Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system

Journal of Computational Physics ◽

10.1016/j.jcp.2020.110058 ◽

2021 ◽

Vol 427 ◽

pp. 110058

Author(s):

Lingquan Li ◽

Jialin Lou ◽

Hiroaki Nishikawa ◽

Hong Luo

Keyword(s):

Discontinuous Galerkin ◽

Compressible Flows ◽

Discontinuous Galerkin Methods ◽

Stokes System ◽

Navier Stokes ◽

Galerkin Methods

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On the Boundary Treatment for the Compressible Navier–Stokes Equations Using High-Order Discontinuous Galerkin Methods

Computational Fluid Dynamics 2010 ◽

10.1007/978-3-642-17884-9_23 ◽

2011 ◽

pp. 197-202

Author(s):

Andreas Richter ◽

Jörg Stiller

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Methods ◽

Navier Stokes Equations ◽

Boundary Treatment

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Adaptive Aerodynamic Design Optimization for Navier-Stokes Using Shape Derivatives with Discontinuous Galerkin Methods

Computational Methods in Applied Sciences - Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences ◽

10.1007/978-3-319-11541-2_9 ◽

2014 ◽

pp. 143-158 ◽

Author(s):

L. Kaland ◽

M. Sonntag ◽

N. R. Gauger

Keyword(s):

Design Optimization ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Navier Stokes ◽

Galerkin Methods ◽

Aerodynamic Design ◽

Shape Derivatives ◽

Aerodynamic Design Optimization

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Implicit method and slope limiter in AHMR procedure for high order discontinuous Galerkin methods for compressible flows

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2018.12.020 ◽

2019 ◽

Vol 72 ◽

pp. 371-391 ◽

Author(s):

Eric Schall ◽

Nicolas Chauchat

Keyword(s):

Discontinuous Galerkin ◽

Compressible Flows ◽

Discontinuous Galerkin Methods ◽

Implicit Method ◽

Galerkin Methods ◽

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A unified framework of continuous and discontinuous Galerkin methods for solving the incompressible Navier–Stokes equation

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109799 ◽

2020 ◽

Vol 422 ◽

pp. 109799

Author(s):

Xi Chen ◽

Yuwen Li ◽

Corina Drapaca ◽

John Cimbala

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equation ◽

Discontinuous Galerkin Methods ◽

Navier Stokes ◽

Galerkin Methods ◽

Unified Framework ◽

Navier Stokes Equation ◽

Incompressible Navier Stokes Equation

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Reconstructed Discontinuous Galerkin Methods for Compressible Flows in ALE Formulation

2018 AIAA Aerospace Sciences Meeting ◽

10.2514/6.2018-0596 ◽

2018 ◽

Author(s):

Chuanjin Wang ◽

Hong Luo ◽

Aditya Kashi

Keyword(s):

Discontinuous Galerkin ◽

Compressible Flows ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Ale Formulation

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Entropy stable spacetime discontinuous Galerkin methods for the two-dimensional compressible Navier–Stokes equations

Communications in Mathematical Sciences ◽

10.4310/cms.2018.v16.n8.a3 ◽

2018 ◽

Vol 16 (8) ◽

pp. 2095-2124

Author(s):

Andreas Hiltebrand ◽

Sandra May

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Methods ◽

Two Dimensional ◽

Navier Stokes Equations ◽

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Local Discontinuous Galerkin Methods for the Stokes System

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900380121 ◽

2002 ◽

Vol 40 (1) ◽

pp. 319-343 ◽

Author(s):

Bernardo Cockburn ◽

Guido Kanschat ◽

Dominik Schötzau ◽

Christoph Schwab

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes System ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods

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Spectral semi-implicit and space–time discontinuous Galerkin methods for the incompressible Navier–Stokes equations on staggered Cartesian grids

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.07.014 ◽

2016 ◽

Vol 110 ◽

pp. 41-74 ◽

Author(s):

Francesco Fambri ◽

Michael Dumbser

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Methods ◽

Cartesian Grids ◽

Navier Stokes Equations

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Discontinuous Galerkin Methods Using an hp-Multigrid Solver for Inviscid Compressible Flows on Three-dimensional Unstructured Meshes

44th AIAA Aerospace Sciences Meeting and Exhibit ◽

10.2514/6.2006-107 ◽

2006 ◽

Author(s):

Cristian Nastase ◽

Dimitri Mavriplis

Keyword(s):

Discontinuous Galerkin ◽

Compressible Flows ◽

Discontinuous Galerkin Methods ◽

Three Dimensional ◽

Unstructured Meshes ◽

Galerkin Methods ◽

Multigrid Solver ◽

Inviscid Compressible Flows

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Multigrid methods for Hdiv-conforming discontinuous Galerkin methods for the Stokes equations

Journal of Numerical Mathematics ◽

10.1515/jnma-2015-0005 ◽

2015 ◽

Vol 23 (1) ◽

Author(s):

Guido Kanschat ◽

Youli Mao

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Multigrid Method ◽

Stokes System ◽

Stokes Equations ◽

Multigrid Methods ◽

Galerkin Methods

AbstractA multigrid method for the Stokes system discretized with an H

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