A new paradigm for computing hydrodynamic forces on particles in Euler-Lagrange point-particle simulations

Abstract

Accurate prediction of the hydrodynamic forces on particles is central to the fidelity of Euler-Lagrange (EL) simulations of particle-laden flows. Traditional EL methods typically rely on determining the hydrodynamic forces at the positions of the individual particles from the interpolated fluid velocity field, and feed these hydrodynamic forces back to the location of the particles. This approach can introduce significant errors in two-way coupled simulations, especially when the particle diameter is not much smaller than the computational grid spacing. In this study, we propose a novel force correlation framework that circumvents the need for undisturbed velocity estimation by leveraging volume-filtered quantities available directly from EL simulations. Through a rigorous analytical derivation in the Stokes regime and extensive particle-resolved direct numerical simulations (PR-DNS) at finite Reynolds numbers, we formulate force correlations that depend solely on the volume-filtered fluid velocity and local volume fraction, parametrized by the filter width. These correlations are shown to recover known drag laws in the appropriate asymptotic limits and exhibit a good agreement with analytical and high-fidelity numerical benchmarks for single particle cases, and, compared to existing correlations, an improved agreement for the drag force on particles in particle assemblies. The proposed framework significantly enhances the accuracy of hydrodynamic force predictions for both isolated particles and dense suspensions, without incurring the prohibitive computational costs associated with reconstructing undisturbed flow fields. This advancement lays the foundation for robust, scalable, and high-fidelity EL simulations of complex particulate flows across a wide range of industrial and environmental applications.

References in corpus (10)

• Sedimentation of a dilute suspension of rigid spheres at intermediate Galileo numbers: the effect of clustering upon the particle motion
• Exact regularized point particle method for multi-phase flows in the two-way coupling regime
• Quantifying the errors of the particle-source-in-cell Euler-Lagrange method
• A hybrid immersed boundary method for dense particle-laden flows
• A disturbance corrected point-particle approach for two-way coupled particle-laden flows on arbitrary shaped grids
• Microstructure-based prediction of hydrodynamic forces in stationary particle assemblies
• Study and derivation of closures in the volume-filtered framework for particle-laden flows
• Physically consistent immersed boundary method: a framework for predicting hydrodynamic forces on particles with coarse meshes
• A semi-analytical transient undisturbed velocity correction scheme for wall-bounded two-way coupled Euler-Lagrange simulations
• Undisturbed velocity recovery with transient and weak inertia effects in volume-filtered simulations of particle-laden flows