A direct numerical simulation methodology for the solution of complex cross-flow over a rigid spherical particle has been been developed. Both fixed and freely translating/rotating particle motion under hydrodynamic force/torque can be considered. The highly accurate fully spectral methodology employed allows for precise quantification of various contribution to force and heat transfer. The code is being used to address several interesting problems. The talk will, however, focus on the investigation of a spherical particle subjected to isotropic turbulence. The effect of turbulence on particle drag and the back effect of particle on wake turbulence will be discussed. Conclusion of practical relevance will be drawn.