A simplified analytic form for generation of axisymmetric plasma boundaries
An improved method has been formulated for generating analytic boundary shapes as input for axisymmetric MHD equilibria. This method uses the family of superellipses as the basis function, as previously introduced. The improvements are a simplified notation, reduction of the number of simultaneous nonlinear equations to be solved, and the realization that not all combinations of input parameters admit a solution to the nonlinear constraint equations. The method tests for the existence of a self-consistent solution and, when no solution exists, it uses a deterministic method to find a nearby solution. As a result, examples of generation of boundaries, including tests with an equilibrium solver, are given.
- Publication Date:
- Grant/Contract Number:
- FC02-04ER54698
- Type:
- Accepted Manuscript
- Journal Name:
- Plasma Physics and Controlled Fusion
- Additional Journal Information:
- Journal Volume: 59; Journal Issue: 4; Journal ID: ISSN 0741-3335
- Publisher:
- IOP Science
- Research Org:
- General Atomics, San Diego, CA (United States)
- Sponsoring Org:
- USDOE Office of Nuclear Energy (NE); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; MHD equilibria; boundary shape; X points
- OSTI Identifier:
- 1356347
- Alternate Identifier(s):
- OSTI ID: 1374816
Luce, Timothy C. A simplified analytic form for generation of axisymmetric plasma boundaries. United States: N. p.,
Web. doi:10.1088/1361-6587/aa5393.
Luce, Timothy C. A simplified analytic form for generation of axisymmetric plasma boundaries. United States. doi:10.1088/1361-6587/aa5393.
Luce, Timothy C. 2017.
"A simplified analytic form for generation of axisymmetric plasma boundaries". United States.
doi:10.1088/1361-6587/aa5393. https://www.osti.gov/servlets/purl/1356347.
@article{osti_1356347,
title = {A simplified analytic form for generation of axisymmetric plasma boundaries},
author = {Luce, Timothy C.},
abstractNote = {An improved method has been formulated for generating analytic boundary shapes as input for axisymmetric MHD equilibria. This method uses the family of superellipses as the basis function, as previously introduced. The improvements are a simplified notation, reduction of the number of simultaneous nonlinear equations to be solved, and the realization that not all combinations of input parameters admit a solution to the nonlinear constraint equations. The method tests for the existence of a self-consistent solution and, when no solution exists, it uses a deterministic method to find a nearby solution. As a result, examples of generation of boundaries, including tests with an equilibrium solver, are given.},
doi = {10.1088/1361-6587/aa5393},
journal = {Plasma Physics and Controlled Fusion},
number = 4,
volume = 59,
place = {United States},
year = {2017},
month = {2}
}