A unified framework of continuous and discontinuous Galerkin methods for solving the incompressible Navier–Stokes equation

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109799 ◽

2020 ◽

Vol 422 ◽

pp. 109799

Author(s):

Xi Chen ◽

Yuwen Li ◽

Corina Drapaca ◽

John Cimbala

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equation ◽

Discontinuous Galerkin Methods ◽

Navier Stokes ◽

Galerkin Methods ◽

Unified Framework ◽

Navier Stokes Equation ◽

Incompressible Navier Stokes Equation

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An interior penalty discontinuous Galerkin approach for 3D incompressible Navier–Stokes equation for permeability estimation of porous media

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.052 ◽

2019 ◽

Vol 396 ◽

pp. 669-686 ◽

Author(s):

Chen Liu ◽

Florian Frank ◽

Faruk O. Alpak ◽

Béatrice Rivière

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Interior Penalty ◽

Galerkin Approach ◽

Permeability Estimation ◽

Incompressible Navier Stokes Equation

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Kinetic derivation of a finite difference scheme for the incompressible Navier–Stokes equation

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00857-9 ◽

2003 ◽

Vol 154 (2) ◽

pp. 341-354 ◽

Author(s):

Mapundi K. Banda ◽

Michael Junk ◽

Axel Klar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Stokes Equation ◽

Finite Difference Scheme ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Incompressible Navier Stokes Equation

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Interior penalty variational multiscale method for the incompressible Navier–Stokes equation: Monitoring artificial dissipation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.03.025 ◽

2007 ◽

Vol 196 (41-44) ◽

pp. 4045-4058 ◽

Author(s):

Erik Burman

Keyword(s):

Stokes Equation ◽

Multiscale Method ◽

Navier Stokes ◽

Variational Multiscale Method ◽

Navier Stokes Equation ◽

Interior Penalty ◽

Variational Multiscale ◽

Artificial Dissipation ◽

Incompressible Navier Stokes Equation

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Numerical Solution of the Incompressible Navier-Stokes Equation

An Introduction to Computational Fluid Mechanics by Example ◽

10.1002/9780470549162.ch4 ◽

2011 ◽

pp. 215-297

Keyword(s):

Numerical Solution ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Incompressible Navier Stokes Equation

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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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Investigation of the Oldroyd model as a generalized incompressible Navier–Stokes equation via the interpolating stabilized element free Galerkin technique

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.08.025 ◽

2020 ◽

Vol 150 ◽

pp. 274-294 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Oldroyd Model ◽

Galerkin Technique ◽

Element Free Galerkin ◽

Element Free ◽

Incompressible Navier Stokes Equation

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VANISHING VISCOSITY LIMIT OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATION (ABSTRACT)

Functional-Analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations ◽

10.1142/9789812794550_0022 ◽

2001 ◽

pp. 248-249

Author(s):

K. ASANO

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Vanishing Viscosity ◽

Vanishing Viscosity Limit ◽

Viscosity Limit ◽

Incompressible Navier Stokes Equation

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Adaptive Aerodynamic Design Optimization for Navier-Stokes Using Shape Derivatives with Discontinuous Galerkin Methods

Computational Methods in Applied Sciences - Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences ◽

10.1007/978-3-319-11541-2_9 ◽

2014 ◽

pp. 143-158 ◽

Author(s):

L. Kaland ◽

M. Sonntag ◽

N. R. Gauger

Keyword(s):

Design Optimization ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Navier Stokes ◽

Galerkin Methods ◽

Aerodynamic Design ◽

Shape Derivatives ◽

Aerodynamic Design Optimization

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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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Shape Identification for Incompressible Navier-Stokes Equation Using Bubble Function Element Stabilization Method

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2004.17.745 ◽

2004 ◽

Vol 2004.17 (0) ◽

pp. 745-746

Author(s):

Junichi MATSUMOTO

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Stabilization Method ◽

Navier Stokes Equation ◽

Shape Identification ◽

Bubble Function ◽

Function Element ◽

Incompressible Navier Stokes Equation

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