基于物理的烟雾动画

Physics-Based Animation of Smoke

基于物理的烟雾模拟中,需要求解Navier-Stokes偏微分方程组.通过量纲分析,简化了该方程.在求解对流项时采用半拉格朗日方法,为弥补该方法带来的数值耗散,引入了高阶精度紧致格式,在较粗的网格上亦可得到较高精度的导数值.实验结果表明:该算法效果比较真实,速度较快.

In the physics-based simulation of smoke, a set of Navier-Stokes partial differential equations need to be solved. In solving the problem, we use the Dimension Analysis method to simplify the equations. While solving the advection item, the semi-Lagrangian scheme is adopted. For the numerical dissipation inherent in the semi-Lagrangian scheme, a compact scheme highly accurate was introduced to improve the accuracy on coarse grids. It is shown that these methods can efficiently produce realistic results.