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Aligned interpolation and application to drift kinetic semi-Lagrangian simulations with oblique magnetic field in cylindrical geometry

Abstract : We introduce field aligned interpolation for Semi-Lagrangian schemes, adapting a method developed by Hariri-Ottaviani [7] to the semi-Lagrangian context. This approach is vali-dated on the constant oblique advection equation and on a 4D drift kinetic model with oblique magnetic field in cylindrical geometry. The strength of this method is that one can reduce the number of points in the longitudinal direction. More precisely, we observe that we gain a factor |n| |n+mι| (where ι is the inverse safety factor), with respect to the classical approach, for the typical function sin(mθ + nϕ).
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https://hal.inria.fr/hal-01098373
Contributor : Michel Mehrenberger Connect in order to contact the contributor
Submitted on : Monday, January 5, 2015 - 4:31:48 PM
Last modification on : Thursday, January 20, 2022 - 5:29:37 PM
Long-term archiving on: : Wednesday, June 3, 2015 - 12:15:54 PM

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  • HAL Id : hal-01098373, version 1

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Guillaume Latu, Michel Mehrenberger, M Ottaviani, Eric Sonnendrücker. Aligned interpolation and application to drift kinetic semi-Lagrangian simulations with oblique magnetic field in cylindrical geometry. [Research Report] IRMA. 2014. ⟨hal-01098373⟩

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