FAST ALGORITHMS FOR NUMERICAL, CONSERVATIVE, AND ENTROPY APPROXIMATIONS OF THE FOKKER-PLANCK-LANDAU EQUATION

Authors
BUET C CORDIER S DEGOND P LEMOU M
Citation
C. Buet et al., FAST ALGORITHMS FOR NUMERICAL, CONSERVATIVE, AND ENTROPY APPROXIMATIONS OF THE FOKKER-PLANCK-LANDAU EQUATION, Journal of computational physics, 133(2), 1997, pp. 310-322
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
133
Issue
2
Year of publication
1997
Pages
310 - 322
Database
ISI
SICI code
0021-9991(1997)133:2<310:FAFNCA>2.0.ZU;2-X
Abstract
We present fast numerical algorithms to solve the nonlinear Fokker-Pla nck-Landau equation in 3D velocity space. The discretization of the co llision operator preserves the properties required by the physical nat ure of the Fokker-Planck-Landau equation, such as the conservation of mass, momentum, and energy, the decay of the entropy, and the fact tha t the steady states are Maxwellians. At the end of this paper, we give numerical results illustrating the efficiency of these fast algorithm s in terms of accuracy and CPU time. (C) 1997 Academic Press.