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Using Fictitious Time Integration Method to Study Wave Propagation Over Arbitrary Bathymetry

Published online by Cambridge University Press:  01 May 2013

J.-Y. Chang ,
C.-C. Tsai  and
T.-W. Hsu
J.-Y. Chang
Affiliation:
Department of Business Administration, Tainan University of Technology, Tainan, Taiwan 71002, R.O.C.
C.-C. Tsai*
Affiliation:
Department of Marine Environmental Engineering, National Kaohsiung Marine University, Kaohsiung City, Taiwan 81157, R.O.C.
T.-W. Hsu
Affiliation:
Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Corresponding author ([email protected])
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Abstract

In this study, the fictitious time integration method (FTIM) is applied to investigate wave propagation over an arbitrary bathymetry with measured uncertainty. The FTIM is used to convert the higher-order elliptic mild-slope equation (EMSE) into a FTIM like EMSE (FTIMEMSE). It has the advantage to describe wave transformation from deep water to shallow water region in a large coastal area with numerical efficiency. The validity of the noise resistance for the measured uncertainty of the bathymetry is also studied. In addition, typical examples for waves propagating over an elliptic shoal rest on a horizontal and sloping bottom is presented. It is concluded that the FTIM is robust in the numerical stability and capable of against the noise of the measurement.

Keywords

Fictitious time integration methodMild slope equationWater wave
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 3 , September 2013 , pp. 551 - 558
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

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