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

Quentin Araud; Pascal Finaud-Guyot; Vincent Guinot; Robert Mosé; José Vazquez

doi:10.1002/fld.3645

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 ◽

Cited By ~ 5

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 staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.02.041 ◽

2013 ◽

Vol 219 (15) ◽

pp. 8057-8077 ◽

Cited By ~ 10

Author(s):

Michael Dumbser ◽

Vincenzo Casulli

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme

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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 ◽

Cited By ~ 23

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 ◽

Runge Kutta

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Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Journal of Computational Physics ◽

10.1016/j.jcp.2018.02.008 ◽

2018 ◽

Vol 362 ◽

pp. 425-448 ◽

Cited By ~ 13

Author(s):

Boris Bonev ◽

Jan S. Hesthaven ◽

Francis X. Giraldo ◽

Michal A. Kopera

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Tsunami Modeling ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

Modeling And Prediction

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Implicit Discontinuous Galerkin Scheme for Discontinuous Bathymetry in Shallow Water Equations

KSCE Journal of Civil Engineering ◽

10.1007/s12205-020-2409-8 ◽

2020 ◽

Vol 24 (9) ◽

pp. 2694-2705

Author(s):

Haegyun Lee

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme

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Implicit discontinuous Galerkin scheme for shallow water equations

Journal of Mechanical Science and Technology ◽

10.1007/s12206-019-0625-2 ◽

2019 ◽

Vol 33 (7) ◽

pp. 3301-3310 ◽

Cited By ~ 2

Author(s):

Haegyun Lee

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme

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An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2008.02.015 ◽

2008 ◽

Vol 227 (11) ◽

pp. 5649-5670 ◽

Cited By ~ 32

Author(s):

Frieder Lörcher ◽

Gregor Gassner ◽

Claus-Dieter Munz

Keyword(s):

Discontinuous Galerkin ◽

Local Time ◽

Diffusion Equations ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping

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An Explicit Space-Time Discontinuous Galerkin Scheme with Local Time-Stepping for Unsteady Flows

Notes on Numerical Fluid Mechanics and Multidisciplinary Design - New Results in Numerical and Experimental Fluid Mechanics VII ◽

10.1007/978-3-642-14243-7_19 ◽

2010 ◽

pp. 151-158

Author(s):

Christoph Altmann ◽

Gregor Gassner ◽

Frieder Lörcher ◽

Arne Taube ◽

Jens Utzmann ◽

...

Keyword(s):

Discontinuous Galerkin ◽

Local Time ◽

Unsteady Flows ◽

Space Time ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping

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Cavity Simulations Using an Explicit Discontinuous Galerkin Scheme with Local Time-Stepping

Notes on Numerical Fluid Mechanics and Multidisciplinary Design - New Results in Numerical and Experimental Fluid Mechanics VIII ◽

10.1007/978-3-642-35680-3_82 ◽

2013 ◽

pp. 689-697

Author(s):

Arne Taube ◽

Gregor Gassner ◽

Claus-Dieter Munz

Keyword(s):

Discontinuous Galerkin ◽

Local Time ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping

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A P-adaptive Discontinuous Galerkin Method Using Local Time-stepping Strategy Applied to the Shallow Water Equations

Journal of Information and Computational Science ◽

10.12733/jics20101790 ◽

2013 ◽

Vol 10 (8) ◽

pp. 2199-2210 ◽

Cited By ~ 1

Author(s):

Dingfang Li

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Local Time ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Time Stepping ◽

Local Time Stepping

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A space-time expansion discontinuous Galerkin scheme with local time-stepping for the ideal and viscous MHD equations

2008 IEEE 35th International Conference on Plasma Science ◽

10.1109/plasma.2008.4590752 ◽

2008 ◽

Author(s):

Ch. Altmann ◽

G. Gassner ◽

F. Lorcher ◽

C.-D. Munz

Keyword(s):

Discontinuous Galerkin ◽

Local Time ◽

Space Time ◽

Mhd Equations ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping ◽

Time Expansion ◽

The Ideal

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