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Random Batch Particle Methods for the Homogeneous Landau Equation

Random Batch Particle Methods for the Homogeneous Landau Equation
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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.

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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.

Author Details

José Antonio Carrillo

Shi Jin

Yijia Tang

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