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Wave Refraction-Diffraction in the Presence of a Current
作者单位:Lin Mingchung,Hsiao Sungshan Hsu Yungcheng Professor,Dept. of Naval Architecture and Ocean Engineering,National Taiwan University,Taiwan. Doctor Course Student,Dept. of Naval Architecture and Ocean Engineering,National Taiwan University,Taiwan
摘    要:-Wave refraction-diffraction due to a large ocean structure and topography in the presence of a 'current are studied numerically. The mathematical model is the mild-slope equation developed by Kirby (1984). This equation is solved using a finite and boundary element method. The physical domain is devid-ed into two regions: a slowly varying topography region and a constant water depth region. For waves propagating in the constant water depth region, without current interfering, the mild- slope equation is then reduced to the Helmholtz equation which is solved by boundary element method. In varying topography region, this equation will be solved by finite element method. Conservation of mass and energy flux of the fluid between these two regions is required for composition of these two numerical methods. The numerical scheme proposed here is capable of dealing with water wave problems of different water depths with the main characters of these two methods.


Wave Refraction-Diffraction in the Presence of a Current
Authors:Lin Mingchung  Hsiao Sungshan Hsu Yungcheng Professor  Dept of Naval Architecture and Ocean Engineering  National Taiwan University  Taiwan Doctor Course Student  Dept of Naval Architecture and Ocean Engineering  National Taiwan University  Taiwan
Abstract:-Wave refraction-diffraction due to a large ocean structure and topography in the presence of a 'current are studied numerically. The mathematical model is the mild-slope equation developed by Kirby (1984). This equation is solved using a finite and boundary element method. The physical domain is devid-ed into two regions: a slowly varying topography region and a constant water depth region. For waves propagating in the constant water depth region, without current interfering, the mild- slope equation is then reduced to the Helmholtz equation which is solved by boundary element method. In varying topography region, this equation will be solved by finite element method. Conservation of mass and energy flux of the fluid between these two regions is required for composition of these two numerical methods. The numerical scheme proposed here is capable of dealing with water wave problems of different water depths with the main characters of these two methods.
Keywords:wave refraction-diffraction  currents  Jinite/ boundary element method
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