Numerical solution of the Vlasov-Poisson equations using a semi-Lagrangian WENO scheme implemented on GPU-Reference-Cited by-同舟云学术

Numerical solution of the Vlasov-Poisson equations using a semi-Lagrangian WENO scheme implemented on GPU

Published:2019-11-01 Issue:1 Volume:1404 Page:012119
ISSN:1742-6588
Container-title:Journal of Physics: Conference Series
language:
Short-container-title:J. Phys.: Conf. Ser.

Author:

Malkov E A,Poleshkin S O,Shershnev A A,Kudryavtsev A N

Abstract

Abstract A numerical method for solving the Vlasov–Poisson equations using a high-order semi-Lagrange conservative WENO scheme is developed. The Vlasov–Poisson equations govern evolution of the collisionless self-interacting medium and are widely used in plasma physics and astrophysics, in particular for modeling dynamics of galactic systems. The method is implemented for computations on Graphical Processing Units (GPUs). The GPU code is validated using an exact unsteady analytical solution describing nonlinear oscillations of a plane self-gravitating layer. The comparison with numerical results obtained with the serial CPU code show a significant, up to 50 times, speed-up of the computations.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Link

https://iopscience.iop.org/article/10.1088/1742-6596/1404/1/012119/pdf

Reference11 articles.

1. Multidimensional Vlasov–Poisson Simulations with High-order Monotonicity- and Positivity-preserving Schemes

2. One-dimensional self-gravitating sheet model and Lynden-Bell statistics

3. Non-linear models of non-stationary self-gravitating systems and their stability problem

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