Stochastic Eulerian Lagrangian methods for fluid–structure interactions with thermal fluctuations

• Published in: Journal of computational physics Vol. 230; no. 8; pp. 2821 - 2837
• Main Author: Atzberger, Paul J.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Inc 20.04.2011; Elsevier
• Subjects: APPROXIMATIONS; CALCULATION METHODS; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; Computation; Computational techniques; DEGREES OF FREEDOM; DIFFERENTIAL EQUATIONS; Driving; EQUATIONS; EVALUATION; Exact sciences and technology; Fluctuating hydrodynamics; Fluctuation; FLUCTUATIONS; Fluid dynamics; FLUID MECHANICS; Fluid-structure interaction; FLUID-STRUCTURE INTERACTIONS; Formalism; FUNCTIONS; HYDRODYNAMICS; LAGRANGIAN FUNCTION; MATHEMATICAL METHODS AND COMPUTING; Mathematical methods in physics; MATHEMATICAL MODELS; MECHANICAL STRUCTURES; MECHANICS; Physics; PROBABILITY; SELM; STATISTICAL MECHANICS; Stochastic Eulerian Lagrangian method; STOCHASTIC PROCESSES; Stochasticity; Thermal fluctuations; VARIATIONS; Thermal fluctuations; Fluid–structure interaction; Fluid dynamics; SELM; Fluctuating hydrodynamics; Stochastic Eulerian Lagrangian method; Statistical mechanics; Operator; Fluid mechanics; Degrees of freedom; Lagrangian; Probability distribution; Numerical method; Stochastic method; Fluid-structure interaction; Calculation methods; Random field; Referential; Differential equations; Calculation; Spherical particle; Lagrangian method; Temperature fluctuation; Invariant distribution; Stochastic equation

We present approaches for the study of fluid–structure interactions subject to thermal fluctuations. A mixed mechanical description is utilized combining Eulerian and Lagrangian reference frames. We establish general conditions for operators coupling these descriptions. Stochastic driving fields for...