基于有限差分法的瀑布动画模拟

Animation of Waterfall Based on Finite Diflerence Method

把数值方法和计算机图形学相结合,利用有限差分方法求解描述水流现象的物理模型浅水波方程,通过扰动的方法控制水流动画形成,进而实现了对水流现象的动画模拟.瀑布模拟试验结果表明,瀑布的运动不需要人工干预,由算法自动生成.同时能模拟物体与外界之间的相互作用.

The paper combines numerical method and computer graphics, using finite difference method to solve the shallow water equations and by the disturbance method to control water flow animation, accordingly realized water flow simulation. We provide an example of waterfall to illustrate simulation of water flow phenomena. The results show the movements of waterfall do not need contrived intervention, and all processes are created automatically by algorithms. Meanwhile, the modeling can simulate mutual effect between object and exoteric objects. The results show this is an effective method to simulate water flow animation.