A vertical/horizontal splitting algorithm for three-dimensional tidal and storm surge computations

DOI10.1098/rspa.1990.0091zbMath0703.76013OpenAlexW1982421346MaRDI QIDQ3482954

No author found.

Publication date: 1990

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1990.0091

zbMATH Keywords

finite difference schemeshallow-water equationstidessurface elevationmomentum equationsdepth-averaged velocity componentsstorm surgesgeneralized Crank-Nicolson schemethird-order local truncation errorsthree-dimensional velocity fields

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items (7)

An appropriate algorithm in parallel computations for three-dimensional hydro-dynamics ⋮ Optimal assimilation of current and surface elevation data in a two-dimensional numerical tidal model ⋮ On the computation of flows driven by density gradient: Residual currents in the Arabian Gulf ⋮ Variational parameter estimation for a two-dimensional numerical tidal model ⋮ An algorithm for three-dimensional convection and diffusion with very different horizontal and vertical length scales ⋮ A hybrid spectral method for the three-dimensional numerical modelling of nonlinear flows in shallow seas ⋮ Optimal control of open boundary conditions for a numerical tidal model

This page was built for publication: A vertical/horizontal splitting algorithm for three-dimensional tidal and storm surge computations