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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High-Order Space-time Discontinuous Galerkin Cell Vertex Scheme toward Compressible Navier Stokes Equations

10.21236/ada567654 ◽

2012 ◽

Author(s):

Shuangzhang Tu

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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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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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 ◽

Navier Stokes ◽

Galerkin Methods ◽

Navier Stokes Equations ◽

Boundary Treatment

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On the stability of projection methods for the incompressible Navier–Stokes equations based on high-order discontinuous Galerkin discretizations

Journal of Computational Physics ◽

10.1016/j.jcp.2017.09.031 ◽

2017 ◽

Vol 351 ◽

pp. 392-421 ◽

Author(s):

Niklas Fehn ◽

Wolfgang A. Wall ◽

Martin Kronbichler

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Projection Methods ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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High-order time stepping for the Navier–Stokes equations with minimal computational complexity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.04.033 ◽

2017 ◽

Vol 310 ◽

pp. 92-103 ◽

Author(s):

Jean-Luc Guermond ◽

Peter D. Minev

Keyword(s):

Computational Complexity ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Stepping ◽

High Order Time

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Staggered grids hybrid-dual spectral element method for second-order elliptic problems application to high-order time splitting methods for Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(98)00069-3 ◽

1998 ◽

Vol 166 (3-4) ◽

pp. 183-199 ◽

Author(s):

M. Azaïez ◽

F.Ben Belgacem ◽

M. Grundmann ◽

H. Khallouf

Keyword(s):

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Splitting Methods ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Splitting ◽

High Order Time ◽

Second Order Elliptic Problems

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High order time discretisation methods for incompressible Navier-Stokes equations

PAMM ◽

10.1002/pamm.201610368 ◽

2016 ◽

Vol 16 (1) ◽

pp. 759-760

Author(s):

Joachim Rang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Discretisation ◽

High Order Time

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On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.10.002 ◽

2017 ◽

Vol 328 ◽

pp. 301-343 ◽

Author(s):

Xiangxiong Zhang

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Positivity Preserving ◽

Navier Stokes Equations

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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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