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Pré-Publication, Document De Travail Année : 2023

A Kinetic-Based Model for High-Speed, Monodisperse, Fluid-Particle Flows

Résumé

First, a novel mesoscale kinetic model is developed for monodisperse particles that accounts for collisional and frictional pressures in the dense regime, as well as added mass and internal energy. Then, macroscale particle-phase transport equations for the velocity moments up to second order (i.e., total kinetic energy) are derived from the mesoscale model and closed using a Maxwellian distribution for the particle velocity. When combined with the fluid-phase equations, the system of hyperbolic conservation equations accounts for fully compressible, monodisperse, fluid--particle flows with added mass and fluid-phase pseudoturbulence. The resulting macroscale model is well-posed for any fluid--particle material density ratio. The numerical methods associated with the hyperbolic system are designed to fulfill the main features of a compressible two-phase flow solver: capturing sharp particle fronts, preserving contact discontinuities, and ensuring stability in all flow regimes. This is done by employing a combination of an AUSM+up scheme for the particle phase, and a HLLC scheme for the fluid phase with limited WENO5 reconstructions. Stability is obtained by keeping the discrete consistency between spatial fluxes and non-conservative terms. Test cases combining a high-speed fluid interacting with heavy/light particles are used to demonstrate that the qualitative behavior of the flow dynamics over a wide range of density ratios is captured correctly by the macroscale model.
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Dates et versions

hal-04037062 , version 1 (20-03-2023)
hal-04037062 , version 2 (17-12-2023)

Identifiants

  • HAL Id : hal-04037062 , version 2

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Victor Boniou, Rodney O. Fox, Frédérique Laurent. A Kinetic-Based Model for High-Speed, Monodisperse, Fluid-Particle Flows. 2023. ⟨hal-04037062v2⟩
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