Numerical comparison between two spherical harmonics expansion models and a kinetic equation
نویسندگان
چکیده
منابع مشابه
Numerical comparison between two spherical harmonics expansion models and a kinetic equation
In this paper, we investigate the reliability of two diffusion models, the SHE and coupled SHE models, by accurate numerical comparisons with a Boltzmann like equation. These models describe the transport of particles subject to collisions with the medium. Comparisons are given at three levels of description: at small times (transient regime), at the diffusion time (diffusion regime) and for lo...
متن کاملA modular nodal method for solving the neutron transport equation using spherical harmonics in two dimensions
Inanc, Feyzi, "A modular nodal method for solving the neutron transport equation using spherical harmonics in two dimensions " (1989). Retrospective Theses and Dissertations. Paper 9200. The most advanced technology has been used to photo graph and reproduce this manuscript from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissert...
متن کاملNumerical Solution of the Boltzmann Transport Equation using Spherical Harmonics Expansions
This thesis deals with the numerical solution of the Boltzmann transport equation using an expansion of the distribution function in spherical harmonics for the purpose of electronic device simulation. Both the mathematical and physical backgrounds are discussed, then the Boltzmann transport equation is projected onto spherical harmonics without posing unnecessary restrictions on the energy ban...
متن کاملThe Spherical Harmonics Expansion Method for Assessing Hot Carrier Degradation
An overview of recent developments for solving the Boltzmann transport equation for semiconductors in a deterministic manner using spherical harmonics expansions is given. The method is an attractive alternative to the Monte Carlo method, since it does not suffer from inherent stochastic limitations such as the difficulty of resolving small currents, excessive execution times, or the inability ...
متن کاملModified spherical harmonics method for solving the radiative transport equation
A new effective approach to solving the three-dimensional radiative transport equation with an arbitrary phase function is proposed. The solution depends on eigenvectors and eigenvalues of several symmetrical tridiagonal matrices of infinite size. The matrices must be truncated and diagonalized numerically. Then, given eigenvectors and eigenvalues of these matrices, the dependence of the soluti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2004
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2004.10.009