A new application of an improved DRBEM model for water wave propagation over a frictional uneven bottom

作者：Soltankoohi Ali Reza^*; Gatmiri Behrouz; Noorzad Asadollah

来源：Engineering Analysis with Boundary Elements, 2012, 36(4): 537-550.

DOI：10.1016/j.enganabound.2011.10.001

• Water wave diffraction and refraction
• Bottom friction
• Extended mild-slope equation
• Dual reciprocity boundary element method
• Axi-symmetric pit

This paper presents a numerical scheme to approximate water wave diffraction, refraction and frictional dissipation over an axi-symmetric pit. Based on an improved extended mild-slope equation (EMSE) including bottom friction effect, as the elliptic governing differential equation, dual reciprocity boundary element method (DRBEM) is employed to model water wave propagation over an axi-symmetric pit. To the authors%26apos; knowledge, this is the first application of DRBEM for water wave scattering over a pit. In order to promote accuracy of the model, not only effects of the bottom curvature and the slope-squared terms which are neglected in the mild-slope equation (MSE), are considered, but also effect of the bottom friction is measured by the improved EMSE. Numerical results are compared with existing analytical or numerical solutions or with experimental data by several examples. Through these numerical experiments reliability and efficiency of present DRBEM model for determining the total wave field over an uneven bottom is approved.

• 出版日期2012-4