A new method to solve the boundary value problem arising in the study of scattering of two-dimensional surface water waves by a discontinuity in the surface boundary conditions is presented in this paper. The disconti...A new method to solve the boundary value problem arising in the study of scattering of two-dimensional surface water waves by a discontinuity in the surface boundary conditions is presented in this paper. The discontinuity arises due to the floating of two semi-infinite inertial surfaces of different surface densities. Applying Green＇s second identity to the potential functions and appropriate Green＇s functions, this problem is reduced to solving two coupled Fredholm integral equations with regular kernels. The solutions to these integral equations are used to determine the reflection and the transmission coefficients. The results for the reflection coefficient are presented graphically and are compared to those obtained earlier using other research methods. It is observed from the graphs that the results computed from the present analysis match exactly with the previous results.展开更多
In this paper, a theory for inertial boundary layer is developed to study the northward forced and the southward induced cross-equatorial jets by easterlies in the Southern Hemisphere in west and east boundaries respe...In this paper, a theory for inertial boundary layer is developed to study the northward forced and the southward induced cross-equatorial jets by easterlies in the Southern Hemisphere in west and east boundaries respectively. The solutions of the nonlinear potential vorticity equation and the Bernoulli equation show that subtle changes of the physical parameters can produce different equi- librium states and the velocity of these jets all can reach 10°m/s which are comparable to observa- tions. Simulations show that the induced current in the east boundary is very important to the for- mation of the local eastward equatorial current in the east boundary. This can be used to study the characteristics of the local surface eastward equatorial current during E1 Nino periods,展开更多
基金Partially Supported by a DST Research Project to RG(No.SR/FTP/MS-020/2010)
文摘A new method to solve the boundary value problem arising in the study of scattering of two-dimensional surface water waves by a discontinuity in the surface boundary conditions is presented in this paper. The discontinuity arises due to the floating of two semi-infinite inertial surfaces of different surface densities. Applying Green＇s second identity to the potential functions and appropriate Green＇s functions, this problem is reduced to solving two coupled Fredholm integral equations with regular kernels. The solutions to these integral equations are used to determine the reflection and the transmission coefficients. The results for the reflection coefficient are presented graphically and are compared to those obtained earlier using other research methods. It is observed from the graphs that the results computed from the present analysis match exactly with the previous results.
文摘In this paper, a theory for inertial boundary layer is developed to study the northward forced and the southward induced cross-equatorial jets by easterlies in the Southern Hemisphere in west and east boundaries respectively. The solutions of the nonlinear potential vorticity equation and the Bernoulli equation show that subtle changes of the physical parameters can produce different equi- librium states and the velocity of these jets all can reach 10°m/s which are comparable to observa- tions. Simulations show that the induced current in the east boundary is very important to the for- mation of the local eastward equatorial current in the east boundary. This can be used to study the characteristics of the local surface eastward equatorial current during E1 Nino periods,
