High-Order Accurate Conservative Finite Difference Methods for Vlasov Equations in 2D+2V

DOI10.1137/19M1238551zbMath1433.65154OpenAlexW2974273439MaRDI QIDQ5238754

Andre Gianesini Odu, S. Brunner, Richard Berger, William J. Arrighi, Thomas Chapman, Jeffrey W. Banks

Publication date: 28 October 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1238551

zbMATH Keywords

finite volumesVlasov equationWENO scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Computational density functional analysis in statistical mechanics (82M36)

Related Items (6)

Essentially non-oscillatory and weighted essentially non-oscillatory schemes ⋮ Highly accurate monotonicity-preserving semi-Lagrangian scheme for Vlasov-Poisson simulations ⋮ Fourth-order accurate fractional-step IMEX schemes for the incompressible Navier-Stokes equations on moving overlapping grids ⋮ A Numerical study of Landau damping with PETSc-PIC ⋮ Exponential DG methods for Vlasov equations ⋮ Using linear multistep methods for the time stepping in Vlasov-Poisson simulations

Uses Software

• Vador
• gs2
• CMPGRD

Cites Work

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