Calculation of axially symmetric resistive steady-state plasma equilibria in terms of pressure distributions
✍ Scribed by H.P. Zehrfeld; F. Casci
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 621 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0010-4655
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✦ Synopsis
This problem consists in (1) the treatment of the partial differential equation for the poloidal magnetic flux ~I'in terms of distributions of plasma pressure p ( ~I') and poloidal current J( ~l') which for ideal equilibria are arbitrary, and (2) in a consideration of additional equations for these distributions due to electrical resistivity ~. Considering parallel resistivity ~j1 only we retain the dependence on a specified pressure profile. Satisfying the integrability conditions of a complete set of corresponding MHD equations by solution of a system of ordinary differential equations for the toroidal and poloidal currents I and J, respectively, we are able to formulate a scheme for the iterative determination of the shape of the magnetic surfaces. For the numerical solution of the appropriate partial differential equation in each iteration step a direct solver (in form of a CRAY-optimized flux routine on the basis of Buneman's double cyclic reduction method) is used. Theory and computational results of such an approach are presented.