Multiscale Lagrangian Fluid Dynamics Simulation for Polymeric Fluid

TL;DR

This paper introduces a multiscale Lagrangian simulation method combining particle-based fluid dynamics and stochastic polymer models to accurately capture the flow behavior of dilute polymeric fluids, including microscopic thermal fluctuations.

Contribution

It presents a novel multiscale simulation approach integrating Lagrangian particle methods with stochastic polymer models for polymeric fluid flow analysis.

Findings

The simulation aligns well with macroscopic constitutive equations.

Microscopic thermal fluctuations manifest as dispersion in macroscopic flow.

The method effectively captures hierarchical and historical dependencies in polymeric fluids.

Abstract

We have developed a simulation technique of multiscale Lagrangian fluid dynamics to tackle hierarchical problems relating to historical dependency of polymeric fluid. We investigate flow dynamics of dilute polymeric fluid by using the multiscale simulation approach incorporating Lagrangian particle fluid dynamics technique (the modified smoothed particle hydrodynamics) with stochastic coarse-grained polymer simulators (the dumbbell model). We have confirmed that our approach is nicely in agreement with the macroscopic results obtained by a constitutive equation corresponding to the dumbbell model, and observed microscopic thermal fluctuation appears in macroscopic fluid dynamics as dispersion phenomena.