A High Order Central DG method of the Two-Layer Shallow Water Equations

Communications in Computational Physics ◽

10.4208/cicp.oa-2019-0155 ◽

2020 ◽

Vol 28 (4) ◽

pp. 1437-1463

Author(s):

Yongping Cheng

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

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High-Order Higdon Non-Reflecting Boundary Conditions for the Shallow Water Equations

10.21236/ada401838 ◽

2002 ◽

Author(s):

Dan Givoli ◽

Beny Neta

Keyword(s):

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

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A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction

Computers & Fluids ◽

10.1016/j.compfluid.2021.105152 ◽

2021 ◽

pp. 105152

Author(s):

Victor Michel-Dansac ◽

Christophe Berthon ◽

Stéphane Clain ◽

Françoise Foucher

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

Two Dimensional

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Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods

Computers & Fluids ◽

10.1016/j.compfluid.2007.07.017 ◽

2008 ◽

Vol 37 (3) ◽

pp. 299-316 ◽

Author(s):

M.J. Castro Díaz ◽

E.D. Fernández-Nieto ◽

A.M. Ferreiro

Keyword(s):

Sediment Transport ◽

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Numerical Approach ◽

Finite Volume Methods ◽

Transport Models

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A high-order augmented Riemann solver for the treatment of bottom steps and porosity discontinuities in the shallow water equations with porosity

River Flow 2020 ◽

10.1201/b22619-155 ◽

2020 ◽

pp. 1104-1113

Author(s):

A. Ferrari ◽

R. Vacondio ◽

P. Mignosa

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

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On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas

Journal of Computational Physics ◽

10.1016/j.jcp.2007.08.007 ◽

2007 ◽

Vol 227 (1) ◽

pp. 574-601 ◽

Author(s):

José M. Gallardo ◽

Carlos Parés ◽

Manuel Castro

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Scheme ◽

Volume Scheme ◽

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A variational approach to the derivation of high-order shallow-water equations

Il Nuovo Cimento C ◽

10.1007/bf02508584 ◽

1994 ◽

Vol 17 (2) ◽

pp. 175-189 ◽

Author(s):

F. Mattioli

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

Variational Approach ◽

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High-order boundary conditions for linearized shallow water equations with stratification, dispersion and advection

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.754 ◽

2004 ◽

Vol 46 (4) ◽

pp. 361-381 ◽

Author(s):

Vince J. van Joolen ◽

Beny Neta ◽

Dan Givoli

Keyword(s):

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

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Nodal High-Order Discontinuous Galerkin Methods for the Spherical Shallow Water Equations

Journal of Computational Physics ◽

10.1006/jcph.2002.7139 ◽

2002 ◽

Vol 181 (2) ◽

pp. 499-525 ◽

Author(s):

F.X. Giraldo ◽

J.S. Hesthaven ◽

T. Warburton

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Fast and high-order solutions to the spherical shallow water equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(99)00083-5 ◽

2000 ◽

Vol 33 (1-4) ◽

pp. 191-197

Author(s):

William F. Spotz ◽

Mark A. Taylor ◽

Paul N. Swarztrauber

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

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High order well-balanced discontinuous Galerkin methods based on hydrostatic reconstruction for shallow water equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.10.027 ◽

2018 ◽

Vol 340 ◽

pp. 546-560 ◽

Author(s):

Gang Li ◽

Lina Song ◽

Jinmei Gao

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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