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A NOVEL METHOD OF SOLVING THE EXACT EQUATIONS FOR CAPILLARY-GRAVITY WAVES

A NOVEL METHOD OF SOLVING THE EXACT EQUATIONS FOR CAPILLARY-GRAVITY WAVES
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摘要 A new method is presented for the computation of two-dimensional periodic progressive surface waves propagating under the combined influence of gravity and surface tension. The nonlinear surface is expressed by Fourier series with finite number of terms, after the computational domain is transformed into a unit circle. The dynamic boundary equation is used in its exact nonlinear form and the coefficients of Fourier series are found by the Newton-Raphson method successively. This is a neat method, Yielding high prescision with little computational effort. A new method is presented for the computation of two-dimensional periodic progressive surface waves propagating under the combined influence of gravity and surface tension. The nonlinear surface is expressed by Fourier series with finite number of terms, after the computational domain is transformed into a unit circle. The dynamic boundary equation is used in its exact nonlinear form and the coefficients of Fourier series are found by the Newton-Raphson method successively. This is a neat method, Yielding high prescision with little computational effort.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第3期309-312,共4页 应用数学和力学(英文版)
关键词 capillary wave non-linear wave optimization method capillary wave, non-linear wave, optimization method
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