Euler-Euler anisotropic Gaussian mesoscale direct numerical simulation of homogeneous and wall-bounded cluster-induce gas-particle turbulence

In our previous works,the exact Reynolds-averaged equations for the particle phase were derived to develop a new mutilphase turbulence model with a rigorous conceptual foundation, and detailed Euler-Lagrange(EL) particle simulations of cluster-induced turbulence (CIT) were performed to aid its development. However, sophisticated filtering techniques have to be used to extract Eulerian particle-phase statistics from the EL simulations, which can be directly provided by Euler-Euler approaches. In this work, a novel Euler-Euler anisotropic Gaussian (AG) approach was used to perform mesoscale DNS of the CIT cases. A three-dimension Hermite Quadrature formulation is used to calculate finite-volume kinetic flux for ten velocity moments. Bhatnagar-Gross-Krook model is applied to account for the inelastic particle collisions. Detailed comparisons with EL simulations demonstrate that the AG particle velocity assumption is valid and this novel method can be used to perform mesoscale DNS for gas-particle flows with high fidelity.