Rodríguez, Kerlyns Martínez; Bossy, Mireille; Maftei, Radu; Shekarforush, Seyedafshin; Henry, Christophe New spatial decomposition method for accurate, mesh-independent agglomeration predictions in particle-laden flows. (English) Zbl 1481.76254 Appl. Math. Modelling 90, 582-614 (2021). Summary: This article presents a new data-driven spatial decomposition algorithm that allows the splitting of a domain containing point particles into elementary cells, each cell containing a spatially-uniform distribution of particles. For that purpose, the algorithm relies on the use of statistical information for the spatial distribution of particles and then extracts an optimal spatial decomposition. After evaluating the convergence and accuracy of the algorithm on homogeneous and inhomogeneous cases, this optimal spatial decomposition is applied to study the case of particle agglomeration. Indeed, in CFD context, recent developments on numerical simulations of particle agglomeration in complex and turbulent flows increasingly resort to Euler-Lagrange approaches. These methods are coupled with population balance equation (PBE)-like algorithms to compute agglomeration inside each cell of the Eulerian mesh. One of the key issues with such approaches is related to the spatially-uniform condition, i.e. agglomeration should be computed on a set of particles that are uniformly distributed locally in each cell. Yet, CFD simulations in realistic industrial/environmental cases often involve non-homogeneous concentrations of particles (due to local injection or accumulation in specific regions). We show that more accurate and mesh-independent predictions of particle agglomeration are made possible by the application of this new data-driven spatial decomposition algorithm. MSC: 76T20 Suspensions Keywords:uniformity criteria; agglomeration; multiphase flow; population balance equation; turbulence; clustering PDFBibTeX XMLCite \textit{K. M. Rodríguez} et al., Appl. Math. Modelling 90, 582--614 (2021; Zbl 1481.76254) Full Text: DOI References: [1] Meade, R. H., Transport and deposition of sediments in estuaries, Geolog. Soc. Am., 133, 1, 91-120 (1972) [2] Gotoh, K.; Fujii, Y., A fractal dimensional analysis on the cloud shape parameters of cumulus over land, J. Appl. Meteorol., 37, 10, 1283-1292 (1998) [3] Falkovich, G.; Fouxon, A.; Stepanov, M., Acceleration of rain initiation by cloud turbulence, Nature, 419, 6903, 151 (2002) [4] Shaw, R. A., Particle-turbulence interactions in atmospheric clouds, Annu. Rev. Fluid Mech., 35, 1, 183-227 (2003) · Zbl 1125.76401 [5] Blum, J.; Wurm, G., The growth mechanisms of macroscopic bodies in protoplanetary disks, Annu. Rev. Astron. 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