Multidimensional wave digital filtering approach for numerical integration of non-linear shallow water equations
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.Full text not available from this repository.
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|
|Number of Pages:||4|
|Page Range:||pp. 213-216|
|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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