摘要
由于Navier-Stokes方程是从动量守恒定律出发,对不可压缩粘性流体不引入地形限制,不考虑水深影响,是真正意义上从流体的运动规律出发的方程,因此本文以Navier-Stokes方程为控制方程,用有限元法对它进行离散,建立了它的有限元特征方程,通过对边界条件的处理建立了适用广泛的二维数值波浪水槽,并就数值模型的稳定性、边界条件的效果作了探讨。特别对于直墙前立波波面形状与理论解进行了比较,有很好的一致性。
Navier Stokes equations have no bathymetry and water depth limitation, it can be used in incompressible viscous fluid flow problem. So N S equations are chosen in our study and discretized by Finite Element Method. An idealized numerical wave flume has been established and its results,including wave profiles, time history of surface elevation and efficiencies of boundary conditions are discussed. The comparisons between numerical results and theoretical ones are satisfactory.
出处
《水动力学研究与进展(A辑)》
CSCD
北大核心
1999年第1期8-15,共8页
Chinese Journal of Hydrodynamics