An Efficient Solution Scheme for the Spherical‐HarmonicsExpansion of the Boltzmann Transport Equation Appliedto Two‐Dimensional Devices | Zendy

M.C. Vecchi | Zendy; Jan Möhring | Zendy; M. Rudan | Zendy

Open Access

An Efficient Solution Scheme for the Spherical‐HarmonicsExpansion of the Boltzmann Transport Equation Appliedto Two‐Dimensional Devices

Author(s) -

M.C. Vecchi,

Jan Möhring,

M. Rudan

Publication year - 1998

Publication title -

vlsi design

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.123

H-Index - 24

eISSN - 1065-514X

pISSN - 1026-7123

DOI - 10.1155/1998/95248

Subject(s) - spherical harmonics , boltzmann equation , harmonics , scheme (mathematics) , boltzmann constant , domain (mathematical analysis) , range (aeronautics) , space (punctuation) , energy (signal processing) , mathematical analysis , mathematics , convection–diffusion equation , mathematical optimization , computer science , physics , engineering , quantum mechanics , aerospace engineering , statistics , voltage , operating system

This paper presents a novel numerical scheme applicable to the solution of the Boltzmanntransport equation by means of a spherical-harmonics expansion. This scheme improves thesolution at low energies, keeping the desired accuracy in the calculation of the mean quantitieswhile saving a significant amount of CPU time. This is important in view of the applicationsof the method, since the typical number of nodes to be used in the combinedspace-energy domain is in the range of 104105

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