Homotopy analysis of nonlinear short-crested waves in water of finite depth

摘要：

An analytic approximation method known as the homotopy analysis method (HAM) isapplied to study nonlinear short-crested waves in water of finite depth. Series solutions for the velocity potential, the wave frequency and the wave profile are derived. The calculatedproperties of short-crested waves agree well with previous numerical results for small wavesteepness and with the increase of wave steepness our solutions appear to be more pronouncing.Furthermore, HAM provides a convenient way to guarantee the convergence of seriessolution. This work indicates HAM is suitable to solve nonlinear short-waves problems,especially those without small/large physical parameters.

关键词： Homotopy analysis method (HAM) Three-dimensional waves Nonlinear short-crested waves Wave profile

作者: zhang san zhang san

作者单位: Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Yanchang Road,Shanghai 2 Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Yanchang Road,Shanghai 2

会议类型: 国内会议

会议名称: 第十三届现代数学和力学学术会议(MMM-XIII)暨钱伟长诞辰100周年纪念大会

会议地点: 上海

会议语种:英文

页码: 1-8

在线出版日期: 2012-10-05（万方平台首次上网日期，不代表论文的发表时间）