High-order Higdon non-reflecting boundary conditions for the shallow water equations
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Authors
Givoli, Dan
Neta, Beny
Subjects
Fluid dynamics.
Boundary layer.
Water waves.
Boundary layer.
Water waves.
Advisors
Date of Issue
2002
Date
2002
Publisher
Monterey, CA; Naval Postgraduate School
Language
Abstract
In this report we document the implementation of high order Higdon nonreflecting boundary conditions. We suggest a way to choose the parameters and demonstrate numerically the efficiency of our choice. The model we used is the shallow water equations and as a special case the Klein-Gordon equation. These equations are solved by the finite difference method. We comment on the use of finite elements and demonstrate a new, more efficient method. The case of curved boundary is discussed. We close with a list of topics for research.
Type
Technical Report
Description
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
NPS-MA-02-001
Sponsors
Funder
FUNDED BY: N0001402WR20211.
Format
27 p.,: ill.;28 cm.
Citation
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.