A fast, accurate and easy to implement Kapur–Rokhlin quadrature scheme for singular integrals in axisymmetric geometries

Toler, Evan; Cerfon, A. J.; Malhotra, D.

doi:10.1017/S002237782300020X

A fast, accurate and easy to implement Kapur–Rokhlin quadrature scheme for singular integrals in axisymmetric geometries

Journal Article · Fri Apr 14 04:00:00 EDT 2023 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/S002237782300020X· OSTI ID:1970062

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Many applications in magnetic confinement fusion require the efficient calculation of surface integrals with singular integrands. The singularity subtraction approaches typically used to handle such singularities are complicated to implement and low-order accurate. In contrast, we demonstrate that the Kapur–Rokhlin quadrature scheme is well-suited for the logarithmically singular integrals encountered for a toroidally axisymmetric confinement system, is easy to implement and is high-order accurate. As an illustration, we show how to apply this quadrature scheme for the efficient and accurate calculation of the normal component of the magnetic field due to the plasma current on the plasma boundary, via the virtual-casing principle.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-86ER53223

OSTI ID:: 1970062

Alternate ID(s):: OSTI ID: 2419321

Journal Information:: Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 2 Vol. 89; ISSN 0022-3778

Publisher:: Cambridge University Press (CUP)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

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