Journal article
A perturbation DRBEM model for weakly nonlinear wave run-ups around islands
SP Zhu, HW Liu, TR Marchant
Engineering Analysis with Boundary Elements | ELSEVIER SCI LTD | Published : 2009
Abstract
In this paper, the dual reciprocity boundary element method (DRBEM) based on the perturbation method is presented for calculating run-ups of weakly nonlinear long waves scattered by islands. Under the assumption that the incident waves are harmonic, the time-dependent nonlinear Boussinesq equations are transformed into three time-independent linear equations by using the perturbation method, where, besides nonlinearity ε{lunate}, the dispersion μ2 is also included in the perturbed expansion. The first-order solution η0 is found by using the linear long-wave equations. Then η0 is used in two second-order governing equations related to the dispersion and nonlinearity, respectively. Since no an..
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Awarded by University of Wollongong
Funding Acknowledgements
We would like to thank an anonymous referee, who has provided many useful Suggestions and references for LIS to improve the presentation of this paper. The second author would also like to thank the financial support from a Australian Government Overseas Postgraduate Research Scholarship and from a University of Wollongong Postgraduate Award. He is also gratefully acknowledge the financial support from the Natural Science Foundation of China (10462001), the Funding for Returning Overseas Scholars of China State Education Ministry (200535), Guangxi Natural Science Foundation (0575029, 0639008) and Guangxi Shi-Bai-Qian Scholars Program (2001224).