A linear ADI method for the shallow-water equations

DOI10.1016/0021-9991(80)90001-7zbMath0454.76032OpenAlexW2142144910MaRDI QIDQ1149849

Graeme Fairweather, I. Michael Navon

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9991(80)90001-7

zbMATH Keywords

shallow-water equationspotential enstrophyalternating-direction implicit methodlinear ADI method

Mathematics Subject Classification ID

Applications to the sciences (65Z05) Incompressible inviscid fluids (76B99)

Related Items (7)

POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation ⋮ A Numerov-Galerkin technique applied to a finite-element shallow-water equations model with enforced conservation of integral invariants and selective lumping ⋮ Nonlinear model reduction: a comparison between POD-Galerkin and POD-DEIM methods ⋮ Finite-element schemes for extended integrations of atmospheric models ⋮ Estimation of spatially varying open boundary conditions for a numerical internal tidal model with adjoint method ⋮ A three‐dimensional numerical internal tidal model involving adjoint method ⋮ Progress in computational physics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distributions and nonlinear partial differential equations
• A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
• An alternating direction implicit method for solving the shallow water equations
• On Certain Finite Difference Schemes for Hyperbolic Systems
• Optimality in a Class of Rootfinding Algorithms

This page was built for publication: A linear ADI method for the shallow-water equations