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Parallel Integro-Differential MHD FEM FMM Solver
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Reception
Poster
TimeTuesday, July 306:30pm - 8:30pm
LocationCrystal Foyer and Crystal B
DescriptionWe numerically approximate the solution to the resistive magnetohydrodynamics (MHD) equations in a velocity-current, integro-differential formulation. The linearized and discretized MHD system is solved using the finite element method (FEM) and the freely available, open-source, differential equation software library deal.ii (capable of scaling to over hundreds-of-thousands of processors). The MHD system's magnetic field integral equation is approximated by incorporating a parallel, multi-level fast multipole method (MLFMM) into the deal.ii open-source library. The resulting MHD algebraic system is solved using the Krylov subspace method GMRES and a Schur-complement preconditioner. Examples are simulated to assess parallelization and convergence rates.