A stratified dispersive wave model with high-order nonreflecting boundary conditions
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Authors
van Joolen, V.
Neta, Beny
Givoli, D,
Subjects
wave equation
nonreflecting boundary conditions
stratification
finite difference
dispersion
nonreflecting boundary conditions
stratification
finite difference
dispersion
Advisors
Date of Issue
2004
Date
Publisher
Elsevier
Language
Abstract
A layered-model in introduced to approximate the effects of stratification on linearized shallow wave equations. This time-dependent dispersive wave model is appropriate for describing geophysical (e.g. atmmospheric or oceanic) dynamics. However, computational models that embrace these very large domains that are global in magnitude can quickly overwhelm computer capabilities. The domain is therefore truncated via artificial boundaries, and nonreflecting boundary conditions (NRBC) devised by Higdon are imposed. A scheme previously proposed by Neta and Givoli that easily discretizes high-order Higdon NRBCs is used. The problem is solved by finite difference (FD) methods. Numerical examples follow the discussion.
Type
Article
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Computers and Mathematics with Applications, 48, (2004), pp.1167-1180
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.