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 ◽

Author(s):

N.C. Nguyen ◽

J. Peraire ◽

B. 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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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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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 ◽

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 ◽

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 ◽

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 ◽

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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A parallel hp-adaptive high order discontinuous Galerkin method for the incompressible Navier-Stokes equations

Journal of Computational Physics X ◽

10.1016/j.jcpx.2019.100023 ◽

2019 ◽

Vol 2 ◽

pp. 100023

Author(s):

N. Chalmers ◽

G. Agbaglah ◽

M. Chrust ◽

C. Mavriplis

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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A high-order discontinuous Galerkin method for the unsteady incompressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2006.07.029 ◽

2007 ◽

Vol 222 (1) ◽

pp. 391-407 ◽

Author(s):

Khosro Shahbazi ◽

Paul F. Fischer ◽

C. Ross Ethier

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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A high‐order discontinuous Galerkin method for the incompressible Navier‐Stokes equations on arbitrary grids

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4718 ◽

2019 ◽

Vol 90 (5) ◽

pp. 217-246 ◽

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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Assessment of a high-order discontinuous Galerkin method for incompressible three-dimensional Navier–Stokes equations: Benchmark results for the flow past a sphere up to Re=500

Computers & Fluids ◽

10.1016/j.compfluid.2013.07.027 ◽

2013 ◽

Vol 86 ◽

pp. 442-458 ◽

Author(s):

Andrea Crivellini ◽

Valerio D’Alessandro ◽

Francesco Bassi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Flow Past ◽

Flow Past A Sphere

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A high‐order nodal discontinuous Galerkin method to solve preconditioned multiphase Euler/Navier‐Stokes equations for inviscid/viscous cavitating flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4792 ◽

2020 ◽

Vol 92 (5) ◽

pp. 478-508

Author(s):

Mahya Hajihassanpour ◽

Kazem Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Cavitating Flows ◽

Navier Stokes Equations ◽

Nodal Discontinuous Galerkin Method

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