双倒易边界元拓展于模拟生物组织中热波传播问题

1前言双倒易边界元是一个新发展的纯边界积分数值方法＊，乞今在热波传播问题的应用尚未见到报导。对热波在工程材料中传播的反射和衰减特性已作过一些研究，但它们均局限在快速温度变化及极低温情形．生物组织热波传播问题的研究则尚未见到报导。我们曾用有限差分法考察过一维情况下热波在不同时刻下的演化情况，算例中波形存在锯齿这是由于有限差分误差所致．热波问题的数值模拟，需要对热波及其分解、叠加和反射能进行准确定位与精确捕获。在已发表的有限差分泡括采用了TVD高精度算法）数值解中报道了热波前沿存在严重的数值脉动。边界…

EXTENSION OF THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD TO SIMULATE THERMAL WAVE PROMGATION IN BIOLOGICAL TISSUES

The Dual Reciprocity Boundary Element Method (DRBEM) is extended to simulatethe thermal wave propagation in biological tissues. The higher the thermal relaxation timeis, the stronger the thermal wave effect will be. Under changing heat source, bioheat trans-fer has distinct wave characters. The thermal wave propagation in biological tissues obeysthe superposition and resolution principle of ordinary wave. Reflected by a rigid wall' (thefirst boundary condition), the thermal wave will show a phase jumping phenomenon. TheDRBEM is an efficiellt pure boundary iotegral method without domain integral for solvingthermal wave problems. Thermal wave and their refiection, phase jumping, superposition,resolution can be correctly located and sharply captured. There are no the oscillatory behav-ior in the wave front and wave peak region, which is presented in reported finite differencesolution with TVD high accuracy scheme.