Abstract: Based on the analysis of the existing fountain simulation, this paper has designed and modeled the fountain design for the relatively few problems of fountain modeling. In this paper, a variety of mathematical curves and surface equations are used to establish a complex and special fountain modeling model, and the fountain motion model is established by analyzing the movement characteristics of fountain particles. In this paper, by using Visual Studio as the programming tools and three-dimensional animation is supported by OpenGL, the full system of three-dimensional fountain simulation based on Particle System is developed on Windows XP operating system and effect of simulation looks realistic.

Key words: mathematical model, particle system, fountain, surface

摘要： 在分析现有喷泉模拟的基础上，针对喷泉造型的研究相对较少的问题，进行了喷泉造型设计并建模。运用多种数学曲线、曲面方程建立了复杂特殊的喷泉造型模型，并分析喷泉粒子的运动特性建立了喷泉运动模型。采用Visual Studio为编程工具，结合OpenGL技术渲染场景，在Windows XP环境下开发了基于粒子系统的喷泉模拟系统，仿真效果真实。

关键词: 数学模型, 粒子系统, 喷泉, 曲面