A wetting and drying treatment for the Runge–Kutta discontinuous Galerkin solution to the shallow water equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.01.008 ◽

2009 ◽

Vol 198 (17-20) ◽

pp. 1548-1562 ◽

Author(s):

Shintaro Bunya ◽

Ethan J. Kubatko ◽

Joannes J. Westerink ◽

Clint Dawson

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Wetting And Drying ◽

Drying Treatment ◽

Galerkin Solution ◽

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Development of an efficient wetting and drying treatment for shallow‐water modeling using the quadrature‐free Runge‐Kutta discontinuous Galerkin method

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4884 ◽

2020 ◽

Author(s):

Longxiang Li ◽

Qinghe Zhang

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Water Modeling ◽

Wetting And Drying ◽

Drying Treatment ◽

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Riemann Solvers with Runge–Kutta Discontinuous Galerkin Schemes for the 1D Shallow Water Equations

Journal of Hydraulic Engineering ◽

10.1061/(asce)0733-9429(2008)134:2(243) ◽

2008 ◽

Vol 134 (2) ◽

pp. 243-255 ◽

Author(s):

G. Kesserwani ◽

R. Ghostine ◽

J. Vazquez ◽

A. Ghenaim ◽

R. Mosé

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Riemann Solvers ◽

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Application of a second-order Runge–Kutta discontinuous Galerkin scheme for the shallow water equations with source terms

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1550 ◽

2008 ◽

Vol 56 (7) ◽

pp. 805-821 ◽

Author(s):

G. Kesserwani ◽

R. Ghostine ◽

J. Vazquez ◽

A. Ghenaim ◽

R. Mosé

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Second Order ◽

Source Terms ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

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High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110543 ◽

2021 ◽

pp. 110543

Author(s):

Ruize Yang ◽

Yang Yang ◽

Yulong Xing

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

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Dynamic p-adaptive Runge–Kutta discontinuous Galerkin methods for the shallow water equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.01.007 ◽

2009 ◽

Vol 198 (21-26) ◽

pp. 1766-1774 ◽

Author(s):

Ethan J. Kubatko ◽

Shintaro Bunya ◽

Clint Dawson ◽

Joannes J. Westerink

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

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A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1674 ◽

2008 ◽

Vol 58 (1) ◽

pp. 1-25 ◽

Author(s):

A. Ern ◽

S. Piperno ◽

K. Djadel

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Flooding And Drying ◽

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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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