A Joint Euler-Lagrange Method for the Solution of Multi-Scale Flow Problems

A novel approach for the simulation of scalar transport within a multi-scale flow field is presented. We wish to develop a technique which sufficiently resolves a range of length scales at moderate computational cost, while retaining an acceptable degree of accuracy. We describe a scalar field as the sum of a smooth, low frequency field and a high frequency field: the smooth field is globally described and transported as an Eulerian field, whereas the high frequency field is described using Lagrangian particles. Such a technique has been formulated and tested on a variety of one- and two-dimensional cases