Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (4): 1469-1478.

• 论文 • 上一篇    下一篇

THE GENERALIZED BOUSSINESQ EQUATIONS AND OBLIQUELY INTERACTING SOLITARY WAVES IN A STRATIFIED FLUID

戴世强   

  1. Institute of Mechanics, Academia Sinica
  • 收稿日期:1983-11-27 出版日期:1984-07-18 发布日期:1984-07-18

THE GENERALIZED BOUSSINESQ EQUATIONS AND OBLIQUELY INTERACTING SOLITARY WAVES IN A STRATIFIED FLUID

Dai Shi-qiang   

  1. Institute of Mechanics, Academia Sinica
  • Received:1983-11-27 Online:1984-07-18 Published:1984-07-18

摘要: In this paper, on the basis of Boussinesq’s shallow water theory, we establish the basic equations governing the motion of a stratified fluid, a kind of the generalized Boussinesq equations. And then by way of them, we study the weak interaction of two pairs of obliquely colliding solitary waves, give the second-order approximate solutions for wave profiles and maximum amplitudes, as well as conclude that when the included angle between the directions of propagation of impinging solitary waves is less than 120°, the effect of oblique interaction is stronger than that of the head-on one, but when the angle concerned is greater than 120°, the former is slightly weaker than the latter.

关键词: circular cylinder with surface suction or blowing, separated vortex flow around bluff body and its control, vorticity-velocity method, preconditioned conjugate gradient method

Abstract: In this paper, on the basis of Boussinesq’s shallow water theory, we establish the basic equations governing the motion of a stratified fluid, a kind of the generalized Boussinesq equations. And then by way of them, we study the weak interaction of two pairs of obliquely colliding solitary waves, give the second-order approximate solutions for wave profiles and maximum amplitudes, as well as conclude that when the included angle between the directions of propagation of impinging solitary waves is less than 120°, the effect of oblique interaction is stronger than that of the head-on one, but when the angle concerned is greater than 120°, the former is slightly weaker than the latter.

Key words: circular cylinder with surface suction or blowing, separated vortex flow around bluff body and its control, vorticity-velocity method, preconditioned conjugate gradient method

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