File:Application of Higdon non-reflecting boundary conditions to shallow water models (IA applicationofhig1094511040).pdf
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Summary
[edit]Application of Higdon non-reflecting boundary conditions to shallow water models ( ) | ||
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Author |
van Joolen, Vincent J. |
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Title |
Application of Higdon non-reflecting boundary conditions to shallow water models |
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Publisher |
Monterey, California. Naval Postgraduate School |
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Description |
In many applications involving wave propagation, problem domains are often very large or unbounded. A common numerical method used to solve such problems is to truncate the domain via artificial boundaries to form a finite computational domain. To accomplish this, Non-Reflecting Boundary Conditions (NRBC's) which minimize spurious wave reflections are imposed. The quality of the solution strongly depends on the properties of both the NRBC and the wave behavior. This dissertation explores the use of Higdon NRBC's to solve shallow water equations (SWE's) in a dispersive environment. A linearized SWE model is developed that includes stratification and advection effects. Initially a single NRBC is used to truncate a semi-infinite channel. Later four NRBC's are used to restrict an infinite plane. In both cases finite rectangular domains are formed. A scheme developed by Neta and Givoli is used to rapidly discretize high-order Higdon NRBC's. Finite difference methods and are used in all numerical schemes, which are solved explicitly when possible. Results will show that Higdon NRBC's can be used effectively to restrict large rectangular domains when solving SWE's that include the before mentioned effects. Subjects: Solitons |
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Language | English | |
Publication date | June 2003 | |
Current location |
IA Collections: navalpostgraduateschoollibrary; fedlink |
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Accession number |
applicationofhig1094511040 |
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Source | ||
Permission (Reusing this file) |
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, it may not be copyrighted |
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This file is a work of a sailor or employee of the U.S. Navy, taken or made as part of that person's official duties. As a work of the U.S. federal government, it is in the public domain in the United States.
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This file has been identified as being free of known restrictions under copyright law, including all related and neighboring rights. |
https://creativecommons.org/publicdomain/mark/1.0/PDMCreative Commons Public Domain Mark 1.0falsefalse
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current | 16:33, 14 July 2020 | 1,275 × 1,650, 158 pages (8.25 MB) | Fæ (talk | contribs) | FEDLINK - United States Federal Collection applicationofhig1094511040 (User talk:Fæ/IA books#Fork8) (batch 1993-2020 #7889) |
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Short title | Application of Higdon non-reflecting boundary conditions to shallow water models |
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Author | van Joolen, Vincent J. |
Software used | van Joolen, Vincent J. |
Conversion program | Adobe Acrobat Pro 11.0.10 Paper Capture Plug-in |
Encrypted | no |
Page size | 612 x 792 pts (letter) |
Version of PDF format | 1.4 |