In this work, a hybrid finite element volume FEV method is suitably used to simulate the aerosol dynamics and chemistry of micro/nanoscale soot particulates in a heavily sooting ethylene-air turbulent diffusion flame. In the soot simulation part, we numerically solve the two-equation soot model involving the transport equations for soot number density and soot mass fraction, based on the acetylene-route nucleation. In this regard, the nucleation process is described using a one-step reaction for the soot formation (inception) from acetylene. Considering the complex process of acetylene-route soot nucleation, we extend the classical physical upwind influence scheme to approximate a more accurate soot mass fraction and soot number density fluxes at the cell faces. To solve the transport equations for the first two moments of mixture fraction, we impose large detailed chemical kinetics and the flamelet combustion model. We also consider the turbulence-chemistry interaction via imposing suitable probability density functions PDFs in our formulations. Additionally, we consider the two-equation standard κ-ε turbulence model and suitable wall functions to impose the turbulence influences. Assuming an optically thin limit, we take into account the radiation emission of both gaseous mixture and particulate soot parts. The governing equations are solved thorough two different sequential matrices in a bi-implicit manner. Comparing with the measured data, the present solution accurately predicts the temperature and soot volume fraction, which are the key parameters in studying the flame and particulate pollutions.