数值波浪水槽的建立与验证

由于Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程是从动量守恒定律出发，以对不可压缩粘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，

Numerical Wave Flume and Its Verification

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.