High-Performance Implementation of Discontinuous Galerkin Methods with Application in Fluid Flow

Efficient High-Order Discretizations for Computational Fluid Dynamics - CISM International Centre for Mechanical Sciences ◽

10.1007/978-3-030-60610-7_2 ◽

2021 ◽

pp. 57-115

Author(s):

Martin Kronbichler

Keyword(s):

Fluid Flow ◽

Discontinuous Galerkin ◽

High Performance ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Comparison of high-order continuous and hybridizable discontinuous Galerkin methods for incompressible fluid flow problems

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2018.05.012 ◽

2018 ◽

Vol 153 ◽

pp. 35-58 ◽

Cited By ~ 6

Author(s):

Mahendra Paipuri ◽

Sonia Fernández-Méndez ◽

Carlos Tiago

Keyword(s):

Fluid Flow ◽

Incompressible Fluid ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Incompressible Fluid Flow ◽

Flow Problems ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Order Continuous

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Automatic Code Generation for High-performance Discontinuous Galerkin Methods on Modern Architectures

ACM Transactions on Mathematical Software ◽

10.1145/3424144 ◽

2021 ◽

Vol 47 (1) ◽

pp. 1-31

Author(s):

Dominic Kempf ◽

René Heß ◽

Steffen Müthing ◽

Peter Bastian

Keyword(s):

Discontinuous Galerkin ◽

Code Generation ◽

High Performance ◽

Discontinuous Galerkin Methods ◽

Automatic Code Generation ◽

Galerkin Methods ◽

Automatic Code

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Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow

Mathematics of Computation ◽

10.1090/mcom/3312 ◽

2018 ◽

Vol 88 (315) ◽

pp. 91-121 ◽

Cited By ~ 4

Author(s):

Haijin Wang ◽

Yunxian Liu ◽

Qiang Zhang ◽

Chi-Wang Shu

Keyword(s):

Fluid Flow ◽

Incompressible Fluid ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Galerkin Methods ◽

Incompressible Fluid Flow ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Time Marching

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Device Modeling Using Discontinuous Galerkin Methods for Fluid Plasmas

40th AIAA Plasmadynamics and Lasers Conference ◽

10.2514/6.2009-3834 ◽

2009 ◽

Author(s):

John Loverich ◽

Ammar Hakim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Device Modeling ◽

Galerkin Methods

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Regionally implicit discontinuous Galerkin methods for solving the relativistic Vlasov-Maxwell system

10.31274/etd-180810-5144 ◽

2017 ◽

Author(s):

Pierson Guthrey

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Maxwell System

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A Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-01007-z ◽

2019 ◽

Vol 80 (3) ◽

pp. 1936-1956 ◽

Cited By ~ 3

Author(s):

Ali Samii ◽

Kazbek Kazhyken ◽

Craig Michoski ◽

Clint Dawson

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Hybridizable Discontinuous Galerkin ◽

Nonlinear Shallow Water Equations ◽

Hybridizable Discontinuous Galerkin Methods

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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251403004x ◽

2014 ◽

Vol 54 (3) ◽

pp. 474-490 ◽

Cited By ~ 5

Author(s):

R. Z. Dautov ◽

E. M. Fedotov

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Abstract Theory ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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Local-Maximum-and-Minimum-Preserving Solution Remapping Technique to Accelerate Flow Convergence for Discontinuous Galerkin Methods in Shape Optimization Design

Journal of Scientific Computing ◽

10.1007/s10915-021-01499-8 ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Jufang Wang ◽

Tiegang Liu

Keyword(s):

Shape Optimization ◽

Discontinuous Galerkin ◽

Optimization Design ◽

Discontinuous Galerkin Methods ◽

Local Maximum ◽

Galerkin Methods ◽

Accelerate Flow ◽

Flow Convergence

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Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01370-2 ◽

2021 ◽

Vol 86 (1) ◽

Author(s):

Chao Zhang ◽

Yan Xu ◽

Yinhua Xia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Dispersive System ◽

Kdv Type Equations

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Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

Numerische Mathematik ◽

10.1007/s00211-021-01209-4 ◽

2021 ◽

Author(s):

Kailiang Wu ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Physical Constraint

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