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A general DRBEM model for wave refraction and diffraction. (English) Zbl 0980.76056
Summary: A numerical model based on the dual reciprocity boundary element method (DRBEM) is presented for the study of combined wave diffraction and refraction. The model is more general than that presented by the first author [ibid. 12, 261–274 (1993)] in the sense that areas or coastlines where water depth is zero can be dealt with as well. Our comparative study shows that the new model is accurate for long waves (tsunami waves). It is numerically efficient in comparison with models based on finite elements. Using the new model, we examine the interaction between diffraction and refraction effects. It is shown that the diffraction effect is significantly enhanced when there is a combined diffraction and refraction than when there is just diffraction alone.

MSC:
76M15 Boundary element methods applied to problems in fluid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
86A05 Hydrology, hydrography, oceanography
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