An efficient curvilinear non-hydrostatic model for simulating surface water waves

作者：Choi Doo Yong; Wu Chin H^*; Young Chih Chieh

来源：International Journal for Numerical Methods in Fluids, 2011, 66(9): 1093-1115.

DOI：10.1002/fld.2302

• curvilinear model
• non-hydrostatic
• dispersion
• reflection
• runup
• diffraction

An efficient curvilinear non-hydrostatic free surface model is developed to simulate surface water waves in horizontally curved boundaries. The generalized curvilinear governing equations are solved by a fractional step method on a rectangular transformed domain. Of importance is to employ a higher order (either quadratic or cubic spline function) integral method for the top-layer non-hydrostatic pressure under a staggered grid framework. Model accuracy and efficiency, in terms of required vertical layers, are critically examined on a linear progressive wave case. The model is then applied to simulate waves propagating in a canal with variable widths, cnoidal wave runup around a circular cylinder, and three-dimensional wave transformation in a circular channel. Overall the results show that the curvilinear non-hydrostatic model using a few, e. g. 2-4, vertical layers is capable of simulating wave dispersion, diffraction, and reflection due to curved sidewalls.

• 出版日期2011-7-30