基于网格与无网格的血流仿真  

A BLOOD FLOW SIMULATION BASED ON GRID AND MESHLESS METHOD

作　　者：张伟东 陈国栋[1] 周霆[1] 

机构地区：[1]福州大学物理与信息工程学院,福建福州350116

出　　处：《南阳理工学院学报》2017年第6期70-73,89,共5页Journal of Nanyang Institute of Technology

基　　金：国家自然科学基金(61471124);福建省自然科学基金项目(2013J05090)

摘　　要：本文结合欧拉法和纯拉格朗日法两种方法的优势,提出了基于网格和无网格相结合的方法实现血流仿真。该方法首先将整个血流系统看成一个粒子系统,然后采用有限差分法(FDM)实现对Navier-Stokes方程的离散化,并通过Gauss-Seidel方法对构造出的poission方程进行求解,将得到的数值解用来驱动粒子实现血流模型的构建,接着利用屏幕域抛雪球算法(screen space splatting)对血流表面进行渲染,最终实现整个血流过程的仿真。仿真结果表明:该方法提高了血流仿真的细节边界,能够保证血流效果的真实性,并且运算速度快,提高了仿真实时性。In this context, this pap e r proposes a blood flow simulation method based on a meshless method of pure Lagrangian,which gains both of their advantages. F i rs t ly, the entire system is regarded as a particle systemfollowed by Navier-Stokes equation discretization using the finite difference method （ FDM） . Further,the constructed Poission equation is solved by Gauss-Seidel method,which is used to drive the particle flow for establishing blood flowsurface rendering is conducted by screen space splatting metliod and a whole simulation process of blood flow is finished. Simulation re-sults of this proposed metliod show that it improves the performance of detailed border simulation, which confirms the reality of the blood flow simulation. In addition, it embraces high computing efficiency and excellent real-time performance.

关 键 词：血流仿真 有限差分法(FDM) Gauss-Seide1方法 屏幕域抛雪球算法 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]