A central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channels

DOI10.1051/m2an/2021052zbMath1485.76057arXiv2104.02915OpenAlexW3196351540WikidataQ109042104 ScholiaQ109042104MaRDI QIDQ5034808

Gerardo Hernández-Dueñas, Jorge Balbás

Publication date: 21 February 2022

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.02915

zbMATH Keywords

conservation law balance law semi-discrete scheme hyperbolic system Saint-Venant equations non-oscillatory reconstruction asymptotic eigenvalue estimate irregular channel geometry

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Finite volume methods applied to problems in fluid mechanics (76M12)

Cites Work

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A well-balanced reconstruction of wet/dry fronts for the shallow water equations
Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system
A comment on the computation of non-conservative products
Numerical simulation of two-layer shallow water flows through channels with irregular geometry.
On numerical treatment of the source terms in the shallow water equations
A kinetic scheme for the Saint-Venant system with a source term
Definition and weak stability of nonconservative products
A non-oscillatory central scheme for one-dimensional two-layer shallow water flows along channels with varying width
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
Models and methods for two-layer shallow water flows
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
Improved FVM for two-layer shallow-water models: application to the strait of Gibraltar
Strong Stability-Preserving High-Order Time Discretization Methods
AQ-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment
Two-Layer Shallow Water System: A Relaxation Approach
Central-Upwind Schemes for Two-Layer Shallow Water Equations
A central scheme for shallow water flows along channels with irregular geometry
Central-Upwind Schemes for the Saint-Venant System
A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
GRAPH SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS
Modeling Shallow Water Flows Using the Discontinuous Galerkin Method
A positivity preserving central scheme for shallow water flows in channels with wet-dry states
THREE-LAYER APPROXIMATION OF TWO-LAYER SHALLOW WATER EQUATIONS

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