scholarly journals Penalty immersed boundary method for an elastic boundary with mass

2007 ◽  
Vol 19 (5) ◽  
pp. 053103 ◽  
Author(s):  
Yongsam Kim ◽  
Charles S. Peskin
Keyword(s):  
Immersed Boundary Method ◽  
Immersed Boundary ◽  
Elastic Boundary ◽  
Boundary Method

Passive concentration dynamics incorporated into the library IB2d, a two-dimensional implementation of the immersed boundary method

2022 ◽  
Author(s):  
Matea Santiago ◽  
Nicholas A Battista ◽  
Laura A. Miller ◽  
Shilpa Khatri
Keyword(s):  
Viscous Fluid ◽  
Immersed Boundary Method ◽  
Heat Dissipation ◽  
Immersed Boundary ◽  
Chemical Concentration ◽  
Software Library ◽  
Filter Feeding ◽  
Elastic Boundary ◽  
Advection Diffusion ◽  
Boundary Method

Abstract In this paper, we present an open-source software library that can be used to numerically simulate the advection and diffusion of a chemical concentration or heat density in a viscous fluid where a moving, elastic boundary drives the fluid and acts as a source or sink. The fully- coupled fluid-structure interaction problem of an elastic boundary in a viscous fluid is solved using Peskin’s immersed boundary method. The addition or removal of the concentration or heat density from the boundary is solved using an immersed boundary-like approach in which the concentration is spread from the immersed boundary to the fluid using a regularized delta function. The concentration or density over time is then described by the advection-diffusion equation and numerically solved. This functionality has been added to our software library, IB2d, which provides an easy-to-use immersed boundary method in two dimensions with full implementations in MATLAB and Python. We provide four examples that illustrate the usefulness of the method. A simple rubber band that resists stretching and absorbs and releases a chemical concentration is simulated as a first example. Complete convergence results are presented for this benchmark case. Three more biological examples are presented: (1) an oscillating row of cylinders, representative of an idealized appendage used for filter-feeding or sniffing, (2) an oscillating plate in a background flow is considered to study the case of heat dissipation in a vibrating leaf, and (3) a simplified model of a pulsing soft coral where carbon dioxide is taken up and oxygen is released as a byproduct from the moving tentacles. This method is applicable to a broad range of problems in the life sciences, including chemical sensing by antennae, heat dissipation in plants and other structures, the advection-diffusion of morphogens during development, filter-feeding by marine organisms, and the release of waste products from organisms in flows.

A three-dimensional immersed boundary method based on an algebraic forcing-point-searching scheme for water impact problems

2021 ◽  
Vol 233 ◽  
pp. 109189
Author(s):  
Bin Yan ◽  
Wei Bai ◽  
Sheng-Chao Jiang ◽  
Peiwen Cong ◽  
Dezhi Ning ◽  
...  
Keyword(s):  
Immersed Boundary Method ◽  
Three Dimensional ◽  
Immersed Boundary ◽  
Water Impact ◽  
Boundary Method ◽  
Impact Problems
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