Geodesic
Guiding center simulations on curvilinear grids
Adnane Hamiaz1 ; Michel Mehrenberger1 ; Aurore Back2 ; Pierre Navaro1
1 IRMA, Université de Strasbourg, 7, rue René Descartes, F-67084 Strasbourg & INRIA-Nancy Grand-Est, projet TONUS
2 Institut Élie Cartan (Mathématiques) Université Henri Poincaré Nancy 1 B.P. 70239, F-54506 Vandoeuvre-lès-Nancy Cedex, France
ESAIM. Proceedings, Tome 53 (2016), pp. 99-119.

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Semi-Lagrangian guiding center simulations are performed on sinusoidal perturbations of cartesian grids, and on deformed polar grid with different boundary conditions. Key ingredients are: 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 standard Kelvin-Helmholtz and diocotron instability tests 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.
DOI : 10.1051/proc/201653007

Adnane Hamiaz 1 ; Michel Mehrenberger 1 ; Aurore Back 2 ; Pierre Navaro 1

1 IRMA, Université de Strasbourg, 7, rue René Descartes, F-67084 Strasbourg & INRIA-Nancy Grand-Est, projet TONUS
2 Institut Élie Cartan (Mathématiques) Université Henri Poincaré Nancy 1 B.P. 70239, F-54506 Vandoeuvre-lès-Nancy Cedex, France 
@article{EP_2016_53_a7,
     author = {Adnane Hamiaz and Michel Mehrenberger and Aurore Back and Pierre Navaro},
     title = {Guiding center simulations on curvilinear grids},
     journal = {ESAIM. Proceedings},
     pages = {99--119},
     publisher = {mathdoc},
     volume = {53},
     year = {2016},
     doi = {10.1051/proc/201653007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201653007/}
}
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Adnane Hamiaz; Michel Mehrenberger; Aurore Back; Pierre Navaro. Guiding center simulations on curvilinear grids. ESAIM. Proceedings, Tome 53 (2016), pp. 99-119. doi : 10.1051/proc/201653007. http://geodesic.mathdoc.fr/articles/10.1051/proc/201653007/

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