适合复杂地形的高阶Boussinesq水波方程

邹志利

适合复杂地形的高阶Boussinesq水波方程

邹志利

大连理工大学海岸和近海工程国家重点实验室, 辽宁大连 116024

基金项目: 国家自然科学基金资助项目(59979002,59679005).

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出版历程
- 收稿日期: 1999-08-16
- 修回日期: 1999-12-03

Higher-order Boussinesq equations for rapidly varying topography

ZOU Zhi-li

State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China

摘要

摘要: 针对海底坡度较大(量阶为O(1))或海底曲率较大的复杂地形,建立了一个新型高阶Boussinesq水波方程.该方程可用于研究海底存在若干相互平行沙坝引起的Bragg反射问题.方程的水平速度沿水深的分布为四次多项式,色散性和变浅作用性能的精度比经典Boussinesq方程高了一阶.方程在浅水水域可以是完全非线性的.
- Boussinesq方程 /
- 非线性 /
- 色散性
Abstract: A new form of Boussinesq-type equations is developed for the case of wave propagating over a bed with a slope of the magnitude of O(1) or over rapidly varying topography such as rippled beds.The assumption of mildslope is not used.The formulation of the new equations is the extension to one-order higher than the classical Boussinesq equations derived by Peregrine in 1967,the velocity distribution along depth is a fourth polynoriiial and the accuracy of the dispersion and nonlinearity of the new equations is one-order higher than that of the classical Boussinesq equations.As an example of application,the new equations are used to consider the Bragg reflection problem.
- Boussinesq equations /
- nonlinearity /
- dispersion

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参考文献(19)

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