Boundary element method analysis for the bioheat transfer equation.
Boundary element method analysis for the bioheat transfer equation.
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DOI：
10.1115/1.2891396
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发表时间：
1992-08
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影响因子：
--
通讯作者：
C. Chan
中科院分区：
文献类型：
--
作者：
C. Chan
本文应用边界元法求解Pennes（1948）生物热方程。其目的是开发边界元公式，并证明其可行性。首先介绍了瞬态和稳态情况下的基本边界元公式。为了证明的BEM方法的有用性，2-D稳态问题的数值解，并与解析解进行比较。此外，边界元法制定适用于模型的共轭问题的动脉嵌入灌注加热组织。当x方向上的传导可以忽略时，解析解是可能的。边界元法计算结果与解析结果吻合很好。
In this paper, the boundary element method (BEM) approach is applied to solve the Pennes (1948) bioheat equation. The objective is to develop the BEM formulation and demonstrate its feasibility. The basic BEM formulations for the transient and steady-state cases are first presented. To demonstrate the usefulness of the BEM approach, numerical solutions for 2-D steady-state problems are obtained and compared to analytical solutions. Further, the BEM formulation is applied to model a conjugate problem for an artery imbedded in a perfused heated tissue. Analytical solution is possible when the conduction in the x-direction is negligible. The BEM and analytical results have very good agreement.