osti: 990749
Physics of Plasmas (2010)
United States. Department of Energy.
rep-no: PPPL-4567
Diffusion
ark: ark:/67531/metadc1012951
United States. Department of Energy. Office of Science.
A Regularized Approach for Solving Magnetic Differential Equations and a Revised Iterative Equilibrium Algorithm
Magnetohydrodynamics
Differential Equations
Hudson, S. R.
Algorithms
2010-10-13
Mathematical Solutions Chaos, Computational Physics Magnetohydrodynamics (Mhd)
doi: 10.2172/990749
202Kb
70 Plasma Physics And Fusion Technology
Chaos, Computational Physics Magnetohydrodynamics (Mhd)
Princeton University. Plasma Physics Laboratory.
grantno: DE-ACO2-09CH11466
A method for approximately solving magnetic differential equations is described. The approach is to include a small diffusion term to the equation, which regularizes the linear operator to be inverted. The extra term allows a "source-correction" term to be defned, which is generally required in order to satisfy the solvability conditions. The approach is described in the context of computing the pressure and parallel currents in the iterative approach for computing magnetohydrodynamic equilibria. __________________________________________________