Comparison of time splitting and backsubstitution methods for integrating Vlasov's equation with magnetic fields

DOI10.1016/j.cpc.2006.02.007zbMath1196.76058arXivphysics/0603208OpenAlexW2164770547WikidataQ62570060 ScholiaQ62570060MaRDI QIDQ710014

D. Kharzeev

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0603208

zbMATH Keywords

method of characteristicsVlasov simulations

Mathematics Subject Classification ID

Related Items (12)

Outflow boundary conditions for the Fourier transformed three-dimensional Vlasov-Maxwell system ⋮ A finite volume formulation of the multi-moment advection scheme for Vlasov simulations of magnetized plasma ⋮ VALIS: a split-conservative scheme for the relativistic 2D Vlasov-Maxwell system ⋮ Two-dimensional full-electromagnetic Vlasov code with conservative scheme and its application to magnetic reconnection ⋮ A parallel low-rank solver for the six-dimensional Vlasov-Maxwell equations ⋮ The \textit{muphy}II code: multiphysics plasma simulation on large HPC systems ⋮ Multi-moment advection scheme for Vlasov simulations ⋮ Numerical Simulations of the Fourier-Transformed Vlasov-Maxwell System in Higher Dimensions—Theory and Applications ⋮ The plasma simulation code: a modern particle-in-cell code with patch-based load-balancing ⋮ Coupled Vlasov and two-fluid codes on GPUs ⋮ Conservative semi-Lagrangian kinetic scheme coupled with implicit finite element field solver for multidimensional Vlasov Maxwell system ⋮ Numerical Simulations Using Eulerian Schemes for the Vlasov–Poisson Model

Uses Software

• Vador

Cites Work

• A numerical scheme for the integration of the Vlasov-Maxwell system of equations
• A critical comparison of Eulerian-grid-based Vlasov solvers
• Comparison of Eulerian Vlasov solvers
• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. I
• A numerical solution to the Vlasov equation
• Waves in a Plasma in a Magnetic Field
• Conservative numerical schemes for the Vlasov equation

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