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A Lagrange Multiplier/Fictitious Domain/Collocation Method for Solid-Liquid Flows

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Parallel Solution of Partial Differential Equations

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 120))

Abstract

In this article we discuss the application of a Lagrange multiplier based fictitious domain method to the numerical simulation of incompressible viscous flow modelled by the Navier-Stokes equations around moving rigid bodies; the rigid body motions are due to hydrodynamical forces and gravity. The solution method combines finite element approximations, time discretization by operator splitting and conjugate gradient algorithms for the solution of the linearly constrained quadratic minimization problems coming from the splitting method. The results of numerical experiments for 504 sedimenting cylinders in a two-dimensional channel and two balls sedimenting in a rectangular cylinder are presented.

This research has been supported in part by the NSF under the grant NSF/ECS 9527123.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Houston, Houston, TX, 77204-3476, USA

    Tsorng-Whay Pan

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  1. Tsorng-Whay Pan
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Editors and Affiliations

  1. Institutt for Informatikk Hoyteknologisenteret, University of Bergen, Bergen, N-5020, Norway

    Petter Bjørstad

  2. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Mitchell Luskin

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Pan, TW. (2000). A Lagrange Multiplier/Fictitious Domain/Collocation Method for Solid-Liquid Flows. In: Bjørstad, P., Luskin, M. (eds) Parallel Solution of Partial Differential Equations. The IMA Volumes in Mathematics and its Applications, vol 120. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1176-1_5

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  • DOI: https://doi.org/10.1007/978-1-4612-1176-1_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7034-8

  • Online ISBN: 978-1-4612-1176-1

  • eBook Packages: Springer Book Archive

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