# American Institute of Mathematical Sciences

March  2011, 15(2): 373-389. doi: 10.3934/dcdsb.2011.15.373

## On the stochastic immersed boundary method with an implicit interface formulation

 1 Department of Mathematics, Pennsylvania State University, University Park, PA 16802 2 Department of Mathematics, Pennsylvania Sate University, University Park, PA 16802, United States

Received  June 2009 Revised  October 2009 Published  December 2010

In this paper, we present a consistent and rigorous derivation of some stochastic fluid-structure interaction models based on an implicit interface formulation of the stochastic immersed boundary method. Based on the fluctuation-dissipation theorem, a proper form can be derived for the noise term to be incorporated into the deterministic hydrodynamic fluid-structure interaction models in either the phase field or level-set framework. The resulting stochastic systems not only capture the fluctuation effect near equilibrium but also provide an effective tool to model the complex interfacial morphology in a fluctuating fluid.
Citation: Qiang Du, Manlin Li. On the stochastic immersed boundary method with an implicit interface formulation. Discrete & Continuous Dynamical Systems - B, 2011, 15 (2) : 373-389. doi: 10.3934/dcdsb.2011.15.373
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