About: Stochastic Eulerian Lagrangian method is a research topic. Over the lifetime, 6 publications have been published within this topic receiving 166 citations.
TL;DR: In this article, a mixed mechanical description is utilized combining Eulerian and Lagrangian reference frames for the study of fluid-structure interactions subject to thermal fluctuations, and stochastic driving fields for the formalism are derived using principles from statistical mechanics.
TL;DR: The stochastic methods provide an alternative to uniform discretizations on periodic domains that rely on Fast Fourier Transforms and extend the applicability of fluctuating hydrodynamic approaches by allowing for spatially adaptive resolution of the mechanics and for domains that have complex geometries relevant in many applications.
TL;DR: A software package integrated with the molecular dynamics software LAMMPS for fluctuating hydrodynamics simulations of fluid-structure interactions subject to thermal fluctuations is introduced to provide dynamic thermostats to extend implicit-solvent coarse-grained models by incorporating kinetic contributions from the solvent.
Abstract: We introduce a software package integrated with the molecular dynamics software LAMMPS for fluctuating hydrodynamics simulations of fluid-structure interactions subject to thermal fluctuations The package is motivated to provide dynamic thermostats to extend implicit-solvent coarse-grained (IS-CG) models by incorporating kinetic contributions from the solvent to facilitate their use in a wider range of applications To capture the thermal and hydrodynamic contributions of the solvent to dynamics, we introduce momentum conserving thermostats and computational methods based on fluctuating hydrodynamics and the stochastic Eulerian Lagrangian method (SELM) SELM couples the coarse-grained microstructure degrees of freedom to continuum stochastic fields to capture both the relaxation of hydrodynamic modes and thermal fluctuations Features of the SELM software include (i) numerical time-step integrators for SELM fluctuating hydrodynamics in inertial and quasi-steady regimes, (ii) Lees--Edwards-style methods f
TL;DR: In this article, the dynamics of elastic microstructures within a fluid that are subjected to thermal fluctuations are investigated, and the authors derive effective equations using a singular perturbation analysis of the backward Kolmogorov equations of stochastic process.
Abstract: We investigate the dynamics of elastic microstructures within a fluid that are subjected to thermal fluctuations. We perform analysis to obtain systematically simplified descriptions of the mechanics in the limiting regimes when (i) the coupling forces that transfer momentum between the fluid and microstructures are strong, (ii) the mass of the microstructures is small relative to the displaced mass of the fluid, and (iii) the response to stresses results in hydrodynamics that relax rapidly to a quasi-steady-state relative to the motions of the microstructure. We derive effective equations using a singular perturbation analysis of the backward Kolmogorov equations of the stochastic process. Our continuum mechanics description is based on the stochastic Eulerian--Lagrangian method which provides a framework for approximation of the fluid-structure interactions when subject to thermal fluctuations.
TL;DR: In this paper, the unsteady effect of the quasisteady drag coefficient in the stochastic Eulerian-Lagrangian computation of a two-phase, turbulent, planar mixing layer flow of droplets-in-gas type is examined.
Abstract: The unsteady effect of drag coefficient in the stochastic Eulerian-Lagrangian computation of a two-phase, turbulent, planar mixing layer flow of droplets-in-gas type is examined. The use of an unsteady drag coefficient in modeling two-phase turbulent flows with the stochastic Eulerian-Lagrangian formulation is necessary to obtain complete information of the dispersed-phase turbulence characteristics. The use of the quasisteady drag coefficient, which is mostly adopted in two-phase turbulent flow computations, does not cause too much deviation in the determination of mean quantities of the droplet velocity through use of the ensemble-averaging method weighting with the probability density function of the carrier phase