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Flow through a pipe with a sudden expansion; a comparison between MUMPS and Ilupack

Heijnen. J.G.I., (2013) Flow through a pipe with a sudden expansion; a comparison between MUMPS and Ilupack. Master's Thesis / Essay, Mathematics.

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Abstract

In this research the flow of an incompressible fluid through a 1:2 sudden expansion of a pipe was modelled. The first model consisted of a symmetry-based reduction to a 2D calculation, and the second model used a Fourier spectral method in the azimuthal direction. MUMPS, a direct solver, was compared to Ilupack, a Krylov subspace based iterative solver. Both solvers were implemented in the AptoFEM package. The MUMPS solver was faster in all calculations. For the 2D calculations, MUMPS was significantly faster, as was expected since the number of degrees of freedom in these calculations were reasonably low. For the 3D calculations, MUMPS solving itself is still faster than Ilupack, but since the linear FE solver time for MUMPS is much higher than for Ilupack, the calculation times for MUMPS and Ilupack 3D calculations were similar, and in some cases the total Ilupack calculation time was actually lower than that of MUMPS.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:55
Last Modified: 15 Feb 2018 07:55
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/11334

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