Symplectic integration schemes for the ABC flow
Copyright policy )Symplectic integration schemes for the ABC flow
The numerical solution of Arnold-Beltrami-Childress (ABC) flows is investigated. Symplectic integration schemes for the ABC flows are developed. These schemes are explicit and a comparison with a fourth-order Runge-Kutta method is presented. Numerical tests show that the proposed symplectic schemes are more efficient for the calculation of stable orbits.
- Max Planck Society Germany
- Max Planck Institute for Plasma Physics Germany
Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, symplectic integration schemes, Other numerical methods (fluid mechanics), numerical tests, ABC flow, Hamilton equations, Runge-Kutta method, Numerical methods for Hamiltonian systems including symplectic integrators, Arnold-Beltrami-Childress flows, stable orbits
Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, symplectic integration schemes, Other numerical methods (fluid mechanics), numerical tests, ABC flow, Hamilton equations, Runge-Kutta method, Numerical methods for Hamiltonian systems including symplectic integrators, Arnold-Beltrami-Childress flows, stable orbits
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