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Immersed Boundary Method for Simulating Interfacial Problems

by 1 and 2,*
1
National Institute for Mathematical Sciences, Daejeon 34047, Korea
2
Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Korea
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(11), 1982; https://doi.org/10.3390/math8111982
Received: 8 October 2020 / Revised: 2 November 2020 / Accepted: 4 November 2020 / Published: 6 November 2020
(This article belongs to the Special Issue Open Source Codes for Numerical Analysis)
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. View Full-Text
Keywords: immersed boundary; interfacial problem; fluid-structure interaction; discrete Dirac-delta function immersed boundary; interfacial problem; fluid-structure interaction; discrete Dirac-delta function
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MDPI and ACS Style

Lee, W.; Lee, S. Immersed Boundary Method for Simulating Interfacial Problems. Mathematics 2020, 8, 1982. https://doi.org/10.3390/math8111982

AMA Style

Lee W, Lee S. Immersed Boundary Method for Simulating Interfacial Problems. Mathematics. 2020; 8(11):1982. https://doi.org/10.3390/math8111982

Chicago/Turabian Style

Lee, Wanho; Lee, Seunggyu. 2020. "Immersed Boundary Method for Simulating Interfacial Problems" Mathematics 8, no. 11: 1982. https://doi.org/10.3390/math8111982

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