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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (8): 991-1002.doi: https://doi.org/10.1007/s10483-009-0805-x

• Articles • 上一篇    下一篇

Numerical method and analysis of computational fluid mechanics for photoelectric semiconducting detector

袁益让1 李长峰1 刘允欣1 马丽芹2   

  1. 1. Institute of Mathematics, Shandong University, Jinan 250100, P. R. China;
    2. School of Mathematics and Physics, Qingdao University of Science and Technology,Qingdao 266042, Shandong Province, P. R. China
  • 收稿日期:2008-07-30 修回日期:2009-06-12 出版日期:2009-08-01 发布日期:2009-08-01

Numerical method and analysis of computational fluid mechanics for photoelectric semiconducting detector

 YUAN Yi-Rang1, LI Chang-Feng1, LIU Yun-Xin1, MA Li-Qin2   

  1. 1. Institute of Mathematics, Shandong University, Jinan 250100, P. R. China;
    2. School of Mathematics and Physics, Qingdao University of Science and Technology,Qingdao 266042, Shandong Province, P. R. China
  • Received:2008-07-30 Revised:2009-06-12 Online:2009-08-01 Published:2009-08-01

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摘要： We propose a modified upwind finite difference fractional step scheme for the computational fluid mechanics simulations of a three-dimensional photoelectric semiconductor detector. We obtain the optimal l2-norm error estimates by using the techniques including the calculus of variations, the energy methods, the induction hypothesis, and a priori estimates. The proposed scheme is successfully applied to the simulation of the
photoelectric semiconductor detectors.

关键词: photoelectric detector, fluid mechanics model, upwind fractional step, theoretical analysis, actual application

Abstract: We propose a modified upwind finite difference fractional step scheme for the computational fluid mechanics simulations of a three-dimensional photoelectric semiconductor detector. We obtain the optimal l2-norm error estimates by using the techniques including the calculus of variations, the energy methods, the induction hypothesis, and a priori estimates. The proposed scheme is successfully applied to the simulation of the
photoelectric semiconductor detectors.

Key words: photoelectric detector, fluid mechanics model, upwind fractional step, theoretical analysis, actual application

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