Mapping techniques for solving non-integrable Hamiltonian systemsFunded under: FP2-FUSION 10C
The detailed calculation of magnetic field lines is of fundamental importance in research into controlled thermonuclear fusion. Although the case of a tokamak is greatly simplified by the condition that the B(phi) component of the magnetic vector field is everywhere non-zero, the sets of B field line equations expressed in the form of a Hamiltonian system are generally non-linear and coupled. Traditional analytic methods for their solution are available only in a few special cases. This report is devoted to the numerical solution of the above system. An advanced mapping technique suitable for the solution of Hamiltonian initial value problems is described. Direct integration methods are compared with the mapping procedure. Finally, the mapping procedure is applied to the problem of stochasticity of toroidal magnetic fields.
Bibliographic Reference: Report: JET-R(92)05 EN (1992) 45 pp.
Availability: Available from the Publications Officer, JET Joint Undertaking, Abingdon, Oxon. OX14 3EA (GB)
Record Number: 199211174 / Last updated on: 1994-11-29
Original language: en
Available languages: en