An unstructured solver for simulations of deformable particles in flows at arbitrary Reynolds numbers

Abstract : As a step in the development of a numerical procedure able to perform parallel computations of the dynamics of capsules/cells in non-physiological configurations, a numerical method is developed and its validation is described. The fluid-structure interaction problem is solved using an immersed boundary method, adapted to an unstructured finite-volume flow solver thanks to the reproducing kernel particle method. A specific treatment to ensure volume conservation of the fluid enclosed in the immersed structure is also detailed. The present paper focuses on quantitative validation of the method in 2-D, against existing reference 2-D results. Excellent agreement is obtained for configurations of capsules and vesicles evolving with or without mean flow. Applications of the method to non-zero Reynolds number cases, including non-trivial geometry, is shown. This unstructured immersed boundary method proves robust to tackle the dynamics of deformable particles in complex flows.
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Simon Mendez, Etienne Gibaud, Franck Nicoud. An unstructured solver for simulations of deformable particles in flows at arbitrary Reynolds numbers. Journal of Computational Physics, Elsevier, 2014, 256 (1), pp.465-483. ⟨10.1016/j.jcp.2013.08.061⟩. ⟨hal-00871557⟩

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