摇荡物体周围粘性流的数值模拟

提出了一种新的求解非定常不可压Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的数值方法，在每个时间步长上采用人工可压性技术，通过对动量方程取散度，从而获得离散化的Ｐｏｉｓｓｏｎ方程，当关于虚拟时间的迭代过程达到收敛时，便得到了无散速率场，采用该方法模拟了一个纵摇椭圆柱体周围的非定常不可压性流动。

Numerical Simulation of Viscous Flow Around an Oscillating Body

A new numerical method for solving unsteady incompressible Navier Stokes equations is proposed which is based upon the use of the artificial compressibility technique applied at each time step.The Poisson equation for the pressure,obtained by taking the divergence of the momentum equations,is then discretized with respect to the pseudo time.The divergence free velocity field is obtained when the convergence of the iteration process with respect to the pseudotime is achieved.Using the present method,the unsteady incompressible viscous flow around a pitching elliptic cylinder is computed.