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

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【作者】 袁益让李长峰刘允欣马丽芹

【Author】 Yi-rang YUAN1, Chang-feng LI 1, Yun-xin LIU 1, Li-qin MA2 (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)

【机构】 Institute of Mathematics, Shandong UniversitySchool of Mathematics and Physics, Qingdao University of Science and Technology

【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.

【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.

【基金】 supported by the Major State Basic Research Development Program of China(No. G19990328);the National Key Technologies R&D Program of China (No. 20050200069);the National Natural Science Foundation of China (Nos. 10771124 and 10372052);the Ph. D. Programs Foundation of Ministry of Eduction of China (No. 20030422647)
  • 【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,2009年08期
  • 【分类号】O241.82;O35
  • 【被引频次】1
  • 【下载频次】61
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