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.
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Bönisch, S. (2008). An Adaptive Fictitious-Domain Method for Quantitative Studies of Particulate Flows. In: Bock, H.G., Kostina, E., Phu, H.X., Rannacher, R. (eds) Modeling, Simulation and Optimization of Complex Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79409-7_8
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DOI: https://doi.org/10.1007/978-3-540-79409-7_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-79408-0
Online ISBN: 978-3-540-79409-7
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