Hamiltonian model for coupled surface and internal waves in the presence of currents

详细信息    查看全文

• 作者：Rossen Ivanov ; ^{rossen.ivanov@dit.ie" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Internal waves ; Equatorial undercurrent ; Shear flow ; Hamiltonian system ; KdV equation
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：34
• 期：Complete
• 页码：316-334
• 全文大小：672 K

文摘

We examine a two dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface. The two media are separated by a free common interface. The gravity driven surface and internal water waves (at the common interface between the media) in the presence of a depth-dependent current are studied under certain physical assumptions. Both media are considered incompressible and with prescribed vorticities. Using the Hamiltonian approach the Hamiltonian of the system is constructed in terms of ‘wave’ variables and the equations of motion are calculated. The resultant equations of motion are then analysed to show that wave–current interaction is influenced only by the current profile in the ‘strips’ adjacent to the surface and the interface. Small amplitude and long-wave approximations are also presented.