Lagrangian motion of fluid particles in gravity–capillary standing waves

Hung Chu Hsu, Meng Syue Li

研究成果: Article同行評審


A third-order analytical solution for the gravity–capillary standing wave is derived in Lagrangian coordinates through the Lindstedt–Poincare perturbation method. By numerical computation, the dynamical properties of nonlinear standing waves with surface tension in finite water depth, including particle trajectory and surface profile are investigated. We find that the presence of surface tension leads to a change of the crest form. Moreover, we also find that the particle trajectories near the surface oscillate back and forth along the arcs which will change from concave to convex as the inverse Bond number increases. There is no mass transport of the particles in a wave period.

期刊Nonlinear Analysis: Real World Applications
出版狀態Published - 2021 2月

All Science Journal Classification (ASJC) codes

  • 分析
  • 工程 (全部)
  • 經濟學、計量經濟學和金融學 (全部)
  • 計算數學
  • 應用數學


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