Optimized Fourier representations for three-dimensional magnetic surfaces
The selection of an optimal parametric angle theta describing a closed magnetic flux surface is considered with regard to accelerating the convergence rate of the Fourier series for the Cartesian coordinates x(theta,phi)equivalentR-R/sub 0/ and y(theta,phi)equivalentZ-Z/sub 0/. A system of algebraic equations, which are quadratic in the Fourier amplitudes of x and y, is derived by minimizing the width of the surface power spectrum. The solution of these nonlinear equations, together with the prescribed surface geometry, determines a unique optimal angle. A variational principle is used to solve these constraint equations numerically. Application to the representation of three-dimensional magnetic flux surfaces is considered.
- Research Organization:
- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
- OSTI ID:
- 5883236
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 28:5; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
CALCULATION METHODS
CARTESIAN COORDINATES
COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUILIBRIUM
FLUID MECHANICS
FOURIER ANALYSIS
HYDRODYNAMICS
MAGNETIC FIELD CONFIGURATIONS
MAGNETIC SURFACES
MAGNETOHYDRODYNAMICS
MECHANICS
OPTIMIZATION
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
THREE-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS