Semi-implicit method for long time scale magnetohydrodynamic computations in three dimensions
Journal of Computational Physics
A method for incorporating Gauss' lasw into electromagnetic pic codes
Journal of Computational Physics
Semi-implicit magnetohydrodynamic calculations
Journal of Computational Physics
Compressible linear and nonlinear resistive MHD calculations in toroidal geometry
Journal of Computational Physics
Stability of algorithms for waves with large flows
Journal of Computational Physics
Divergence correction techniques for Maxwell solvers based on a hyperbolic model
Journal of Computational Physics
A triangular finite element with first-derivative continuity applied to fusion MHD applications
Journal of Computational Physics
An overview of the Advanced CompuTational Software (ACTS) collection
ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
A fully implicit numerical method for single-fluid resistive magnetohydrodynamics
Journal of Computational Physics
Preserving monotonicity in anisotropic diffusion
Journal of Computational Physics
An iterative semi-implicit scheme with robust damping
Journal of Computational Physics
Bézier surfaces and finite elements for MHD simulations
Journal of Computational Physics
Calculations of two-fluid magnetohydrodynamic axisymmetric steady-states
Journal of Computational Physics
Finite element form of FDV for widely varying flowfields
Journal of Computational Physics
Scalable computation of streamlines on very large datasets
Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis
Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling
Journal of Computational Physics
Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics
Journal of Computational Physics
Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
Journal of Computational Physics
Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas
Journal of Computational Physics
VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science
A finite element/Fourier treatment of the Fokker-Planck equation
Journal of Computational Physics
Hi-index | 31.51 |
A conforming representation composed of 2D finite elements and finite Fourier series is applied to 3D nonlinear non-ideal magnetohydrodynamics using a semi-implicit time-advance. The self-adjoint semi-implicit operator and variational approach to spatial discretization are synergistic and enable simulation in the extremely stiff conditions found in high temperature plasmas without sacrificing the geometric flexibility needed for modeling laboratory experiments. Growth rates for resistive tearing modes with experimentally relevant Lundquist number are computed accurately with time-steps that are large with respect to the global Alfvén time and moderate spatial resolution when the finite elements have basis functions of polynomial degree (p) two or larger. An error diffusion method controls the generation of magnetic divergence error. Convergence studies show that this approach is effective for continuous basis functions with p ≥ 2, where the number of test functions for the divergence control terms is less than the number of degrees of freedom in the expansion for vector fields. Anisotropic thermal conduction at realistic ratios of parallel to perpendicular conductivity (χ||/χ⊥) is computed accurately with p ≥ 3 without mesh alignment. A simulation of tearingmode evolution for a shaped toroidal tokamak equilibrium demonstrates the effectiveness of the algorithm in nonlinear conditions, and its results are used to verify the accuracy of the numerical anisotropic thermal conduction in 3D magnetic topologies.