Computation of MHD equilibria by a quasi-inverse finite hybrid element approach
Journal of Computational Physics - Keith V. Roberts Memorial Issue
Computer simulation using particles
Computer simulation using particles
Contour dynamics for the Euler equations in two dimensions
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Multigrid
An Eulerian gyrokinetic-Maxwell solver
Journal of Computational Physics
Approximations for Digital Computers
Approximations for Digital Computers
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Hi-index | 31.45 |
There is great interest in the properties of extremely high-β magnetohydrodynamic equilibria in axisymmetric toroidal geometry and the stability of such equilibria. However, few equilibrium codes maintain solid numerical behavior as beta approaches unity. The free-boundary algorithm presented herein utilizes a numerically stabilized multigrid method, current density input, position control, magnetic axis search, and dynamically adjusted simulated annealing. This approach yields numerically robust behavior in the spectrum of cases ranging from low to very high-β configurations. As the convergence time depends linearly on the total number of grid points, the production of extremely fine, low-error equilibria becomes possible. Such a code facilitates a variety of intriguing applications which include the exploration of the stability of extreme Shafranov shift equilibria.