CAJ | 학술논문

针对采用光滑粒子流体动力学（SPH）方法仿真血液流动时，由于求解Navier-Stokes方程粘滞力项的运算量大而很难实现实时性仿真的问题，本文提出了一种基于SPH及形状约束的血流实时仿真方法：首先确定血流仿真模型并将整个血流仿真系统离散为一个粒子系统，其次通过SPH方法求解血流控制方程求得血液的流体速度，然后在SPH方法模拟流体的基础上通过形状约束算法控制血粒子的运动规律求得血液的固体速度，最后对SPH方法求得的流体速度和形状约束算法求得的固体速度进行线性插值得到血粒子的实际速度，进而更新血粒子的位置信息并进行可视化处理，最终实现血液流动现象的实时性仿真。实验结果表明，该方法通过形状约束算法可以模拟出血液的粘性效果，避免了传统方法中的复杂计算过程，能够快速地模拟出血流效果，满足实时性要求。
침대채용광활입자류체동역학（SPH）방법방진혈액류동시，유우구해Navier-Stokes방정점체력항적운산량대이흔난실현실시성방진적문제，본문제출료일충기우SPH급형상약속적혈류실시방진방법：수선학정혈류방진모형병장정개혈류방진계통리산위일개입자계통，기차통과SPH방법구해혈류공제방정구득혈액적류체속도，연후재SPH방법모의류체적기출상통과형상약속산법공제혈입자적운동규률구득혈액적고체속도，최후대SPH방법구득적류체속도화형상약속산법구득적고체속도진행선성삽치득도혈입자적실제속도，진이경신혈입자적위치신식병진행가시화처리，최종실현혈액류동현상적실시성방진。실험결과표명，해방법통과형상약속산법가이모의출혈액적점성효과，피면료전통방법중적복잡계산과정，능구쾌속지모의출혈류효과，만족실시성요구。
When Smoothed Particle Hydrodynamics (SPH) was deployed to simulate blood flow, the large amount of computation in solving the viscoelastic item of Navier-Stokes (N-S) equations made it dififcult to achieve real-time simulation of blood lfow. In view of the problem, this paper proposed a real-time blood lfow simulation method based on SPH and shape constrain. Firstly, the blood lfow simulation model should be determined and the entire blood system was treated as a discrete particle system. Then, the fluid speed was acquired through solving the blood flow control equations with deployment of the SPH method. On the basis of SPH simulation of lfuid, the shape constraining method was used to control the movement of blood particles so as to obtain the solid speed. Finally, the actual speed of blood particles were obtained by linear interpolation of the fluid speed and solid speed so as to update and visualize the position of blood particles and realize real-time simulation of blood lfow. The experimental results showed that the algorithm could simulate the viscosity effect of blood with deployment of shape constraining, which avoided the complex computation process of the traditional methods, achieved fast blood lfow simulation results and met the real-time requirements.