MOMCON: A spectral code for obtaining three-dimensional magnetohydrodynamic equilibria

✍ Scribed by S.P. Hirshman; D.K. Lee

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 869 KB
• Volume: 39
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(86)90127-x

✦ Synopsis

A new code, MOMCON (spectral moments code with constraints), is described that computes three-dimensional ideal magnetohydrodynamic (MHD) equilibria in a fixed toroidal domain using a Fourier expansion for the inverse coordinates (R, Z) representing nested magnetic surfaces. A set of nonlinear coupled ordinary differential equations for the spectral coefficients of (R, Z) is solved using an accelerated steepest descent method. A stream function, X, is introduced to improve the mode convergence properties of the Fourier series for R and Z. The convergence rate of the R -Z spectra is optimized on each flux surface by solving nonlinear constraint equations relating the m 2 spectral coefficients of R and Z.