ON THE SECOND ORDER WAVE DIFFRACTION IN TWO LAYER FLUIDS  

作　　者：吴建华 方颖 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1996年第12期1147-1152,共6页应用数学和力学（英文版）

摘　　要：With assumption that the stratified ocean consists of two layer fluids with different densities, the problem of the second order wave diffraction by three dimensional bodies in the stratified ocean was investigated. The boundary value problem of the second order multi-chromatic wave scattering potential was firstly formulated based on a weakly radiation condition and with the use of regular perturbation method, and a formal solution was then found. Using the Green theorem and introducing an assisting potential, the integral expressions, which do not explicitly connect with the second order scattering potential of the second order wave loads were also derived. The analysis indicates that the effects of the stratification upon the second order difference frequency wave loads on the structures may be significant.With assumption that the stratified ocean consists of two layer fluids with different densities, the problem of the second order wave diffraction by three dimensional bodies in the stratified ocean was investigated. The boundary value problem of the second order multi-chromatic wave scattering potential was firstly formulated based on a weakly radiation condition and with the use of regular perturbation method, and a formal solution was then found. Using the Green theorem and introducing an assisting potential, the integral expressions, which do not explicitly connect with the second order scattering potential of the second order wave loads were also derived. The analysis indicates that the effects of the stratification upon the second order difference frequency wave loads on the structures may be significant.

关 键 词：Boundary value problems Partial differential equations SCATTERING Water waves 

分 类 号：O351[理学—流体力学]