波浪的非线性频散关系  

Nonlinear dispersion relations of wave

作　　者：张扬[1] 李瑞杰[1] 郑金海[1] 

机构地区：[1]河海大学海岸及海洋工程研究所,江苏南京210098

出　　处：《水科学进展》2004年第4期448-453,共6页Advances in Water Science

基　　金：国家自然科学基金重点资助项目(50339010);教育部科学技术研究重点资助项目(03095);河海大学科技创新基金资助项目(2001410543)~~

摘　　要：在概括和总结现有非线性频散关系的基础上,给出了非线性频散关系的通式形式及其显式表达式。通过与原频散关系的比较可知显式形式具有很高的精度,与隐式形式吻合很好。利用频散关系的显式形式,结合含非线性项的缓坡方程,得到考虑非线性弥散影响的波浪变形模型。模型中对采用非线性频散关系和修正的非线性频散关系的计算结果进行了比较。结果表明,用新的频散关系的显式表达式得到的模型更加精确、合理。Based on the summarization and comparison of present nonlinear dispersion relations of wave, the general expression of the nonlinear dispersion relations and its explicit form are presented in this paper. The result of comparison shows that the explicit form has a considerably high precision and is good agreement with the implicit form. By use of the explicit form of nonlinear dispersion relation along with the mild slope equation taking into account weak nonlinear term, a mathematical model of wave transformation considering the effect of the nonlinearity is obtained. Comparison of the modified nonlinear relations is made in the model, and the computed results show that it is more accurate to use the latest nonlinear relation.

关 键 词：波浪 非线性频散关系 显式表达式 缓坡方程 通式表达式 

分 类 号：P731.22[天文地球—海洋科学]