Guiding center simulations on curvilinear grids

Abstract : Semi-Lagrangian guiding center simulations are performed on sinusoidal perturbations of cartesian grids, thanks to the use of a B-spline finite element solver for the Poisson equation and the classical backward semi-Lagrangian method (BSL) for the advection. We are able to reproduce the standard Kelvin-Helmholtz instability test on such grids. When the perturbation leads to a strong distorted mesh, we observe that the solution differs if one takes standard numerical parameters that are used in the cartesian reference case. We can recover good results together with correct mass conservation, by diminishing the time step.
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Submitted on : Thursday, October 8, 2015 - 2:06:00 PM
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Adnane Hamiaz, Michel Mehrenberger, Aurore Back, Pierre Navaro. Guiding center simulations on curvilinear grids. ESAIM: Proceedings, EDP Sciences, 2016, 53, pp.99-119. ⟨10.1051/proc/201653007⟩. ⟨hal-00908500v3⟩

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