PINCH COLLAPSE
Technical Report
·
OSTI ID:4056287
Mathematical methods for solving the numerical problems of pinch collapse were developed for the dynamical pinch where the inertia terms are not to be neglected. A fully ionized plasma to which cylindrically symmetric magnetic fields were applied was assumed. The plasma was treated in the hydromagnetic approximation including electric and thermal conductivity. The problem of treating a small diffusion term in an otherwise hyperbolic set of equations was solved by an approximate method. An explicit Eulerian scheme for fast pinches is given in which the timestep is bounded by the Alfven velocity. To avoid such a restriction for rather slow pinches an implicit scheme was developed. The method for solving the hydromagnetic set of equations consists of neglecting in each timestep the interaction between diffusion and the usual magnetohydrodynamic terms. (M.C.G.)
- Research Organization:
- United Kingdom Atomic Energy Authority. Research Group. Atomic Energy Research Establishment, Harwell, Berks, England
- NSA Number:
- NSA-15-015121
- OSTI ID:
- 4056287
- Report Number(s):
- AERE-R-3383
- Country of Publication:
- United Kingdom
- Language:
- English
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