Implicit time advancing combined with two finite-volume methods in the simulation of morphodynamic flows

DOI10.1016/J.MATCOM.2013.07.002OpenAlexW2037360952MaRDI QIDQ2229837

Hervé Guillard, Marco Bilanceri, Maria-Vittoria Salvetti, Imad Elmahi, François Beux

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2013.07.002

zbMATH Keywords

defect correctionshallow waterfinite-volume schemesimplicit time advancingExner equationmorphodynamic flows

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items (1)

Element-free Galerkin method for numerical simulation of sediment transport equations on regular and irregular distribution of nodes

Uses Software

• TAPENADE

Cites Work

• Sediment transport models in shallow water equations and numerical approach by high order finite volume methods
• Comparison of unstructured finite-volume morphodynamic models in contracting channel flows
• High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems
• Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes
• Upwind methods for hyperbolic conservation laws with source terms
• Formulations for numerically approximating hyperbolic systems governing sediment transport
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Linearized implicit time advancing and defect correction applied to sediment transport simulations
• Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes
• A sign matrix based scheme for non-homogeneous PDE's with an analysis of the convergence stagnation phenomenon
• A second order defect correction scheme for unsteady problems
• A two-dimensional finite volume morphodynamic model on unstructured triangular grids
• Solution of the Sediment Transport Equations Using a Finite Volume Method Based on Sign Matrix
• Total variation diminishing Runge-Kutta schemes
• Mathematical Development and Verification of a Finite Volume Model for Morphodynamic Flow Applications

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