A Fourier spectral method for homogeneous boltzmann equations
作者:
Lorenzo Pareschi,
Benoit Perthame,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1996)
卷期:
Volume 25,
issue 3-5
页码: 369-382
ISSN:0041-1450
年代: 1996
DOI:10.1080/00411459608220707
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A numerical method for the solution of the spatially homogeneous Boltzmann equation is proposed. The scheme is based first in expanding the distribution function in Fourier series, then in finite difference discretizing in time and velocity space. This allows an accurate evaluation of the collision operator with a reduced computational cost. Moreover, for a class of collision kernels, this approach leads to a quadrature formula that can be computed through a fast algorithm. First results on a twodimensional problem confirm the efficiency of the method.
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