Second-order solutions for random interfacial waves in TV-layer density-stratified fluid with steady uniform currents

作者：Chen Xiao Gang^*; Guo Zhi Ping; Song Jin Bao

来源：Chinese Physics B, 2008, 17(9): 3387-3393.

DOI：10.1088/1674-1056/17/9/040

• Asymptotic solutions
• Density interfaces
• Interfacial waves
• N-layer density-stratified fluid
• Nonlinear interactions
• Random displacements
• Random interfacial waves
• Second-order solutions
• Small amplitude wave theories
• Stratified fluids
• Uniform currents
• Velocity potentials
• Wave components

In the present paper, the random interfacial waves in N-layer density-stratified fluids moving at different steady uniform speeds are researched by using an expansion technique, and the second-order asymptotic solutions of the random displacements of the density interfaces and the associated velocity potentials in N-layer fluid are presented based on the small amplitude wave theory. The obtained results indicate that the wave - wave second-order nonlinear interactions of the wave components and the second-order nonlinear interactions between the waves and currents are described. As expected, the solutions include those derived by Chen (2006) as a special case where the steady uniform currents of the N-layer fluids are taken as zero, and the solutions also reduce to those obtained by Song (2005) for second-order solutions for random interfacial waves with steady uniform currents if N 2.

• 出版日期2008
• 单位内蒙古大学