Solving the Vlasov equation for one-dimensional models with long range interactions on a GPU
arXiv:1206.3229 · doi:10.1016/j.cpc.2012.08.005
Abstract
We present a GPU parallel implementation of the numeric integration of the Vlasov equation in one spatial dimension based on a second order time-split algorithm with a local modified cubic-spline interpolation. We apply our approach to three different systems with long-range interactions: the Hamiltonian Mean Field, Ring and the self-gravitating sheet models. Speedups and accuracy for each model and different grid resolutions are presented.
References in corpus (8)
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Collisionless relaxation in non-neutral plasmas
- Collisionless relaxation in gravitational systems: From violent relaxation to gravothermal collapse
- Core-halo distribution in the Hamiltonian Mean-Field Model
- Quasi-stationary states in the self-gravitating sheet model
- Statistical Mechanics of 1d Self-Gravitating Systems: The Core-Halo Distribution
- Ergodicity and Central Limit Theorem in Systems with Long-Range Interactions
- Numerical simulations of the Fourier transformed Vlasov-Maxwell system in higher dimensions --- Theory and applications
Cited by in corpus (5)
- Nonequilibrium Statistical Mechanics of Systems with Long-Range Interactions: Ubiquity of Core-Halo Distributions
- Dynamics and physical interpretation of quasi-stationary states in systems with long-range interactions
- Trapping scaling for bifurcations in Vlasov systems
- Dynamics of One-dimensional Self-gravitating Systems Using Hermite-Legendre Polynomials
- Towards a classification of bifurcations in Vlasov equations