An unconditionally stable scheme for the shallow water equations

Publication Status is "Submitted" Or "In Press: 
LDEO Publication: 
Publication Type: 
Year of Publication: 
2000
Editor: 
Journal Title: 
Monthly Weather Review
Journal Date: 
Mar
Place Published: 
Tertiary Title: 
Volume: 
128
Issue: 
3
Pages: 
810-823
Section / Start page: 
Publisher: 
ISBN Number: 
0027-0644
ISSN Number: 
Edition: 
Short Title: 
Accession Number: 
ISI:000086632400015
LDEO Publication Number: 
Call Number: 
Key Words: 
Abstract: 

A finite-difference scheme for solving the linear shallow water equations in a bounded domain is described. Its time step is not restricted by a Courant-Friedrichs-Levy (CFL) condition. The scheme, known as Israeli-Naik-Cane (INC), is the offspring of semi-Lagrangian (SL) schemes and the Cane-Patton (Cr) algorithm. In common with the latter ii treats the shallow water equations implicitly in y and with attention to wave propagation in x. Unlike CP, it uses an SL-like approach to the zonal variations, which allows the scheme to apply to the full primitive equations. The great advantage, even in problems where quasigcostrophic dynamics are appropriate in the interior, is that the INC scheme accommodates complete boundary conditions.

Notes: 

307AZTimes Cited:3Cited References Count:5

DOI: