An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2008.07.015 ◽

2008 ◽

Vol 227 (22) ◽

pp. 9670-9685 ◽

Author(s):

Ralf Hartmann ◽

Paul Houston

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Optimal Order ◽

Interior Penalty ◽

Navier Stokes Equations ◽

Galerkin Discretization

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An artificial Equation of State based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110705 ◽

2022 ◽

Vol 448 ◽

pp. 110705

Author(s):

F. Massa ◽

L. Ostrowski ◽

F. Bassi ◽

C. Rohde

Keyword(s):

Equation Of State ◽

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Riemann Solver ◽

Navier Stokes Equations ◽

Galerkin Discretization

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A conservative discontinuous Galerkin discretization for the chemically reacting Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109826 ◽

2020 ◽

Vol 423 ◽

pp. 109826

Author(s):

Ryan F. Johnson ◽

Andrew D. Kercher

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Galerkin Discretization ◽

Chemically Reacting

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High-Order, Time-Dependent Aerodynamic Optimization using a Discontinuous Galerkin Discretization of the Navier-Stokes Equations

54th AIAA Aerospace Sciences Meeting ◽

10.2514/6.2016-0064 ◽

2016 ◽

Author(s):

Matthew J. Zahr ◽

Per-Olof Persson

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Aerodynamic Optimization ◽

Navier Stokes Equations ◽

Galerkin Discretization ◽

High Order Time

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An Overset Grid (Chimera) Method for a Discontinuous Galerkin Discretization of the Navier‐Stokes Equations

PAMM ◽

10.1002/pamm.202000172 ◽

2021 ◽

Vol 20 (1) ◽

Author(s):

Fabian Genuit ◽

Manuel Keßler ◽

Ewald Krämer

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Overset Grid ◽

Navier Stokes Equations ◽

Galerkin Discretization

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Adaptive Discontinuous Galerkin Finite Element Methods with Interior Penalty for the Compressible Navier-Stokes Equations

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-642-18775-9_38 ◽

2004 ◽

pp. 410-419

Author(s):

Ralf Hartmann ◽

Paul Houston

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Interior Penalty ◽

Navier Stokes Equations ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Efficient solution strategy for the semi-implicit discontinuous Galerkin discretization of the Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2010.10.029 ◽

2011 ◽

Vol 230 (11) ◽

pp. 4176-4200 ◽

Author(s):

V. Dolejší ◽

M. Holík ◽

J. Hozman

Keyword(s):

Discontinuous Galerkin ◽

Efficient Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Solution Strategy ◽

Navier Stokes Equations ◽

Galerkin Discretization

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Discontinuous Galerkin discretization of the Reynolds-averaged Navier–Stokes equations with the shear-stress transport model

Journal of Computational Physics ◽

10.1016/j.jcp.2013.12.062 ◽

2014 ◽

Vol 262 ◽

pp. 194-216 ◽

Author(s):

Stefan Schoenawa ◽

Ralf Hartmann

Keyword(s):

Shear Stress ◽

Discontinuous Galerkin ◽

Stokes Equations ◽

Transport Model ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Galerkin Discretization ◽

Shear Stress Transport ◽

Shear Stress Transport Model ◽

Reynolds Averaged Navier Stokes

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Entropy Behavior for Underresolved Discontinuous Galerkin Discretization of the Navier-Stokes Equations

AIAA Scitech 2019 Forum ◽

10.2514/6.2019-1889 ◽

2019 ◽

Author(s):

Cory Frontin ◽

David Darmofal ◽

Steven R. Allmaras ◽

Scott M. Murman

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Galerkin Discretization

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Agglomeration based discontinuous Galerkin discretization of the Euler and Navier–Stokes equations

Computers & Fluids ◽

10.1016/j.compfluid.2011.11.002 ◽

2012 ◽

Vol 61 ◽

pp. 77-85 ◽

Author(s):

F. Bassi ◽

L. Botti ◽

A. Colombo ◽

S. Rebay

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Galerkin Discretization

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Global convergence strategies for a spectral-element space-time discontinuous-Galerkin discretization of the Navier Stokes–equations

International Journal of Computational Fluid Dynamics ◽

10.1080/10618562.2016.1250348 ◽

2016 ◽

Vol 30 (6) ◽

pp. 444-449

Author(s):

Marco A. Ceze ◽

Scott M. Murman

Keyword(s):

Global Convergence ◽

Discontinuous Galerkin ◽

Stokes Equations ◽

Spectral Element ◽

Navier Stokes ◽

Element Space ◽

Navier Stokes Equations ◽

Galerkin Discretization

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