An $h$-Box Method for Shallow Water Equations Including Barriers

DOI10.1137/19M128363XzbMath1468.65125OpenAlexW3137151897MaRDI QIDQ4997354

Jiao Li, Kyle T. Mandli

Publication date: 29 June 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m128363x

zbMATH Keywords

conservation lawsshallow water equationsfinite volume\(h\)-box method

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

An all Froude high order IMEX scheme for the shallow water equations on unstructured Voronoi meshes

Cites Work

• Unnamed Item
• Ghost-cell method for analysis of inviscid three-dimensional flows on Cartesian-grids
• A higher-order boundary treatment for Cartesian-grid methods
• An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies
• An accuracy assessment of Cartesian-mesh approaches for the Euler equations
• A two-dimensional conservation laws scheme for compressible flows with moving boundaries
• An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
• Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation
• A Cartesian grid embedded boundary method for hyperbolic conservation laws
• A Simplified h-box Method for Embedded Boundary Grids
• A large Time Step Generalization of Godunov’s Method for Systems of Conservation Laws
• Large Time Step Shock-Capturing Techniques for Scalar Conservation Laws
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• H-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids
• High resolution numerical simulation of ideal and non-ideal compressible reacting flows with embedded internal boundaries
• A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions

This page was built for publication: An $h$-Box Method for Shallow Water Equations Including Barriers