特解边界元法数值解三维Pennes方程及其应用  

NUMERICAL METHODS OF THREE-DIMENSIONAL PENNESEQUATION USING PARTICULAR SOLUTION BEM AND THEIR APPLICATIONS

作　　者：刘朝霞[1] 吴声昌[1] 常谦顺[1] 黄振侃[2] 

机构地区：[1]中科院数学与系统科学研究院应用数学研究所,北京100080 [2]京工业大学,北京100022

出　　处：《计算物理》2001年第5期473-476,共4页Chinese Journal of Computational Physics

摘　　要：应用特解边界元法对非稳态的三维Pennes方程求解 ,将解分为一满足泊松方程的通解与一特解之和 ,通解按照边界元法求解 ,特解用分离变量法给出 ,与位置有关的部分采用截断多项式 .逐时间段计算边界元的温度及热流值 ,然后计算域内点的值 .并将该方法用于热疗温度场的数值实例计算 .Particular solution BEM is used to solve three-dimensional Pennes equation.The solution is devided into the common solution of Poisson equation and the particular solution.The common solution is solved by BEM while the particular solution is given by the method of separation of variables.Temperature and heatflux are computed piecewisely in each time step and then the value on the nods in the field is computed.Numerical simulation of cancer hypothermia is given based on this method. [

关 键 词：特解边界元法 Pennes方程 常数边界元 分离变量法 生物数学 生物传热学 

分 类 号：Q61[生物学—生物物理学] O242.21[理学—计算数学]