Numerical Method and Analysis of Computational Fluid Mechanics for Photoelectric Semiconducting Detector
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摘要: 对三维光导型半导体探测器瞬态问题的计算流体力学数值模拟,提出了一类修正迎风分数步差分格式.应用变分形式、能量方法、归纳法假定、微分方程的先验估计理论和技巧,得到最佳阶误差估计.该文数值方法已成功地应用到光导型半导体探测器瞬态问题的数值模拟中.Abstract: For computational fluid mechanics simulations of a threedimensional photoelectric semiconducting detector, a modified upwind finite difference fractional step scheme was proposed. The optimal error estimated by using techniques including calculus of variations, energy method, induction hypothesis, and a priore stimates were obtained. The proposed scheme has been applied to simulate the photoelectric semiconducting detector.
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[1] Bank R E,Fichtner W M,Rose D J,et al.Transient simulation of silicon devices and circuits[J].IEEE Computer-Aided Design,1985,6:436-451. [2] Jerome J M.Mathematical Theory and Approximation of Semiconductor Models[M]. Philadelphia:SIAM,1994. [3] Seidmann T I. Time dependent solution of a nonlinear system arising in semiconductor theory—Ⅱ:bonderics and periodicity[J].Nonlinear Analysis,1986,10:490-502. [4] 孙承伟,陆启生,范正修,等.激光辐照效应[M].北京:国防工业出版社,2002. [5] 何野,魏同立.半导体器件的计算机模拟方法[M].北京:科学出版社,1989. [6] Douglas J Jr,YUAN Yi-rang. Finite difference methods for the transient behavior of a semiconductor device[J].Mat Apli Comp,1987,6(1):25-38. [7] YUAN Yi-rang,DING Lan-ying,YANG Hong. A new method and theoretical analysis of numerical analysis of numerical analog of semiconductor[J].Chinese Science Bulletin,1982,27(7):790-795. [8] 袁益让.多层渗流方程组合系统的迎风分数步差分方法[J].中国科学,A辑,2001,31(9):791-806. [9] YUAN Yi-rang. The upwind finite difference fractional steps methods for two-phase compressible flows in porous media[J].Numer Methods Partial Differential Eq,2003,19(1):67-88. doi: 10.1002/num.10036 [10] Ewing R E,Lazarov R D,Vassilev A T. Finite difference scheme for parabolic problems on a composite grids with refinement in time and space[J].SIAM J Numer Anal,1994,31(6):1605-1622. doi: 10.1137/0731083 [11] Ewing R E. Mathematical modeling and simulation for multiphase flow in porous media[A]. In:CHEN Zhang-xin. Ewing R E. Shi Z C,Eds.Numerical Treatment of Muffiphase Flows in Porous Media. Lecture Notes in Physics[C].V 552. New York:Springer,2001,19-29. [12] 袁益让. 半导体瞬态问题计算方法的新进展[J]. 计算物理,2009,26(3):317-324.
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