Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation

Journal Article · Thu May 15 00:00:00 EDT 1997 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1997.5669· OSTI ID:535388

Buet, C ^[1]; Cordier, ^[2]; Degond, P; Lemou, M ^[3]

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1. CEA-CEL-V, Villeneuve Saint Georges (France)
2. Universite de Paris VI, Paris (France)
3. Universite Paul Sabatier, Toulouse (France)

We present fast numerical algorithms to solve the nonlinear Fokker-Planck-Landau equation in 3D velocity space. The discretization of the collision operator preserves the properties required by the physical nature of the Fokker-Planck-Landau equation, such as the conservation of mass, momentum, and energy, the decay of the entropy, and the fact that the steady states are Maxwellians. At the end of this paper, we give numerical results illustrating the efficiency of these fast algorithms in terms of accuracy and CPU time. 20 refs., 7 figs.

• OSTI ID: 535388
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 133; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
99 GENERAL AND MISCELLANEOUS
ALGORITHMS
ENTROPY
FOKKER-PLANCK EQUATION
NUMERICAL SOLUTION
THREE-DIMENSIONAL CALCULATIONS