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Pré-Publication, Document De Travail Année : 2023

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

Résumé

Three-dimensional (3-D) hyperbolic conservation equations for fully compressible, monodisperse, fluid-particle flows with added mass and fluid-phase pseudoturbulence are proposed. A particle-phase kinetic model is developed that accounts for collisional and frictional terms, as well as added mass and internal energy. Transport equations for 3-D velocity moments up to second order (or total kinetic energy) are closed using a Maxwellian distribution. The resulting two-fluid model is well posed for any fluid-particle material density ratio. The numerical methods associated with the hyperbolic system of equations are designed to fulfill the main features of a compressible two-phase flow solver: capturing of 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. Stability is obtained by keeping the discrete consistency between spatial fluxes and buoyancy-like terms implying derivatives. Test cases involving a high-speed fluid interacting with heavy/light particles are used to demonstrate that the qualitative behavior of the flow dynamics is captured correctly by the 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 1

Citer

Victor Boniou, Rodney O. Fox, Frédérique Laurent. A Kinetic-Based Model for High-Speed, Monodisperse, Fluid-Particle Flows. 2023. ⟨hal-04037062v1⟩
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