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Multidimensional wave digital filtering approach for numerical integration of non-linear shallow water equations
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UNSPECIFIED (2004) Multidimensional wave digital filtering approach for numerical integration of non-linear shallow water equations. In: IEEE International Symposium on Circuits and Systems, Vancouver, CANADA, MAY 23-26, 2004. Published in: 2004 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 3, PROCEEDINGS pp. 213-216. ISBN 0-7803-8251-X.
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Abstract
An alternative approach based on principles of multidimensional (MD) digital signal processing is presented for the solution of a non-linear physical system. In essence, it consists in the modelling of a continuous (time-dependent) shallow water system by an equivalent discrete passive dynamical system, i.e, a system described by difference equations instead of differential equations having the same behaviour as the original one. Details for arriving the desired discrete system represented by a MD-WDF model are described. In addition, the non-linearity of the original PDEs is transformed into a system of non-linear algebraic equations which can be solved without major difficulty by a least-squares method. Graphical results are given to illustrate physical effects of nonlinear water wave propagation including radiation, reflection, refraction, and crest lines from and across the hard boundaries.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software T Technology > TK Electrical engineering. Electronics Nuclear engineering |
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Journal or Publication Title: | 2004 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 3, PROCEEDINGS | ||||
Publisher: | IEEE | ||||
ISBN: | 0-7803-8251-X | ||||
Official Date: | 2004 | ||||
Dates: |
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Number of Pages: | 4 | ||||
Page Range: | pp. 213-216 | ||||
Publication Status: | Published | ||||
Title of Event: | IEEE International Symposium on Circuits and Systems | ||||
Location of Event: | Vancouver, CANADA | ||||
Date(s) of Event: | MAY 23-26, 2004 |
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