河口波流相互作用的数学模型

ESTUARINE WAVE AND CURRENT INTERACTIONS: ANUMERICAL MODEL

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 5 0～ 2 5 0m ;( 3)潮流 ,周期性的 ,时间尺度是半天到 1d ,波长以几十公里计 ;( 4)地形是缓变的 。

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 steadyflow 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 semi diurnal or diurnal time scales and several kilometers of wave length; and (4) gradual toPOgraphy, its characteristiclength is larger than wave.