BOUSSINESQ TYPE EQUATIONS WITH FIRST ORDER OF NONLINEARITY AND FOURTH ORDER OF DISPERSION
-
摘要: 推导了由一阶色散项Ｏ（β２）表示的Ｂｏｕｓｉｎｅｓｑ类方程，方程中保留了一阶非线性项Ｏ（α）及四阶色散项Ｏ（β８），其中α＝Ａ／ｈ０，β＝ｈ０／Ｌ，Ａ为特征波高，Ｌ为特征波长，ｈ０为特征水深从理论上证明了Ｂｏｕｓｉｎｅｓｑ改善型方程对色散性精度的提高，阐明了此类方程对色散项所保留的精度为Ｏ（β８），而并非是此类方程推导之初的假设为Ｏ（β２）这一点，将改变人们传统的认识
-
关键词:
- 一阶非线性项 /
- 四阶色散项 /
- Bousinesq类方程
Abstract: In this paper, the Boussinesq-type equations with first-order O(α) of nonlinearity and fourth-order O(β 8) of dispersion is derived, in which, α=A/h 0 , β=h 0/L , A, L and h 0 is typical value of wave amplitude, wavelength and water depth By using the transforming velcity, the linear dispersion relation of our equations is consistent with fourth order pade approximation of the exact linear dispersion relation for Airy waves, this make the equations applicable to a wider rang... -
点击查看大图
计量
- 文章访问数: 1580
- HTML全文浏览量: 68
- PDF下载量: 625
- 被引次数: 0
下载:
