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 l 2-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.
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Communicated by Zhe-wei ZHOU
Project 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), and the Ph. D. Programs Foundation of Ministry of Eduction of China (No. 20030422647)
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Yuan, Yr., Li, Cf., Liu, Yx. et al. Numerical method and analysis of computational fluid mechanics for photoelectric semiconducting detector. Appl. Math. Mech.-Engl. Ed. 30, 991–1002 (2009). https://doi.org/10.1007/s10483-009-0805-x
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DOI: https://doi.org/10.1007/s10483-009-0805-x
Key words
- photoelectric detector
- fluid mechanics model
- upwind fractional step
- theoretical analysis
- actual application