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An Adaptive Fictitious-Domain Method for Quantitative Studies of Particulate Flows

In: Modeling, Simulation and Optimization of Complex Processes

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  • Sebastian Bönisch

    (University of Heidelberg, Numerical Analysis Group, IWR)

Abstract

We present an adaptive fictitious-domain method to simulate the motion of rigid particles in viscous fluids. Our algorithm is based on the stress-DLM approach proposed by Patankar et al. ([PSJ00, Pat01, SP05]). The consequent use of adaptivity (e.g. locally adapted meshes, adaptive quadrature) makes our method very accurate and efficient, especially in the case of moderate particle volume fractions. Quantitative studies of particulate flow problems become therefore feasible. We validate our method by solving a well-known benchmark problem. The savings achieved by adaptivity are huge. A benchmark problem for multiple particles is proposed. The problem of accurate resolution of non-smooth particle geometries is addressed.

Suggested Citation

  • Sebastian Bönisch, 2008. "An Adaptive Fictitious-Domain Method for Quantitative Studies of Particulate Flows," Springer Books, in: Hans Georg Bock & Ekaterina Kostina & Hoang Xuan Phu & Rolf Rannacher (ed.), Modeling, Simulation and Optimization of Complex Processes, pages 111-120, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-79409-7_8
    DOI: 10.1007/978-3-540-79409-7_8
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