An efficient solution scheme for the spherical-harmonics expansion of the Boltzmann transport equation

被引：11
|
作者：
Vecchi, MC [1 ]
Mohring, J [1 ]
Rudan, M [1 ]
机构：
[1] UNIV KAISERSLAUTERN,INST IND & BUSINESS MATH,D-67663 KAISERSLAUTERN,GERMANY
来源：
IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS | 1997年 / 16卷 / 04期
关键词：
Boltzmann equation; spherical-harmonics expansion; submicrometer devices;
D O I：
10.1109/43.602472
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates a number of numerical schemes applicable to the solution of the Boltzmann transport equation by means of a spherical-harmonics expansion (SHE). A new scheme is proposed that improves the solution at low energies, keeping the desired accuracy in the calculation of the mean quantities while saving a significant amount of CPU time, This is important in view of the applications of the method since the typical number of nodes to be used in the combined space-energy domain is in the range of 10(4)-10(5).
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页码：353 / 361
页数：9
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