HIGHER-ORDER THEORY OF INTERNAL SOLITARY WAVES WITH A FREE SURFACE IN TWO-LAYER FLUID SYSTEM OF FINITE DEPTH

Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (1): 71-79.

HIGHER-ORDER THEORY OF INTERNAL SOLITARY WAVES WITH A FREE SURFACE IN TWO-LAYER FLUID SYSTEM OF FINITE DEPTH

周清甫

Department of Mathematics and Mechanics, Zhongshan University, Guangzhou

收稿日期:1985-02-10 出版日期:1987-01-18 发布日期:1987-01-18

HIGHER-ORDER THEORY OF INTERNAL SOLITARY WAVES WITH A FREE SURFACE IN TWO-LAYER FLUID SYSTEM OF FINITE DEPTH

Zhou Chin-fu

Department of Mathematics and Mechanics, Zhongshan University, Guangzhou

Received:1985-02-10 Online:1987-01-18 Published:1987-01-18

摘要/Abstract

摘要： A higher-order approximation theory of internal solitary waves with a free surface is presented. Using the method of strained co-ordinates, the third-order approximation evolution equation of interface has been found. An analytic expression of the wave velocity is given. The evolution equation has been solved numerically. It is found that the effects of free surface on the shape and wave velocity of solitary wave are O(ε²), and the third-order numerical solutions are closer to experimental data than the first-and second-order solutions.

关键词: supersonic boundary layer, evolution of disturbance, shocklet

Abstract: A higher-order approximation theory of internal solitary waves with a free surface is presented. Using the method of strained co-ordinates, the third-order approximation evolution equation of interface has been found. An analytic expression of the wave velocity is given. The evolution equation has been solved numerically. It is found that the effects of free surface on the shape and wave velocity of solitary wave are O(ε²), and the third-order numerical solutions are closer to experimental data than the first-and second-order solutions.

Key words: supersonic boundary layer, evolution of disturbance, shocklet

周清甫. HIGHER-ORDER THEORY OF INTERNAL SOLITARY WAVES WITH A FREE SURFACE IN TWO-LAYER FLUID SYSTEM OF FINITE DEPTH[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(1): 71-79.

Zhou Chin-fu . HIGHER-ORDER THEORY OF INTERNAL SOLITARY WAVES WITH A FREE SURFACE IN TWO-LAYER FLUID SYSTEM OF FINITE DEPTH[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(1): 71-79.

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HIGHER-ORDER THEORY OF INTERNAL SOLITARY WAVES WITH A FREE SURFACE IN TWO-LAYER FLUID SYSTEM OF FINITE DEPTH

HIGHER-ORDER THEORY OF INTERNAL SOLITARY WAVES WITH A FREE SURFACE IN TWO-LAYER FLUID SYSTEM OF FINITE DEPTH

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