Numerical Method and Analysis of Computational Fluid Mechanics for Photoelectric Semiconducting Detector

YUAN Yi-rang; LI Chang-feng; LIU Yun-xin; MA Li-qin

doi:10.3879/j.issn.1000-0887.2009.08.005

Volume 30 Issue 8

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YUAN Yi-rang, LI Chang-feng, LIU Yun-xin, MA Li-qin. Numerical Method and Analysis of Computational Fluid Mechanics for Photoelectric Semiconducting Detector[J]. Applied Mathematics and Mechanics, 2009, 30(8): 927-938. doi: 10.3879/j.issn.1000-0887.2009.08.005

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Numerical Method and Analysis of Computational Fluid Mechanics for Photoelectric Semiconducting Detector

doi: 10.3879/j.issn.1000-0887.2009.08.005

1.
Institute of Mathematics, Shandong University, Jinan 250100, P. R. China;

Received Date: 2008-07-30
Rev Recd Date: 2009-06-12
Publish Date: 2009-08-15

Abstract

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.
- photoelectric detector,
- fluid mechanics model,
- upwind fractional step,
- theoretical analysis,
- actual application

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References

[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.