Hostname: page-component-848d4c4894-nmvwc Total loading time: 0 Render date: 2024-07-07T14:40:58.474Z Has data issue: false hasContentIssue false

Convective plasma transport modelled with propagators

Published online by Cambridge University Press:  13 March 2009

W. N. G. Hitchon
Affiliation:
Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, Wisconsin 53706, U.S.A.

Abstract

The transport of plasma under the influence of a significant flow velocity in a toroidal stellarator has been modelled using an efficient numerical scheme based on ‘propagators’. The particle density has been calculated in a poloidal cross-section from the fluid particle conservation equation, using a flow velocity and a diffusion coefficient derived from experimentally obtained values. The formation of hollow density profiles during ECH has been examined, by varying the flow velocity v(r,θ) of the bulk of the plasma while ensuring that (its component in the minor-radial direction, averaged over poloidal angle θ) is consistent with experiment. A radial flow does not seem to account for the very hollow profiles observed in experiment. Hollownesses of between 1·5 and 5 were obtained for other plausible forms of v(r, θ).

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Anderson, D. T., Derr, J. A. & Shohet, J. L. 1981 IEEE Trans. Plasma Sci. 9, 212.CrossRefGoogle Scholar
Anderson, D. T. et al. 1985 Bull. Am. Phys. Soc. 30, 1577.Google Scholar
Anderson, F. S. B., Anderson, D. T. and Shohet, J. L. 1982 Bull. Am. Phys. Soc. 27, 934.Google Scholar
Hitchon, W. N. G., Koch, D. J. & Adams, J. B. 1988 Propagator solutions of partial differential equations, applied to plasma transport. Sandia Report SAND88–8652.Google Scholar
Mertens, K. J. S., Hitchon, W. N. G., Anderson, D. T. & Shohet, J. L. 1988 IEEE Trans. Plas. Sci. 16, 296.CrossRefGoogle Scholar
Storlie, C. et al. 1987 IEEE COPS Conf. Rec. Abstracts, 06 1987, p. 32.Google Scholar
Tolliver, J. S. & Hedrick, C. L. 1987 Phys. Fluids, 30, 870.CrossRefGoogle Scholar