A sigma-coordinate non-hydrostatic model with embedded Boussinesq-type-like equations for modeling deep-water waves

作者：Young Chih Chieh; Wu Chin H^*

来源：International Journal for Numerical Methods in Fluids, 2010, 63(12): 1448-1470.

DOI：10.1002/fld.2150

• sigma-coordinate
• non-hydrostatic
• Boussinesq-type-like equations
• reference velocity
• deep-water waves
• Stokes waves
• freak waves

A sigma-coordinate non-hydrostatic model, combined with the embedded Boussinesq-type-like equations, a reference velocity, and an adapted top-layer control, is developed to study the evolution of deep-water waves. The advantage of using the Boussinesq-type-like equations with the reference velocity is to provide an analytical-based non-hydrostatic pressure distribution at the top-layer and to optimize wave dispersion property. The sigma-based non-hydrostatic model naturally tackles the so-called overshooting issue in the case of non-linear steep waves. Efficiency and accuracy of this non-hydrostatic model in terms of wave dispersion and nonlinearity are critically examined. Overall results show that the newly developed model using a few layers is capable of resolving the evolution of non-linear deep-water wave groups.

• 出版日期2010-8-30