Discontinuous Galerkin discretization of shallow water equations in implicit primal formulations for turbulent stresses

Journal of Mechanical Science and Technology ◽

10.1007/s12206-021-0518-z ◽

2021 ◽

Author(s):

Haegyun Lee

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Galerkin Discretization

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Space–time discontinuous Galerkin discretization of rotating shallow water equations

Journal of Computational Physics ◽

10.1016/j.jcp.2007.01.036 ◽

2007 ◽

Vol 225 (2) ◽

pp. 1233-1261 ◽

Author(s):

V.R. Ambati ◽

O. Bokhove

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Galerkin Discretization ◽

Rotating Shallow Water ◽

Rotating Shallow Water Equations

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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 ◽

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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Positivity-Preserving Well-Balanced Arbitrary Lagrangian–Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-021-01578-w ◽

2021 ◽

Vol 88 (3) ◽

Author(s):

Weijie Zhang ◽

Yinhua Xia ◽

Yan Xu

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Arbitrary Lagrangian Eulerian ◽

Positivity Preserving

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Flooding and Drying in Discontinuous Galerkin Finite-Element Discretizations of Shallow-Water Equations. Part 1: One Dimension

Journal of Scientific Computing ◽

10.1007/s10915-004-4136-6 ◽

2005 ◽

Vol 22-23 (1-3) ◽

pp. 47-82 ◽

Author(s):

Onno Bokhove

Keyword(s):

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

One Dimension ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Finite Element Discretizations ◽

Flooding And Drying ◽

Element Discretizations

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An eigenvector-based linear reconstruction approach for time stepping in discontinuous Galerkin scheme used to solve shallow water equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3645 ◽

2012 ◽

Vol 70 (12) ◽

pp. 1590-1604 ◽

Author(s):

Quentin Araud ◽

Pascal Finaud-Guyot ◽

Vincent Guinot ◽

Robert Mosé ◽

José Vazquez

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Linear Reconstruction

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A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.07.014 ◽

2016 ◽

Vol 272 ◽

pp. 291-308 ◽

Author(s):

Gregor J. Gassner ◽

Andrew R. Winters ◽

David A. Kopriva

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Spectral Element Method ◽

Spectral Element ◽

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A discontinuous Galerkin algorithm for the two-dimensional shallow water equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.07.007 ◽

2010 ◽

Vol 199 (49-52) ◽

pp. 3356-3368 ◽

Author(s):

Georges Kesserwani ◽

Qiuhua Liang

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Two Dimensional

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A Discontinuous Galerkin Method for the Shallow Water Equations with Source Terms

Lecture Notes in Computational Science and Engineering - Discontinuous Galerkin Methods ◽

10.1007/978-3-642-59721-3_42 ◽

2000 ◽

pp. 419-424 ◽

Author(s):

Dirk Schwanenberg ◽

Jürgen Köngeter

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

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Well-Balanced Discontinuous Galerkin Method for Shallow Water Equations with Constant Subtraction Techniques on Unstructured Meshes

Journal of Scientific Computing ◽

10.1007/s10915-019-01073-3 ◽

2019 ◽

Vol 81 (3) ◽

pp. 2115-2131

Author(s):

Huijing Du ◽

Yingjie Liu ◽

Yuan Liu ◽

Zhiliang Xu

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Unstructured Meshes

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Quadrature-free discontinuous Galerkin method with code generation features for shallow water equations on automatically generated block-structured meshes

Advances in Water Resources ◽

10.1016/j.advwatres.2020.103552 ◽

2020 ◽

Vol 138 ◽

pp. 103552 ◽

Author(s):

Sara Faghih-Naini ◽

Sebastian Kuckuk ◽

Vadym Aizinger ◽

Daniel Zint ◽

Roberto Grosso ◽

...

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Code Generation ◽

Shallow Water Equations ◽

Structured Meshes ◽

Block Structured

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