烟雾模拟中Navier-Stokes方程的优化求解方法  

Optimization in Solving the Navier-Stokes Equation for Smoke Simulation

作　　者：韩增锟[1] 唐勇[2] 

机构地区：[1]燕山大学教务处,秦皇岛066004 [2]燕山大学信息科学与工程学院,秦皇岛066004

出　　处：《微计算机应用》2011年第12期14-18,共5页Microcomputer Applications

基　　金：国家自然科学基金资助项目(60970073)

摘　　要：针对基于物理方法烟雾模拟中Navier-Stokes方程求解复杂,影响实时性的问题,引入无量纲化处理方法来简化方程形式,减少计算量,提高求解速度。并通过引入MacCormack求解Navier-Stokes方程对流项,实现降低用半拉格朗日方法求解对流项过程中由于时间耗散而导致小尺度细节丢失的问题。实验结果表明,采用文中方法模拟出的效果比较真实,且使基于物理方法的烟雾模拟达到了实时性的要求。The real - time in the physics - based smoke simulation is not effective because of the complication in solving the Navier - Stokes equations. The nondimensional processing method is introduced to solve the Navier - Stokes equations. The nondimensional pro- cessing on the physical models equations can simplify equations＇ format, decrease the calculation, reduce the time cost. In addition, we introduce the MacCormack method to solve the advection item of the Navier - Stokes equations in order to lower numerical dissipation inherent in the semi - Lagrangian scheme which leads to the lose of small - scale visual details. Experimental results show that the optimization can attain better visual effects, and the requirement of realtime is satisfied by the reducement of the computing time for physics -based smoke simulation.

关 键 词：烟雾模拟 NAVIER-STOKES方程 无量纲化 MacCormack方法 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]