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

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 ◽

Cited By ~ 6

Author(s):

Vince J. van Joolen ◽

Beny Neta ◽

Dan Givoli

Keyword(s):

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

High Order

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High-order nonreflecting boundary conditions for the dispersive shallow water equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(03)00462-x ◽

2003 ◽

Vol 158 (1) ◽

pp. 49-60 ◽

Cited By ~ 19

Author(s):

Dan Givoli ◽

Beny Neta

Keyword(s):

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

High Order ◽

Nonreflecting Boundary Conditions

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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 ◽

High Order ◽

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 ◽

Cited By ~ 87

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 ◽

High Order ◽

Transport Models

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Well-posed transparent boundary conditions for the shallow water equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(01)00045-9 ◽

2001 ◽

Vol 38 (4) ◽

pp. 445-474 ◽

Cited By ~ 12

Author(s):

Ivar Lie

Keyword(s):

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

Transparent Boundary Conditions ◽

Well Posed

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Transparent boundary conditions for the shallow water equations with a mixed finite element formulation

Applied Numerical Mathematics ◽

10.1016/s0168-9274(02)00140-x ◽

2003 ◽

Vol 44 (1-2) ◽

pp. 109-138 ◽

Cited By ~ 3

Author(s):

Astrid Holstad ◽

Ivar Lie

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

Mixed Finite Element ◽

Finite Element Formulation ◽

Element Formulation ◽

Transparent Boundary Conditions

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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 ◽

High Order ◽

Riemann Solver

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A new approach to solving boundary conditions in shallow water equations using a Riemann solver

River Flow 2006 ◽

10.1201/9781439833865.ch154 ◽

2006 ◽

Author(s):

V Medina Iglesias ◽

A Bateman Pinzon ◽

D Velasco Montes

Keyword(s):

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

Riemann Solver ◽

New Approach

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Energy–enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2018.06.071 ◽

2018 ◽

Vol 373 ◽

pp. 171-187 ◽

Cited By ~ 7

Author(s):

W. Bauer ◽

C.J. Cotter

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

Slip Boundary Conditions ◽

Slip Boundary ◽

Rotating Shallow Water ◽

Finite Element Schemes ◽

Rotating Shallow Water Equations

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Finite Element Approximations to the System of Shallow Water Equations, Part III: On the Treatment of Boundary Conditions

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142998341623 ◽

2000 ◽

Vol 38 (1) ◽

pp. 149-159 ◽

Cited By ~ 2

Author(s):

Clint N. Dawson ◽

Mónica L. Martínez-Canales

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

Finite Element Approximations

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