Year: 2022
Author: José Antonio Carrillo, Shi Jin, Yijia Tang
Communications in Computational Physics, Vol. 31 (2022), Iss. 4 : pp. 997–1019
Abstract
We consider in this paper random batch particle methods for efficiently solving the homogeneous Landau equation in plasma physics. The methods are stochastic variations of the particle methods proposed by Carrillo et al. [J. Comput. Phys.: X 7: 100066, 2020] using the random batch strategy. The collisions only take place inside the small but randomly selected batches so that the computational cost is reduced to $\mathcal{O}(N)$ per time step. Meanwhile, our methods can preserve the conservation of mass, momentum, energy and the decay of entropy. Several numerical examples are performed to validate our methods.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2021-0200
Communications in Computational Physics, Vol. 31 (2022), Iss. 4 : pp. 997–1019
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Homogeneous Landau equation random batch particle method Coulomb collision.