✦ LIBER ✦

A new form of higher order Boussinesq equations

✍ Scribed by Z.L. Zou

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 267 KB
Volume: 27
Category: Article
ISSN: 0029-8018
DOI: 10.1016/s0029-8018(99)00007-4

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✦ Synopsis

On the basis of the higher order Boussinesq equations derived by the author (1999), a new form of higher order Boussinesq equations is developed through replacing the depth-averaged velocity vector by a new velocity vector in the equations in order to increase the accuracy of the linear dispersion, shoaling property and nonlinear characteristics of the equations. The dispersion of the new equations is accurate to a [4/4] Pade expansion in kh. Compared to the previous higher order Boussinesq equations, the accuracy of quadratic transfer functions is improved and the shoaling property of the equations have higher accuracy from shallow water to deep water.

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