Immersed Boundary Method for Simulating Interfacial Problems

Wanho Lee and Seunggyu Lee
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Wanho Lee: National Institute for Mathematical Sciences, Daejeon 34047, Korea
Seunggyu Lee: Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Korea

Mathematics, 2020, vol. 8, issue 11, 1-16

Abstract: We review the immersed boundary (IB) method in order to investigate the fluid-structure interaction problems governed by the Navier–Stokes equation. The configuration is described by the Lagrangian variables, and the velocity and pressure of the fluid are defined in Cartesian coordinates. The interaction between two different coordinates is involved in a discrete Dirac-delta function. We describe the IB method and its numerical implementation. Standard numerical simulations are performed in order to show the effect of the parameters and discrete Dirac-delta functions. Simulations of flow around a cylinder and movement of Caenorhabditis elegans are introduced as rigid and flexible boundary problems, respectively. Furthermore, we provide the MATLAB codes for our simulation.

Keywords: immersed boundary; interfacial problem; fluid-structure interaction; discrete Dirac-delta function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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