基于导热微分方程新解法的人体温度仿真

Simulation of Human Body Temperature Distribution Based on New Solution for Heat Conduction Differential Equation

传统直角坐标系下的导热微分方程与人体几何特性匹配较差,造成方程求解精确度低,从而引起人体温度仿真值与真实值偏差较大。针对这一问题,文章基于人体椭圆柱体的几何特性,将导热微分方程从直角坐标系转化为椭圆柱坐标系,采用交替方向全隐格式的有限体积法对方程进行离散、求解;同时给定初始温度以及边界条件,对人体温度进行仿真。将本文仿真结果与传统导热微分方程的计算值以及实验值进行对比,得出本文的计算方法正确且计算精度较高。

In the traditional rectangular coordinate system, the human body characteristics can not match the differential equation. This leads to the low accuracy of the simulation results. Based on the geometric characteristics of the elliptic cylinder, the differential equation of the heat conduction is transformed from the rectangular coordinate system to the elliptic one, and the finite volume method of the alternating direction full implicit scheme pair is adopted. The improved heat conduction differential equation is applied to the simulation of the human body temperature. The simulation results, compared with the calculated values of the traditional differential equation and the measured ones, show that the method is correct and its calculation accuracy is high.