%0 Journal Article %T A stochastic formulation for the drag force based on multiscale numerical simulation of fluidized beds %+ Department of Mathematics [Vancouver] (UBC Mathematics) %+ University of British Columbia (UBC) %+ IFP Energies nouvelles (IFPEN) %+ École Centrale de Lyon (ECL) %+ Laboratoire de Mecanique des Fluides et d'Acoustique (LMFA) %A Esteghamatian, Amir %A Euzenat, Florian %A Hammouti, Abdelkader %A Lance, Michel %A Wachs, Anthony %< avec comité de lecture %@ 0301-9322 %J International Journal of Multiphase Flow %I Elsevier %V 99 %P 363 - 382 %8 2018-02-01 %D 2018 %R 10.1016/j.ijmultiphaseflow.2017.11.003 %K Fictitious Domain method %K Euler/Lagrange method %K Multi-scale simulation %K Fluidized Bed %K Stochastic drag law %K Discrete Element method %Z Engineering Sciences [physics]/Chemical and Process EngineeringJournal articles %X In Esteghamatian, A., Bernard, M., Lance, M., Hammouti, A. and Wachs, A., 2017, Micro/meso simulation of a fluidized bed in a homogeneous bubbling regime, International Journal of Multiphase Flow, 92, 93-111, we performed a one-to-one comparison of micro-scale Particle-Resolved Simulation (PRS) results and meso-scale two-way coupled Euler-Lagrange (a. k. a. DEM-CFD for Discrete Element Method-Computational Fluid Dynamics) simulation results in a homogeneous bi-periodic liquid/solid fluidized bed. These data showed an acceptable agreement between micro-and meso-scale predictions for integral measures as, e.g., pressure drop and bed height. However, particles fluctuations are markedly underpredicted in DEM-CFD simulations, especially in the direction transverse to the main flow. The filtered DEM-CFD porosity appears to be a coarse descriptor of the local microstructure and hence is the primary reason for the inability of the meso-scale DEM-CFD model to fully recover the actual features of the flow. In this paper, we explore two different directions in improving the meso-scale model: (a) we adopt an improved inter-phase coupling scheme and (b) we introduce a stochastic formulation for the drag law derived from our PRS results. The new stochastic drag law, which incorporates information on the first and second-order moments of PRS results, shows promises to recover the appropriate level of particles fluctuations. %G English %2 https://ifp.hal.science/hal-01905239/document %2 https://ifp.hal.science/hal-01905239/file/A%20Stochastic%20formulation.pdf %L hal-01905239 %U https://ifp.hal.science/hal-01905239 %~ IFP %~ CNRS %~ UNIV-LYON1 %~ INSA-LYON %~ EC-LYON %~ LMFA %~ INSA-GROUPE %~ UDL %~ UNIV-LYON