Numerical scheme to resolve the interaction between solid particles and fluid turbulence

Abstract

We developed an efficient numerical scheme to resolve the flow around a solid particle that is several times larger than the spacing of computational grid. The method was examined by applying it to the three-dimensional flow past a sphere in a uniform stream. For the case that the grid resolution is finer than 1/8 of particle diameter, our results agreed well with experiment up to Reynolds number 600. It evaluated exactly the momentum transfer due to pressure at the particle surface. The numerical error in the energy budget was less than 6% of the dissipation rate. Our method therefore has enough accuracy and efficiency to investigate the interaction between particle-induced eddies and fluid turbulence in particle-laden turbulent flows.