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

Andreas Hiltebrand; Sandra May

doi:10.4310/cms.2018.v16.n8.a3

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 ◽

Entropy Stable

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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 ◽

High Order ◽

Navier Stokes ◽

Galerkin Methods ◽

Navier Stokes Equations ◽

Boundary Treatment

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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 ◽

Cited By ~ 22

Author(s):

Francesco Fambri ◽

Michael Dumbser

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Space Time ◽

Navier Stokes ◽

Galerkin Methods ◽

Cartesian Grids ◽

Navier Stokes Equations

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A comparison of refinement indicators for p-adaptive discontinuous Galerkin methods for the Euler and Navier-Stokes equations

2018 AIAA Aerospace Sciences Meeting ◽

10.2514/6.2018-0368 ◽

2018 ◽

Cited By ~ 3

Author(s):

Fabio Naddei ◽

Marta de la Llave Plata ◽

Vincent Couaillier

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Methods ◽

Navier Stokes Equations

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Numerical evaluation of two discontinuous Galerkin methods for the compressible Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.338 ◽

2002 ◽

Vol 40 (1-2) ◽

pp. 197-207 ◽

Cited By ~ 75

Author(s):

F. Bassi ◽

S. Rebay

Keyword(s):

Discontinuous Galerkin ◽

Numerical Evaluation ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Methods ◽

Navier Stokes Equations

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Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations

Mathematics of Computation ◽

10.1090/s0025-5718-10-02333-1 ◽

2010 ◽

Vol 79 (271) ◽

pp. 1303-1330 ◽

Cited By ~ 65

Author(s):

Daniele A. Di Pietro ◽

Alexandre Ern

Keyword(s):

Functional Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Methods ◽

Navier Stokes Equations ◽

Analysis Tools

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Semi-implicit discontinuous Galerkin methods for the incompressible Navier–Stokes equations on adaptive staggered Cartesian grids

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.06.003 ◽

2017 ◽

Vol 324 ◽

pp. 170-203 ◽

Cited By ~ 17

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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A study of spectral element and discontinuous Galerkin methods for the Navier–Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases

Journal of Computational Physics ◽

10.1016/j.jcp.2007.12.009 ◽

2008 ◽

Vol 227 (8) ◽

pp. 3849-3877 ◽

Cited By ~ 127

Author(s):

F.X. Giraldo ◽

M. Restelli

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Spectral Element ◽

Atmospheric Modeling ◽

Navier Stokes ◽

Test Cases ◽

Galerkin Methods ◽

Navier Stokes Equations ◽

Modeling Equation

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Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier–Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1134 ◽

2006 ◽

Vol 51 (9-10) ◽

pp. 1131-1156 ◽

Cited By ~ 71

Author(s):

R. Hartmann

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Shock Capturing ◽

Navier Stokes ◽

Galerkin Methods ◽

Navier Stokes Equations

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Shape sensitivity analysis for the compressible Navier–Stokes equations via discontinuous Galerkin methods

Computers & Fluids ◽

10.1016/j.compfluid.2012.08.014 ◽

2012 ◽

Vol 69 ◽

pp. 93-107 ◽

Cited By ~ 9

Author(s):

Li Wang ◽

W. Kyle Anderson

Keyword(s):

Sensitivity Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Methods ◽

Shape Sensitivity ◽

Shape Sensitivity Analysis ◽

Navier Stokes Equations

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Discontinuous Galerkin methods for the Navier-Stokes equations using solenoidal approximations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2161 ◽

2009 ◽

Vol 64 (5) ◽

pp. 549-564 ◽

Cited By ~ 17

Author(s):

A. Montlaur ◽

S. Fernandez-Mendez ◽

J. Peraire ◽

A. Huerta

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Methods ◽

Navier Stokes Equations

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