基于物理模型的水波动画模拟

水流现象模拟是动画模拟的一个热门课题,近年来,基于物理模型的求解方法越来越受到重视,这种方法通过求解描述自然场景的物理学方程来模拟自然规律,通过修改各种物理参数来控制动画的情节。把数值方法和计算机图形学相结合,利用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画形成,进而实现了对水流现象的动画模拟。以船波为例对水流现象进行了模拟,模拟试验结果表明通过这种方法模拟水波,水波的运动不需要人工干预,由算法自动生成。同时这些实例能模拟物体与外界物体之间的相互的作用,模拟图形显示这是一个有效的水流动画模拟的手段。

The Simulation of Water Animation Based on Physical Model

The behaviour of water flow is one of the interesting aspects of animation. More reently, the animation method,based on the physical model and considered as a popular issue,simulates the water flow by computing the physical equation and by controling the physical parameter of physical model.In this paper,we use numerical method and computer graphics to solve the shallow water equations;the method is finite difference method. By the physical model of shallow water, the ship wave simulation result indicates the movements of water waves can be simulated automatically, our simulation result also nicely shows the water waves can be superposed with each other and reflected by the banks, All the movments need no artificial intervention, through this effective simulation method.