Constructing nested coordinates inside strongly shaped toroids using an action principle
A new approach for constructing polar-like boundary-conforming coordinates inside a toroid with strongly shaped cross-sections is presented. A coordinate mapping is obtained through a variational approach, which involves identifying extremal points of a proposed action in the mapping space from [0,2π]2×[0,1] to a toroidal domain in $$\mathbb{R}$$3. This approach employs an action built on the squared Jacobian and radial length. Extensive testing is conducted on general toroidal boundaries using a global Fourier–Zernike basis via action minimisation. The results demonstrate successful coordinate construction capable of accurately describing strongly shaped toroidal domains. The coordinate construction is successfully applied to the computation of three-dimensional magnetohydrodynamic equilibria in the GVEC code where the use of traditional coordinate construction by interpolation from the boundary failed.
- Research Organization:
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
- Sponsoring Organization:
- USDOE; Simons Foundation
- Grant/Contract Number:
- AC02-09CH11466
- OSTI ID:
- 2496689
- Journal Information:
- Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 6 Vol. 90; ISSN 0022-3778
- Publisher:
- Cambridge University PressCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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