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2007 Hybrid numerical treatment of two-fluid problems with passive interfaces
Nicholas Cogan
Commun. Appl. Math. Comput. Sci. 2(1): 117-133 (2007). DOI: 10.2140/camcos.2007.2.117


We consider the coupled motion of a passive interface separating two immiscible fluids of different viscosities. There are several applications where the velocity of the two fluids is needed everywhere within the domain. Examples include the transport of bacteria and diffusing substances within a biofilm matrix and the transport of cations throughout the mucociliary and periciliary layer in the lung lining. In this investigation, we use a hybrid approach which employs the boundary integral method to determine the interface velocity and the method of regularized stokeslets to determine the velocity elsewhere in the domain.

Our approach capitalizes on the strengths of the two methods, yielding an intuitive, efficient procedure for determining the velocity of a two-fluid system throughout the domain. A key feature of the method is the extension to two-fluid systems with varying viscosity. We describe the results of three numerical simulations designed to test the numerical method and motivate its use.


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Nicholas Cogan. "Hybrid numerical treatment of two-fluid problems with passive interfaces." Commun. Appl. Math. Comput. Sci. 2 (1) 117 - 133, 2007.


Received: 13 November 2006; Accepted: 26 August 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1128.76021
MathSciNet: MR2369382
Digital Object Identifier: 10.2140/camcos.2007.2.117

Primary: 76B70

Rights: Copyright © 2007 Mathematical Sciences Publishers


Vol.2 • No. 1 • 2007
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