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Author(s):
T.-H. Watanabe and H. Sugama
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Title:
Vlasov and Drift Kinetic Simulation Methods Based on the Symplectic Integrator
Date of publication:
Feb. 2004
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Key words:
Vlasov simulation, drift kinetic simulation, symplectic integrator, simulation method
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Abstract:
Vlasov and drift kinetic simulation methods based on the symplectic integrators are benchmarked for test problems on the linear and nonlinear Landau dampings and the Kelvin-Helmholtz (K-H) instability. The explicit symplectic integrator for the separable Hamiltonian straightforwardly leads to generalization of the splitting scheme for the Vlasov-Poisson system. The Nth-order version improves the total energy conservation decreasing the error as propto Delta t^N where Deltat denotes the time step size. An Eulerian drift kinetic simulation scheme derived from the implicit symplectic integrator for the non-separable Hamiltonian exactly satisfies the conservation of the energy and the enstrophy in the K-H instability, and results in successful application to the plasma echo.
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