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- Title
PARALLEL FAST ISOGEOMETRIC SOLVERS FOR EXPLICIT DYNAMICS.
- Authors
WOŹNIAK, Maciej; Łoś, Marcin; PASZYŃSKI, Maciej; DALCIN, Lisandro; CALO, Victor Manuel
- Abstract
This paper presents a parallel implementation of the fast isogeometric solvers for explicit dynamics for solving non-stationary time-dependent problems. The algorithm is described in pseudo-code. We present theoretical estimates of the computational and communication complexities for a single time step of the paral- lel algorithm. The computational complexity is O O (p6 N/c tcomp) and communication complexity is O (N/c2=3 tcomm) where p denotes the polynomial order of B-spline basis with Cp-1 global continuity, N denotes the number of elements and c is number of processors forming a cube, tcomp refers to the execution time of a single operation, and tcomm refers to the time of sending a single datum. We compare theoretical estimates with numerical experiments performed on the LONESTAR Linux cluster from Texas Advanced Computing Center, using 1 000 processors. We apply the method to solve nonlinear ows in highly heterogeneous porous media.
- Subjects
ISOGEOMETRIC analysis; ALGORITHMS; PSEUDOCODE (Computer program language); PROGRAMMING languages; COMPUTATIONAL complexity
- Publication
Computing & Informatics, 2017, Vol 36, Issue 2, p423
- ISSN
1335-9150
- Publication type
Article
- DOI
10.4149/cai_2017_2_423