An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and $$L_2$$ L 2 stability

Numerische Mathematik ◽

10.1007/s00211-019-01027-9 ◽

2019 ◽

Vol 141 (4) ◽

pp. 1079-1120 ◽

Author(s):

David M. Williams

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Compressible Euler Equations ◽

Galerkin Methods ◽

Compressible Euler

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Adjoint-based h-p Adaptive Discontinuous Galerkin Methods for the Compressible Euler Equations

47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2009-952 ◽

2009 ◽

Author(s):

Li Wang ◽

Dimitri Mavriplis

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Compressible Euler Equations ◽

Galerkin Methods ◽

Compressible Euler

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Adjoint-based h–p adaptive discontinuous Galerkin methods for the 2D compressible Euler equations

Journal of Computational Physics ◽

10.1016/j.jcp.2009.07.012 ◽

2009 ◽

Vol 228 (20) ◽

pp. 7643-7661 ◽

Author(s):

Li Wang ◽

Dimitri J. Mavriplis

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Compressible Euler Equations ◽

Galerkin Methods ◽

Compressible Euler

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Three dimensional discontinuous Galerkin methods for Euler equations on adaptive conforming meshes

Computer Physics Communications ◽

10.1016/j.cpc.2011.01.001 ◽

2011 ◽

Vol 182 (9) ◽

pp. 1771-1775 ◽

Author(s):

Xijun Yu ◽

Di Wu ◽

Yun Xu

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Three Dimensional ◽

Galerkin Methods ◽

Conforming Meshes

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Feedback filtering in discontinuous Galerkin methods for Euler equations

Progress in Computational Fluid Dynamics An International Journal ◽

10.1504/pcfd.2016.074221 ◽

2016 ◽

Vol 16 (1) ◽

pp. 14 ◽

Author(s):

Andrea Ferrero ◽

Francesco Larocca

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.09.013 ◽

2016 ◽

Vol 327 ◽

pp. 39-66 ◽

Author(s):

Gregor J. Gassner ◽

Andrew R. Winters ◽

David A. Kopriva

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Compressible Euler Equations ◽

Summation By Parts ◽

Compressible Euler ◽

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A robust and accurate third-order Lagrangian discontinuous Galerkin hydrodynamic method for the compressible Euler equations on curvilinear meshes

AIAA Scitech 2019 Forum ◽

10.2514/6.2019-1401 ◽

2019 ◽

Author(s):

Xiaodong Liu ◽

Nathaniel R. Morgan ◽

Donald Burton

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Compressible Euler Equations ◽

Third Order ◽

Compressible Euler ◽

Hydrodynamic Method

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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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Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

Journal of Computational Physics ◽

10.1016/j.jcp.2010.10.036 ◽

2011 ◽

Vol 230 (4) ◽

pp. 1238-1248 ◽

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Compressible Euler Equations ◽

Source Terms ◽

Positivity Preserving ◽

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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Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation

Journal of Computational Physics ◽

10.1016/j.jcp.2017.09.063 ◽

2018 ◽

Vol 352 ◽

pp. 445-462 ◽

Author(s):

Gang Li ◽

Yulong Xing

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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