UNSPECIFIED (2004) Multidimensional wave digital filtering approach for numerical integration of non-linear shallow water equations. In: IEEE International Symposium on Circuits and Systems, MAY 23-26, 2004, Vancouver, CANADA.

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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)
Subjects:	Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software T Technology > TK Electrical engineering. Electronics Nuclear engineering
Journal or Publication Title:	2004 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 3, PROCEEDINGS
Publisher:	IEEE
ISBN:	0-7803-8251-X
Date:	2004
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
URI:	http://wrap.warwick.ac.uk/id/eprint/7690

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