Size-velocity correlations in hybrid high order moment/multi-fluid methods for polydisperse evaporating sprays: Modeling and numerical issues

摘要: Kah et al. (2010) [30,33] recently developed the Eulerian multi-size moment model (EMSM) which tackles modeling and numerical simulation of polydisperse multiphase flows. Using a high order method in compact interval, they suggested to reconstruct number density function (NDF) by entropy maximization, leads unique realizable NDF, potentially several size intervals, thus leading an hybrid between Multifluid order. This reconstruction is used simulate evaporation process, evaluation flux droplet disappearance at zero size, fluxes droplets accurate description shift induced Massot [15]. Although this demonstrated its potential for evaporating flows, two issues remain be addressed. First, EMSM only considers one velocity all droplets, decoupling from velocity, too restrictive distributions with large spectrum. In most applications size-conditioned dynamics have accounted for. Second, possibility separated each can lead quasi-monodisperse distributions, corresponds hard limiting case EM algorithm. So behavior algorithm needs investigated, reproduce entire space reasonable accuracy. The aim paper twofold. related are enhanced using more integration handle NDF close frontier associated adaptive parameters accurately efficiently, as well tabulated initial guess optimize computational time. Then, new called CSVM (coupled size-velocity moments model) introduced. Size-velocity correlations addressed either drag processes, or convective transport. To reach goal, suggested, additional per dimension, directly applied intervals. Thus, direct generalization EMSM. transport, splitting scheme proposed, based on underlying kinetic disperse phase. Comparing existing approaches, main novelty that our approach ensures built-in realizability conditions, no corrections being needed time step. full strategy first evaluated 0D 1D cases, demonstrates ability both evaporation, force convection correlations, possible extension Finally, 2D cases section, showing algorithms capture physics sprays minimal moments.