Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110723 ◽

2021 ◽

pp. 110723

Author(s):

Jesse Chan ◽

Yimin Lin ◽

Tim Warburton

Keyword(s):

Boundary Conditions ◽

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Wall Boundary ◽

Wall Boundary Conditions ◽

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Entropy stable wall boundary conditions for the three-dimensional compressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2015.03.026 ◽

2015 ◽

Vol 292 ◽

pp. 88-113 ◽

Author(s):

Matteo Parsani ◽

Mark H. Carpenter ◽

Eric J. Nielsen

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Wall Boundary ◽

Wall Boundary Conditions ◽

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Conservative and entropy stable solid wall boundary conditions for the compressible Navier–Stokes equations: Adiabatic wall and heat entropy transfer

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.051 ◽

2019 ◽

Vol 397 ◽

pp. 108775 ◽

Author(s):

Lisandro Dalcin ◽

Diego Rojas ◽

Stefano Zampini ◽

David C. Del Rey Fernández ◽

Mark H. Carpenter ◽

...

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Adiabatic Wall ◽

Navier Stokes Equations ◽

Wall Boundary ◽

Wall Boundary Conditions ◽

Entropy Transfer ◽

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An adjoint view on flux consistency and strong wall boundary conditions to the Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2015.08.022 ◽

2015 ◽

Vol 301 ◽

pp. 247-264 ◽

Author(s):

Arthur Stück

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Wall Boundary ◽

Wall Boundary Conditions

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Stable Robin solid wall boundary conditions for the Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2011.06.027 ◽

2011 ◽

Vol 230 (19) ◽

pp. 7519-7532 ◽

Author(s):

Jens Berg ◽

Jan Nordström

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Wall Boundary ◽

Wall Boundary Conditions

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The Influence of Viscous Operator and Wall Boundary Conditions on the Accuracy of the Navier-Stokes Equations

10.2514/6.2013-2956 ◽

2013 ◽

Author(s):

Peter Eliasson ◽

Jan Nordstrom

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Wall Boundary ◽

Wall Boundary Conditions

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Influence of Weak and Strong Solid Wall Boundary Conditions on the Convergence to Steady-State of the Navier-Stokes Equations

19th AIAA Computational Fluid Dynamics ◽

10.2514/6.2009-3551 ◽

2009 ◽

Author(s):

Peter Eliasson ◽

Sofia Eriksson ◽

Jan Nordström

Keyword(s):

Steady State ◽

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Wall Boundary ◽

Wall Boundary Conditions ◽

Convergence To Steady State

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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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An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations

Mathematics of Computation ◽

10.1090/mcom/3199 ◽

2017 ◽

Vol 87 (309) ◽

pp. 95-121 ◽

Author(s):

D. M. Williams

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method ◽

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Entropy stable Discontinuous Galerkin Scheme for the compressible Navier-Stokes Equations

55th AIAA Aerospace Sciences Meeting ◽

10.2514/6.2017-0084 ◽

2017 ◽

Author(s):

Mohammad Zakerzadeh ◽

Georg May

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

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An entropy–stable discontinuous Galerkin approximation for the incompressible Navier–Stokes equations with variable density and artificial compressibility

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109241 ◽

2020 ◽

Vol 408 ◽

pp. 109241 ◽

Author(s):

Juan Manzanero ◽

Gonzalo Rubio ◽

David A. Kopriva ◽

Esteban Ferrer ◽

Eusebio Valero

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Galerkin Approximation ◽

Variable Density ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Artificial Compressibility ◽

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