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An adaptive version of ghost-cell immersed boundary method for incompressible flows with complex stationary and moving boundaries

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Abstract

An adaptive version of immersed boundary method for simulating flows with complex stationary and moving boundaries is presented. The method employs a ghost-cell methodology which allows for a sharp representation of the immersed boundary. To simplify the implementation of the methodology, a volume-of-fluid method is introduced to identify the immersed boundary. In addition, the domain is spatially discretized using a tree-based discretization which is relatively simple to implement a fully flexible adaptive refinement strategy. Finally, the methodology is validated by comparing it with numerical and experimental results on three cases: (1) the flow passing a circular cylinder at Re=40 and Re=100, (2) a periodic oscillation of a circular cylinder in fluid at rest and (3) the self-propelled fish-like swimming at Re=6400.

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Correspondence to Liang Wang.

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Wang, L., Wu, C. An adaptive version of ghost-cell immersed boundary method for incompressible flows with complex stationary and moving boundaries. Sci. China Phys. Mech. Astron. 53, 923–932 (2010). https://doi.org/10.1007/s11433-010-0185-z

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  • DOI: https://doi.org/10.1007/s11433-010-0185-z

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