Article Contents
Article Contents

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

• 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.
Mathematics Subject Classification: 35R60, 60H15, 76D03, 76Z99.

 Citation:

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