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

D. M. Williams

doi:10.1090/mcom/3199

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 ◽

Cited By ~ 7

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 ◽

Entropy Stable

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An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2010.10.032 ◽

2011 ◽

Vol 230 (4) ◽

pp. 1147-1170 ◽

Cited By ~ 143

Author(s):

N.C. Nguyen ◽

J. Peraire ◽

B. Cockburn

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations

Mathematics of Computation ◽

10.1090/mcom/3195 ◽

2016 ◽

Vol 86 (306) ◽

pp. 1643-1670 ◽

Cited By ~ 34

Author(s):

Aycil Cesmelioglu ◽

Bernardo Cockburn ◽

Weifeng Qiu

Keyword(s):

Steady State ◽

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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A Hybridizable Discontinuous Galerkin Method for the Compressible Euler and Navier-Stokes Equations

48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2010-363 ◽

2010 ◽

Cited By ~ 42

Author(s):

Jaime Peraire ◽

Ngoc Nguyen ◽

Bernardo Cockburn

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Hybridizable Discontinuous Galerkin ◽

Compressible Euler ◽

Hybridizable Discontinuous Galerkin Method

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A Hybridizable Discontinuous Galerkin Method for the Incompressible Navier-Stokes Equations

48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2010-362 ◽

2010 ◽

Cited By ~ 20

Author(s):

Ngoc Nguyen ◽

Jaime Peraire ◽

Bernardo Cockburn

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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A Hybridizable Discontinuous Galerkin Method for the Navier–Stokes Equations with Pointwise Divergence-Free Velocity Field

Journal of Scientific Computing ◽

10.1007/s10915-018-0671-4 ◽

2018 ◽

Vol 76 (3) ◽

pp. 1484-1501 ◽

Cited By ~ 26

Author(s):

Sander Rhebergen ◽

Garth N. Wells

Keyword(s):

Velocity Field ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method ◽

Divergence Free

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An Implicit Discontinuous Galerkin Method for the Unsteady Compressible Navier-Stokes Equations

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

10.2514/6.2009-951 ◽

2009 ◽

Cited By ~ 2

Author(s):

Hong Luo ◽

Hidehiro Segawa ◽

Miguel Visbal

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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A direct discontinuous Galerkin method for the incompressible Navier–Stokes equations on arbitrary grids

Journal of Computational Physics ◽

10.1016/j.jcp.2018.11.033 ◽

2019 ◽

Vol 380 ◽

pp. 269-294 ◽

Cited By ~ 9

Author(s):

Fan Zhang ◽

Jian Cheng ◽

Tiegang Liu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Numerical solution of the Navier-Stokes equations by discontinuous Galerkin method

Journal of Physics Conference Series ◽

10.1088/1742-6596/815/1/012015 ◽

2017 ◽

Vol 815 ◽

pp. 012015 ◽

Cited By ~ 3

Author(s):

M M Krasnov ◽

P A Kuchugov ◽

M E Ladonkina ◽

A E Lutsky ◽

V F Tishkin

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Parallel Accelerator for Discontinuous Galerkin Method for Navier-Stokes Equations

Advances in Systems Engineering - Lecture Notes in Networks and Systems ◽

10.1007/978-3-030-92604-5_41 ◽

2021 ◽

pp. 467-476

Author(s):

Tadeusz Tomczak ◽

Mariusz Księżyk ◽

Maciej Marek ◽

Jacek Hanke ◽

Marek Kostur

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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An exactly mass conserving space-time embedded-hybridized discontinuous Galerkin method for the Navier–Stokes equations on moving domains

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109577 ◽

2020 ◽

Vol 417 ◽

pp. 109577 ◽

Cited By ~ 1

Author(s):

Tamás L. Horváth ◽

Sander Rhebergen

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Space Time ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Hybridized Discontinuous Galerkin Method ◽

Moving Domains

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