Shallow Water Moment Models for Bedload Transport Problems

DOI10.4208/cicp.OA-2020-0152zbMath1473.65138arXiv2008.08449OpenAlexW3177842461MaRDI QIDQ5163900

José Garres-Díaz, T. Morales de Luna, Julian Koellermeier, Manuel Jesús Castro-Díaz

Publication date: 9 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08449

zbMATH Keywords

finite volume methodhyperbolic systemsediment transportmoment approachshallow water Exner model

Mathematics Subject Classification ID

Computational methods for problems pertaining to geophysics (86-08) Initial value problems for first-order hyperbolic systems (35L45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with geophysics (35Q86)

Related Items (3)

Steady states and well-balanced schemes for shallow water moment equations with topography ⋮ Layer-averaged approximation of Navier–Stokes system with complex rheologies ⋮ A general vertical decomposition of Euler equations: multilayer-moment models

Uses Software

• PVM

Cites Work

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• A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
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• Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions
• On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
• Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

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