Title
Newton-Krylov solvers for the equation-free computation of coarse traveling wavesNewton-Krylov solvers for the equation-free computation of coarse traveling waves
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Research group
Applied mathematics
Publication type
article
Publication
Amsterdam,
Subject
Computer. Automation
Source (journal)
Computer methods in applied mechanics and engineering. - Amsterdam
Volume/pages
197(2008):43/44, p. 3480-3491
ISSN
0045-7825
ISI
000259132700007
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
For many complex dynamical systems, a separation of scales prevails between the (fine-scale) level of description of the available model, and the (coarse) level at which one would like to observe and analyze the system. For this type of problems, an equation-free framework has recently been proposed. Using appropriately initialized fine-scale simulations, one can build a coarse time-stepper to approximate a time-stepper for the unavailable coarse model. Here, we use this coarse time-stepper to estimate matrixvector products in a Jacobian-free NewtonGMRES method. The GMRES convergence is accelerated with a preconditioner that is derived from an approximate coarse equation. We examine the numerical properties of the approach with the computation of coarse traveling wave solutions of two lattice Boltzmann models for planar streamer fronts.
E-info
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