基于小振幅机械波动方程的水面模拟

自然水面模拟在计算机游戏和影视等行业中有重要的应用.已往基于物理的水面模拟大都通过求解复杂的NS(Navies Stokes)方程来实现.为了降低计算的复杂性,提高模拟的效率,根据弦受力运动过程,通过适当的假设,推导出小振幅机械波动微分方程.通过求解此方程来进行水面波浪模拟,并利用水面光学特性,加强水面真实.实践证明,算法成功地实现了水面的模拟,取得了很好的模拟效果,避免了复杂的求解过程,算法运行效率很高.

Water simulation based on small amplitude mechanical wave equation

Natura l w ater simulatio n plays an important part in computer game, and film indust ry. The t raditio nal w ater simulatio n based on physics is do ne mo stly by get ting the answ er to the complex Navier-Stokes equatio n. To reduce th e complexi ty and improv e the ef ficiency of the simula tion, the mov ement ofst ring was analy zed, some hy po theses made, a nd the small ampli tude mecha nical w av e di fferential equationdeduced. By calculating the equa tion, the w ater w av es w ere simula ted, and by using w ater optics, w atersurface w as made realistic. The ex periment show s that the method implements the w ater simulation, g etsa good-loo king result s, and has a v ery hig h efficiency av oiding complex calculatio n.