A note on the computation of a Green's function for short wavelength water waves over a plane incline

作者：Ehrenmark Ulf^*

来源：Journal of Computational and Applied Mathematics, 2011, 236(6): 1667-1674.

DOI：10.1016/j.cam.2011.09.044

• Green's function
• Water waves
• Bromwich line
• Residue theorem
• Boole's rule

A recently developed Green's function for two-dimensional water wave problems on a plane beach was given in a form requiring (in part) direct numerical quadrature of a complex valued integral on the Bromwich line Rs = 1/2, (s) is an element of vertical bar-infinity, infinity vertical bar. These calculations would fail numerically for waves of sufficiently short wave-length.
For special angles of inclination a more robust method is presented here which has no wavelength restrictions.

• 出版日期2011-10-15