Multiscale Lagrangian fluid dynamics simulation for polymeric fluid

Abstract We have developed a simulation technique of multi- scale 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 well in agreement with the macroscopic results obtained by a constitutive equation corresponding to the dumbbell model, and observed that microscopicthermal fluctuation appears in macroscopic fluid dynamics as dispersion phenomena.