Modelling and simulation of porous immersed boundaries

Authors:
John M. Stockie
Affiliations:
Department of Mathematics, Simon Fraser University, 8888 University Drive, Burnaby, BC, Canada V5A 1S6
Venue:
Computers and Structures
Year:
2009

Citing 15
Cited 2

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Modeling Water Transport across Elastic Boundaries Using an Explicit Jump Method

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2-D Parachute Simulation by the Immersed Boundary Method

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Simulation of Swimming Organisms: Coupling Internal Mechanics with External Fluid Dynamics

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Short Note: An immersed boundary method for restricted diffusion with permeable interfaces

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Numerical simulations of two-dimensional wet foam by the immersed boundary method

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Abstract

The immersed boundary method has been used to simulate a wide range of fluid-structure interaction problems from biology and engineering, wherein flexible solid structures deform in response to a surrounding incompressible fluid flow. We generalize the IB method to handle porous membranes by incorporating an additional transmembrane flux that obeys Darcy's law. An approximate analytical solution is derived that clearly illustrates the effect of porosity on the immersed boundary motion. Numerical simulations in two dimensions are used to validate the analytical results and to illustrate the motion of more general porous membrane dynamics.