A primitive-variable Riemann method for solution of the shallow water equations with wetting and drying

DOI10.1016/j.jcp.2009.07.002zbMath1421.76176OpenAlexW2039475379MaRDI QIDQ733004

W. Roger Briley, Lafayette K. Taylor, Parimala Sivakumar, Daniel G. Hyams

Publication date: 15 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.07.002

zbMATH Keywords

boundary conditionsshallow water equationsunstructured gridprimitive variableswet/dry frontRiemann fluxparallel implicit algorithmgulf of Mexico

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35)

Related Items (3)

Performance and comparison of cell-centered and~node-centered unstructured finite volume discretizations for shallow water free surface flows ⋮ A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography ⋮ A stable 2D unstructured shallow flow model for simulations of wetting and drying over rough terrains

Uses Software

• METIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• An implicit upwing algorithm for computing turbulent flows on unstructured grids
• Stability, accuracy and efficiency of a semi-implicit method for three- dimensional shallow water flow
• Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver.
• On numerical treatment of the source terms in the shallow water equations
• High-resolution viscous flow simulations at arbitrary Mach number.
• An unstructured finite-volume algorithm for predicting flow in rivers and estuaries
• Efficient construction of high-resolution TVD conservative schemes for equations with source terms: application to shallow water flows
• A conservative 2D model of inundation flow with solute transport over dry bed
• Comparing analytical and numerical solution of nonlinear two and three-dimensional hydrostatic flows
• Some exact solutions to the nonlinear shallow-water wave equations
• Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes
• PRICE: primitive centred schemes for hyperbolic systems
• Zero mass error using unsteady wetting–drying conditions in shallow flows over dry irregular topography
• Approximation of shallow water equations by Roe's Riemann solver
• Analysis of a second‐order upwind method for the simulation of solute transport in 2D shallow water flow
• Flux difference splitting and the balancing of source terms and flux gradients
• The surface gradient method for the treatment of source terms in the shallow-water equations
• Construction of second-order TVD schemes for nonhomogeneous hyperbolic conservation laws

This page was built for publication: A primitive-variable Riemann method for solution of the shallow water equations with wetting and drying