Kass Miller Rapid stable fluid dynamics for computer graphics英文电子书.pdf

~ ComputerGraphics,Volume 24, Number4, August 1990 Rapid, Stable Fluid Dynamics for ComputerGraphics Michael Kass and Gavin Miller A d v a n c e d T e c h n o l o g y G r o u p A p p l e C o m p u t e r , Inc. 20705 Valley G r e e n D r i v e C u p e r t i n o , C A 95014 ABSTRACT INTRODUCTION We present a new method for animating water based on a The problem of realistically modeling scenes containing simple, rapid and stable solution of a set of partial differential water has captured the attention of a number of computer- equations resulting from an approximation to the shallow graphics researchers in recent years[l; 2; 3; 4; 51, The omni- water equations. The approximation gives rise to a version of presence of water as well as the complexities and subtleties of the wave equation on a height-field where the wave velocity is its motion have made it an attractive subject of study. Yet proportional to the square root of the depth of the water. The existing computer-graphics models of water motion resulting wave equation is then solved with an altemating- adequately cover only a very small range of interesting water direction implicit method on a uniform finite-difference grid. phenomena. Among other