VOF方法模拟水面振荡流场

Simulation of Water Oscillation Flow Field by VOF Method

应用VOF(Volume of Fluid)方法结合不可压缩流体的N-S方程和连续性方程对矩形水池中的水面振荡流场进行数值模拟。采用共轭剩余法结合差分法求解N-S方程和连续性方程,采用施主-受主法求解流体体积函数控制方程。计算得到一个振荡周期内典型时刻矩形水槽水面振荡流场分布情况并与理论分析结果进行比较。并将计算得到的前6个周期时刻的振荡流场自由面分布曲线进行比较。结果表明,数值模拟所得水面振荡流场演化过程符合理论规律,VOF方法能够较为精确地模拟水面振荡流场。

The VOF（Volume of Fluid） method associated with Navier-Stokes equations and continuity equations of incompressible fluid was used to simulate the oscillation flow field of liquid in a rectangular tank.Conjugate residual（CR） algorithm and finite difference method were employed to solve Navier-Stokes equations and continuity equations,and donor-acceptor scheme was used to discretize the governing equation of fluid volume function.The wave position and velocity vectors during one period obtained by the computations were compared with theoretical results.Moreover,distribution curves of the wave position and velocity vectors for the first six oscillation periods of the liquid oscillation field were compared.The comparisons showed that the simulated evolutionary process of water wave oscillation field is consistent with theoretical results.Therefore,VOF method can be applied to simulate the oscillation flow field accurately.