New Resolution Strategy for Multi-scale Reaction Waves using Time Operator Splitting and Space Adaptive Multiresolution: Application to Human Ischemic Stroke*

Duarte, Max, et al. Louvet, Violaine, and Massot, Marc, eds. "New Resolution Strategy for Multi-scale Reaction Waves using Time Operator Splitting and Space Adaptive Multiresolution: Application to Human Ischemic Stroke*." ESAIM: Proceedings 34 (2011): 277-290. <http://eudml.org/doc/251232>.

@article{Duarte2011,
abstract = {We tackle the numerical simulation of reaction-diffusion equations modeling multi-scale reaction waves. This type of problems induces peculiar difficulties and potentially large stiffness which stem from the broad spectrum of temporal scales in the nonlinear chemical source term as well as from the presence of large spatial gradients in the reactive fronts, spatially very localized. A new resolution strategy was recently introduced ? that combines a performing time operator splitting with high oder dedicated time integration methods and space adaptive multiresolution. Based on recent theoretical studies of numerical analysis, such a strategy leads to a splitting time step which is not restricted neither by the fastest scales in the source term nor by stability limits related to the diffusion problem, but only by the physics of the phenomenon. In this paper, the efficiency of the method is evaluated through 2D and 3D numerical simulations of a human ischemic stroke model, conducted on a simplified brain geometry, for which a simple parallelization strategy for shared memory architectures was implemented, in order to reduce computing costs related to “detailed chemistry” features of the model. },
author = {Duarte, Max, Massot, Marc, Descombes, Stéphane, Tenaud, Christian, Dumont, Thierry, Louvet, Violaine, Laurent, Frédérique},
editor = {Louvet, Violaine, Massot, Marc},
journal = {ESAIM: Proceedings},
keywords = {Reaction-diffusion; operator splitting; adaptive multiresolution; ischemic stroke; parallel computing; reaction-diffusion},
language = {eng},
month = {12},
pages = {277-290},
publisher = {EDP Sciences},
title = {New Resolution Strategy for Multi-scale Reaction Waves using Time Operator Splitting and Space Adaptive Multiresolution: Application to Human Ischemic Stroke*},
url = {http://eudml.org/doc/251232},
volume = {34},
year = {2011},
}

TY - JOUR
AU - Duarte, Max
AU - Massot, Marc
AU - Descombes, Stéphane
AU - Tenaud, Christian
AU - Dumont, Thierry
AU - Louvet, Violaine
AU - Laurent, Frédérique
AU - Louvet, Violaine
AU - Massot, Marc
TI - New Resolution Strategy for Multi-scale Reaction Waves using Time Operator Splitting and Space Adaptive Multiresolution: Application to Human Ischemic Stroke*
JO - ESAIM: Proceedings
DA - 2011/12//
PB - EDP Sciences
VL - 34
SP - 277
EP - 290
AB - We tackle the numerical simulation of reaction-diffusion equations modeling multi-scale reaction waves. This type of problems induces peculiar difficulties and potentially large stiffness which stem from the broad spectrum of temporal scales in the nonlinear chemical source term as well as from the presence of large spatial gradients in the reactive fronts, spatially very localized. A new resolution strategy was recently introduced ? that combines a performing time operator splitting with high oder dedicated time integration methods and space adaptive multiresolution. Based on recent theoretical studies of numerical analysis, such a strategy leads to a splitting time step which is not restricted neither by the fastest scales in the source term nor by stability limits related to the diffusion problem, but only by the physics of the phenomenon. In this paper, the efficiency of the method is evaluated through 2D and 3D numerical simulations of a human ischemic stroke model, conducted on a simplified brain geometry, for which a simple parallelization strategy for shared memory architectures was implemented, in order to reduce computing costs related to “detailed chemistry” features of the model.
LA - eng
KW - Reaction-diffusion; operator splitting; adaptive multiresolution; ischemic stroke; parallel computing; reaction-diffusion
UR - http://eudml.org/doc/251232
ER -