TY  - CONF
AU  - Speck, Robert
AU  - Ruprecht, Daniel
AU  - Krause, Rolf
AU  - Emmett, Matthew
AU  - Minion, Michael
AU  - Winkel, Mathias
AU  - Gibbon, Paul
TI  - Integrating an N-Body Problem with SDC and PFASST
VL  - 98
PB  - Springer International Publishing
M1  - FZJ-2014-05382
SN  - 978-3-319-05788-0 (print)
T2  - Lecture Notes in Computational Science and Engineering
SP  - 637 - 645
PY  - 2014
AB  - Vortex methods for the Navier–Stokes equations are based on a Lagrangian particle discretization, which reduces the governing equations to a first-order initial value system of ordinary differential equations for the position and vorticity of N particles. In this paper, the accuracy of solving this system by time-serial spectral deferred corrections (SDC) as well as by the time-parallel Parallel Full Approximation Scheme in Space and Time (PFASST) is investigated. PFASST is based on intertwining SDC iterations with differing resolution in a manner similar to the Parareal algorithm and uses a Full Approximation Scheme (FAS) correction to improve the accuracy of coarser SDC iterations. It is demonstrated that SDC and PFASST can generate highly accurate solutions, and the performance in terms of function evaluations required for a certain accuracy is analyzed and compared to a standard Runge–Kutta method.
T2  - Domain Decomposition Methods in Science and Engineering XXI
CY  - 25 Jun 2012 - 29 Jun 2012, Rennes (France)
Y2  - 25 Jun 2012 - 29 Jun 2012
M2  - Rennes, France
LB  - PUB:(DE-HGF)8
UR  - <Go to ISI:>//WOS:000347877900061
DO  - DOI:10.1007/978-3-319-05789-7_61
UR  - https://juser.fz-juelich.de/record/171823
ER  -