):

Jian Cheng ◽

Zhifang Du ◽

Xin Lei ◽

Yue Wang ◽

Jiequan Li

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Compressible Euler Equations ◽

Two Stage ◽

Compressible Euler

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A Reconstructed Discontinuous Galerkin Method for the Compressible Euler Equations on Arbitrary Grids

19th AIAA Computational Fluid Dynamics ◽

10.2514/6.2009-3788 ◽

2009 ◽

Author(s):

Hong Luo ◽

Luqing Luo ◽

Robert Nourgaliev ◽

Vincent Mousseau

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Compressible Euler Equations ◽

Compressible Euler

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A residual-based h-adaptive reconstructed discontinuous Galerkin method for the compressible Euler equations on unstructured grids

Computers & Fluids ◽

10.1016/j.compfluid.2017.08.016 ◽

2017 ◽

Vol 156 ◽

pp. 470-484 ◽

Author(s):

Shengjiao Yu ◽

Jian Cheng ◽

Huiqiang Yue ◽

Tiegang Liu

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Unstructured Grids ◽

Compressible Euler Equations ◽

Compressible Euler

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A Dynamically Load-balanced Parallel p-adaptive Discontinuous Galerkin Method for the Compressible Euler Equations on Tetrahedral Grids

10.2514/6.2022-2007 ◽

2022 ◽

Author(s):

Weizhao Li ◽

Hong Luo ◽

Aditya Pandare ◽

Jozsef Bakosi

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Compressible Euler Equations ◽

Compressible Euler ◽

Tetrahedral Grids ◽

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An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

Communications in Computational Physics ◽

10.4208/cicp.oa-2018-0070 ◽

2019 ◽

Vol 26 (3) ◽

pp. 855-879 ◽

Author(s):

Jian Cheng

Keyword(s):

Steady State ◽

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Compressible Euler Equations ◽

Compressible Euler

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A cell-centered Lagrangian discontinuous Galerkin method using WENO and HWENO limiter for compressible Euler equations in two dimensions

Computational and Applied Mathematics ◽

10.1007/s40314-021-01575-7 ◽

2021 ◽

Vol 40 (6) ◽

Author(s):

Fang Qing ◽

Xijun Yu ◽

Zupeng Jia ◽

Zhenzhen Li

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensions ◽

Compressible Euler Equations ◽

Compressible Euler ◽

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A high-order vertex-centered quasi-Lagrangian discontinuous Galerkin method for compressible Euler equations in two-dimensions

Computers & Fluids ◽

10.1016/j.compfluid.2020.104678 ◽

2020 ◽

Vol 210 ◽

pp. 104678

Author(s):

Liqi Liu ◽

Zhijun Shen ◽

Qinghong Zeng ◽

Zupeng Jia

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensions ◽

Compressible Euler Equations ◽

Compressible Euler

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The cell-centered discontinuous Galerkin method for Lagrangian compressible Euler equations in two-dimensions

Computers & Fluids ◽

10.1016/j.compfluid.2014.03.018 ◽

2014 ◽

Vol 96 ◽

pp. 152-164 ◽

Author(s):

Zhenzhen Li ◽

Xijun Yu ◽

Zupeng Jia

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensions ◽

Compressible Euler Equations ◽

Compressible Euler

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Entropy-Stable Discontinuous Galerkin Method for Euler Equations Using Nonconservative Variables

Mathematical Models and Computer Simulations ◽

10.1134/s2070048221030091 ◽

2021 ◽

Vol 13 (3) ◽

pp. 416-425

Author(s):

Yu. A. Kriksin ◽

V. F. Tishkin

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

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