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在格子涡方法中 ,用网格节点处的流场速度通过插值确定离散涡元速度时 ,往往会导致很大误差 ,为此 ,给出了一种改进的格子涡方法。在该方法中 ,每个时间步开始时 ,离散涡元被置于网格节点上 ,它们以网格节点处的流场速度运动 ,而在该时间步结束时 ,将偏离网格节点位置的离散涡元用涡量再分配的方法重新置于网格节点上 ,这样离散涡元总是以网格节点处的流场速度运动 ,避免了插值及其所导致的误差。对混合层流动的模拟结果表明对格子涡方法的改进是成功的。
In the lattice vortex method, when the velocity of discrete vortex elements is determined by interpolating the velocity of the flow field at the grid nodes, it often leads to great errors. Therefore, an improved lattice vortex method is given. In this method, at the beginning of each time step, discrete vortices are placed on grid nodes that move at the velocity of the flow field at the grid nodes and, at the end of the time step, will deviate from the position of the grid nodes Discrete vortexes are redistributed with vorticity back onto the grid nodes so that discrete vorticity always moves at the velocity of the flow field at the grid nodes, avoiding interpolation and the resulting errors. The simulation results of the mixed layer flow show that the improvement of the lattice vortex method is successful.