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Sharp interface direct forcing immersed boundary methods: A summary of some algorithms and applications

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Abstract

Body-fitted mesh generation has long been the bottleneck of simulating fluid flows involving complex geometries. Immersed boundary methods are non-boundary-conforming methods that have gained great popularity in the last two decades for their simplicity and flexibility, as well as their non-compromised accuracy. This paper presents a summary of some numerical algori- thms along the line of sharp interface direct forcing approaches and their applications in some practical problems. The algorithms include basic Navier-Stokes solvers, immersed boundary setup procedures, treatments of stationary and moving immersed bounda- ries, and fluid-structure coupling schemes. Applications of these algorithms in particulate flows, flow-induced vibrations, biofluid dynamics, and free-surface hydrodynamics are demonstrated. Some concluding remarks are made, including several future research directions that can further expand the application regime of immersed boundary methods.

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  1. Fidesi Solutions LLC, PO Box 734, Iowa City, IA, 52244, USA

    Yang Jianming

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Correspondence to Yang Jianming.

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Biography: Jianming YANG, Male, Ph. D.

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Jianming, Y. Sharp interface direct forcing immersed boundary methods: A summary of some algorithms and applications. J Hydrodyn 28, 713–730 (2016). https://doi.org/10.1016/S1001-6058(16)60675-3

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  • DOI: https://doi.org/10.1016/S1001-6058(16)60675-3

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