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