摘要
新型Boussn iesq方程由于只引进两个参数对改善方程的色散关系、变浅作用性能的精度方面受到了一定限制.为进一步改善方程的色散关系以及变浅作用性能,通过引入变换速度代替该方程中的水深平均速度进行改进,新方程的色散关系与线性Stokes波色散关系式的Pade四阶展开式相同,同时方程的变浅作用系数在更大水深范围内与解析解接近.
The dispersion characteristic of the modified Boussinesq equations with two parameters is only equal to the second order Pade expansion of the linear dispersion relation. Further improvement is done by introducing a new velocity vector to replace the depth - averaged velocity in the modified Boussinesq equations. The dispersion of the further modified Boussinesq equation is as accurate as [4/4] Pade expansion. Compared to the modified Boussinesq equations, the shoaling characteristic of the equations has higher accuracy from shallow water to deep water.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2006年第4期630-632,共3页
Journal of Harbin Institute of Technology
基金
辽宁省自然科学基金资助项目(20032115)
博士学科专项基金资助项目
关键词
水波
色散性
变浅作用
water waves
dispersion
linear shoaling
