On the stochastic immersed boundary method with an implicit interface formulation
Qiang Du - Department of Mathematics, Pennsylvania State University, University Park, PA 16802, United States (email)
Abstract: 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.
Keywords: Immersed Boundary Method, Stochastic dynamics, Fluctuation-Dissipation,
Fluid-Structure Interaction, Implicit Interface Representation, Phase Field
Method, Level-set Method, Diffuse Interface Method.
Received: June 2009; Revised: October 2009; Published: December 2010.
2012 Impact Factor.88