Solving the Vlasov equation in complex geometries

Abiteboul, J., et al. Cancès, E., et al, eds. "Solving the Vlasov equation in complex geometries." ESAIM: Proceedings 32 (2011): 103-117. <http://eudml.org/doc/251238>.

@article{Abiteboul2011,
abstract = {This paper introduces an isoparametric analysis to solve the Vlasov equation with a semi-Lagrangian scheme. A Vlasov-Poisson problem modeling a heavy ion beam in an axisymmetric configuration is considered. Numerical experiments are conducted on computational meshes targeting different geometries. The impact of the computational grid on the accuracy and the computational cost are shown. The use of analytical mapping or Bézier patches does not induce a too large computational overhead and is quite accurate. This approach successfully couples an isoparametric analysis with a semi-Lagrangian scheme, and we expect to apply it to a gyrokinetic Vlasov solver. },
author = {Abiteboul, J., Latu, G., Grandgirard, V., Ratnani, A., Sonnendrücker, E., Strugarek, A.},
editor = {Cancès, E., Crouseilles, N., Guillard, H., Nkonga, B., Sonnendrücker, E.},
journal = {ESAIM: Proceedings},
keywords = {Vlasov-Poisson problem},
language = {eng},
month = {11},
pages = {103-117},
publisher = {EDP Sciences},
title = {Solving the Vlasov equation in complex geometries},
url = {http://eudml.org/doc/251238},
volume = {32},
year = {2011},
}

TY - JOUR
AU - Abiteboul, J.
AU - Latu, G.
AU - Grandgirard, V.
AU - Ratnani, A.
AU - Sonnendrücker, E.
AU - Strugarek, A.
AU - Cancès, E.
AU - Crouseilles, N.
AU - Guillard, H.
AU - Nkonga, B.
AU - Sonnendrücker, E.
TI - Solving the Vlasov equation in complex geometries
JO - ESAIM: Proceedings
DA - 2011/11//
PB - EDP Sciences
VL - 32
SP - 103
EP - 117
AB - This paper introduces an isoparametric analysis to solve the Vlasov equation with a semi-Lagrangian scheme. A Vlasov-Poisson problem modeling a heavy ion beam in an axisymmetric configuration is considered. Numerical experiments are conducted on computational meshes targeting different geometries. The impact of the computational grid on the accuracy and the computational cost are shown. The use of analytical mapping or Bézier patches does not induce a too large computational overhead and is quite accurate. This approach successfully couples an isoparametric analysis with a semi-Lagrangian scheme, and we expect to apply it to a gyrokinetic Vlasov solver.
LA - eng
KW - Vlasov-Poisson problem
UR - http://eudml.org/doc/251238
ER -