河口相流相互作用的数学模型

摘要

基于Navier-Stokes方程，考虑波流相互作用，本文提出了河口水动力数学模型。本模型考虑：(1)河水径流、相对波浪和潮流，可作为时不变的流动问题，一般作为潮流计算的部分边界条件；(2)波浪，主要是涌，其周期相对潮流可小几个数量阶，波长50～250m；(3)潮流，周期性的，时间尺度是半天到1 d，波长以几十公里计；(4)地形是缓变的，其特征尺度远大于波浪长度。%Based on the Navier-Stokes equations, a numerical model is proposed for estuarine wave and current interactions. In this model, the following four aspects have been taken into account: ( 1 ) runoff, being taken as steady flow relative to wave and current, and also used as the partial boundary condition for tidal computation; (2) wave,several orders smaller than tidal current, with the length of 50 - 250 m; (3) tidal current, periodic with the semidiurnal or diurnal time scales and several kilometers of wave length; and (4) gradual topography, its characteristic length is larger than wave.