Bulletin of the American Physical Society
60th Annual Meeting of the APS Division of Plasma Physics
Volume 63, Number 11
Monday–Friday, November 5–9, 2018; Portland, Oregon
Session JO5: MHD Equilibrium and Stability, Reconnection
2:00 PM–4:36 PM,
Tuesday, November 6, 2018
OCC
Room: B113-114
Chair: Nikolas Logan, Princeton Plasma Physics Lab
Abstract ID: BAPS.2018.DPP.JO5.10
Abstract: JO5.00010 : Fast BIE method for computing force-free magnetic fields in toroidal geometries
3:48 PM–4:00 PM
Presenter:
Dhairya Malhotra
(New York University)
Authors:
Dhairya Malhotra
(New York University)
Antoine J Cerfon
(Courant Inst)
Mike O'Neil
(New York University)
In our scheme, we compute Taylor states using the generalized Debye source formulation for the time-harmonic Maxwell's equations, which results in a well-conditioned second-kind boundary integral equations. The boundary integral formulation requires fewer unknowns since we do not need to discretize the entire volume and this results in significant savings in work. However, the computation of the boundary integral operator requires efficient high-order quadratures for singular and near singular integrals on complex three-dimensional surfaces. We will discuss fast algorithms for such quadratures. We will present numerical results to show the accuracy, efficiency and scalability of our method for several challenging geometries.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DPP.JO5.10
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