Direct numerical simulations of particle-laden isotropic turbulence. Pseudo-spectral solver

In this work an in-house pseudo-spectral direct numerical simulations solver for particle-laden forced isotropic turbulence is developed. The code has been validated against the results of a decaying three-dimensional Taylor-Green vortex field at moderate Reynolds number. The solver can be relatively easily adapted for large-eddy simulations using the concept of spectral eddy-viscosity. The solver is coupled with the Lagrangian particle tracking of a dispersed phase essentially approximated by point-particles whose particle-to-fluid density ratio is O(103). High order Lagrange interpolation and combined implicit-explicit time-integration scheme are used to solve the particle equation of motion.