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Finite-Volume Discretizations and Immersed Boundaries

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Advanced Computational Methods in Science and Engineering

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 71))

Abstract

In this chapter, an accurate method, using a novel immersed-boundary approach, is presented for numerically solving linear, scalar convection problems. As is standard in immersed-boundary methods, moving bodies are embedded in a fixed Cartesian grid. The essence of the present method is that specific fluxes in the vicinity of a moving body are computed in such a way that they accurately accommodate the boundary conditions valid on themoving body. To suppress wiggles, tailor-made limiters are introduced for these special fluxes. The first results obtained are very accurate, without requiring much computational overhead. It is anticipated that the method can readily be extended to real fluid-flow equations.

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Author information

Authors and Affiliations

  1. Centrum Wiskunde & Informatica, Kruislaan 413, 1098 SJ, Amsterdam, the Netherlands

    Yunus Hassen & Barry Koren

  2. Faculty of Aerospace Engineering, TU Delft, Kluyverweg 1, 2629 HS, Delft, the Netherlands

    Yunus Hassen & Barry Koren

  3. Mathematical Institute, Leiden University, Niels Bohrweg 1, 2333 CA, Leiden, the Netherlands

    Barry Koren

Authors
  1. Yunus Hassen
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  2. Barry Koren
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Corresponding author

Correspondence to Yunus Hassen .

Editor information

Editors and Affiliations

  1. Scientific Computing &, Centrum Wiskunde & Informatica, Science Park 123, Amsterdam, 1098 XG, Netherlands

    Barry Koren

  2. Inst. Applied Mathematics, Delft University of Technology, Mekelweg 4, Delft, 2628 CD, Netherlands

    Kees Vuik

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© 2009 Springer-Verlag Berlin Heidelberg

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Hassen, Y., Koren, B. (2009). Finite-Volume Discretizations and Immersed Boundaries. In: Koren, B., Vuik, K. (eds) Advanced Computational Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, vol 71. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03344-5_8

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