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Parallel iterative solution of sparse linear systems in computational fluid dynamics

Zöllner, Melven (2011) Parallel iterative solution of sparse linear systems in computational fluid dynamics. Bachelor's, RWTH Aachen.



This thesis deals with the solution of large sparse systems of linear equations on manycore architectures with distributed memory using iterative krylov methods. It focusses on preconditioning techniques, especially those that are based on a Schur-complement- Ansatz. These preconditioners can be considered as an iterative correction of block-Jacobi preconditioning that uses an incomplete LU-decomposition to approximately invert the diagonal blocks of the matrix. Sample linear systems stem from CFD (computational fluid dynamics) simulation systems, which were developed by DLR (German Aerospace Center). The runtime and numerical characteristics of the parallel preconditioned solvers developed are discussed by means of empirical tests with these systems. The results of these tests demonstrate that Schur-complement preconditioners can considerably improve the parallel scalability of an iterative solver in comparison to block-Jacobi preconditioning.

Item URL in elib:https://elib.dlr.de/79338/
Document Type:Thesis (Bachelor's)
Title:Parallel iterative solution of sparse linear systems in computational fluid dynamics
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Zöllner, MelvenRWTH AachenUNSPECIFIED
Date:23 November 2011
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Number of Pages:75
Keywords:Parallel iterative solvers; preconditioning; distributed Schur complement methods; block methods; CFD
Institution:RWTH Aachen
Department:Institut für Geometrie und Praktische Mathematik
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W SY - Technik für Raumfahrtsysteme
DLR - Research area:Space
DLR - Program:W SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):W - Vorhaben SISTEC (old)
Location: Köln-Porz
Institutes and Institutions:Institut of Simulation and Software Technology > Distributed Systems and Component Software
Deposited By: Basermann, Dr.-Ing. Achim
Deposited On:13 Dec 2012 16:03
Last Modified:31 Jul 2019 19:38

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