Computational fluid dynamics; Discrete element method; Immersed boundary method; Lubrication force; CFD-DEM; Closest distance; DEM Simulation; Discrete elements method; High-accuracy; Hydrodynamic interaction; Immersed boundary methods; Lubrication effect; Lubrication forces; Mesh resolution; Chemical Engineering (all); General Chemical Engineering
Abstract :
[en] Although the CFD-DEM simulations could predict the long-range hydrodynamic interaction with high accuracy, they face difficulty in the close distance between particles because mesh resolution is not fine enough to capture the lubrication effects. As a remedy, we used a variant of Immersed Boundary method in our CFD solver to model a problem as a fully resolved simulation. Then, we developed a second-order boundary layer reconstruction approach to increase the accuracy of the immersed boundary method. Furthermore, for the first time and in the present work, we considered how shared cells between the particles need to be treated in the simulation of two approaching particles. Moreover, we investigated the relationship between mesh resolution and time step size on the accuracy of the calculated force. We found a specific range for this ratio to capture the correct short-range hydrodynamic interactions.
Disciplines :
Mechanical engineering
Author, co-author :
HASSANZADEH SARAEI, Sina ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
PETERS, Bernhard ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
External co-authors :
no
Language :
English
Title :
Immersed boundary method for considering lubrication effects in the CFD-DEM simulations
This research was funded by the Luxembourg National Research Fund (FNR) , grant reference ( INTER/DFG/20/14843353 - ConMicMac). For the purpose of open access, and in fulfilment of the obligations arising from the grant agreement, the author has applied a Creative Commons Attribution 4.0 International (CC BY 4.0) license to any Author Accepted Manuscript version arising from this submission. As a member of the XDEM group, we used the XDEM code as a DEM solver under the supervision of Professor Peters. We would like to acknowledge all previous colleagues who contributed to the XDEM code, its coupling interface, and immersed boundary method.
Commentary :
Since it is not an open-access article, we could not share it internally inside the university. I put the link to the article, which could be downloaded. https://www.sciencedirect.com/science/article/pii/S003259102300387X
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Bibliography
Finke, Benedikt, Kwade, Arno, Schilde, Carsten, Numerical simulation of the rheological behavior of nanoparticulate suspensions. Materials, 13(19), 2020, 4288.
Quemada, D., Rheological modelling of complex fluids. I. The concept of effective volume fraction revisited. Eur. Phys. J. Appl. Phys. 1:1 (1998), 119–127.
Ovarlez, Guillaume, Rheology of visco-plastic suspensions. Lectures on Visco-Plastic Fluid Mechanics, 2019, Springer, 165–194.
Fataei, Shirin, Secrieru, Egor, Mechtcherine, Viktor, Experimental insights into concrete flow-regimes subject to shear-induced particle migration (SIPM) during pumping. Materials, 13(5), 2020, 1233.
Ovarlez, Guillaume, Bertrand, François, Rodts, Stéphane, Local determination of the constitutive law of a dense suspension of noncolloidal particles through magnetic resonance imaging. J. Rheol. 50:3 (2006), 259–292.
Karunarathne, Sumudu S., Tokheim, Lars-André, Comparison of the influence of drag models in CFD simulation of particle mixing and segregation in a rotating cylinder. 2017.
Yuan, Zihan, Wang, Shuyan, Shao, Baoli, Xie, Lei, Chen, Yujia, Ma, Yimei, Investigation on effect of drag models on flow behavior of power-law fluid–solid two-phase flow in fluidized bed. Particuology, 2022.
Krishnan, Sreenath, Shaqfeh, Eric S.G., Iaccarino, Gianluca, Fully resolved viscoelastic particulate simulations using unstructured grids. J. Comput. Phys. 338 (2017), 313–338.
Kim, Woojin, Choi, Haecheon, Immersed boundary methods for fluid-structure interaction: A review. Int. J. Heat Fluid Flow 75 (2019), 301–309.
Kroupa, Martin, Vonka, Michal, Soos, Miroslav, Kosek, Juraj, Utilizing the discrete element method for the modeling of viscosity in concentrated suspensions. Langmuir 32:33 (2016), 8451–8460.
Clarke, Daniel A, Sederman, Andrew J, Gladden, Lynn F, Holland, Daniel J, Investigation of void fraction schemes for use with CFD-DEM simulations of fluidized beds. Ind. Eng. Chem. Res. 57:8 (2018), 3002–3013.
Izard, Edouard, Bonometti, Thomas, Lacaze, Laurent, Modelling the dynamics of a sphere approaching and bouncing on a wall in a viscous fluid. J. Fluid Mech. 747 (2014), 422–446.
Mao, Jia, Zhao, Lanhao, Liu, Xunnan, Di, Yingtang, A resolved CFDEM algorithm based on the immersed boundary for the simulation of fluid-solid interaction. Powder Technol. 374 (2020), 290–303.
Nijssen, Tim M.J., Ottens, Marcel, Padding, Johan T., A note on the modelling of lubrication forces in unresolved simulations. Powder Technol., 413, 2023, 118017.
Dance, S.L., Maxey, M.R., Incorporation of lubrication effects into the force-coupling method for particulate two-phase flow. J. Comput. Phys. 189:1 (2003), 212–238.
Costa, Pedro, Boersma, Bendiks Jan, Westerweel, Jerry, Breugem, Wim-Paul, Collision model for fully resolved simulations of flows laden with finite-size particles. Phys. Rev. E, 92(5), 2015, 053012.
Wim-Paul Breugem, A combined soft-sphere collision/immersed boundary method for resolved simulations of particulate flows, in: Fluids Engineering Division Summer Meeting, Vol. 49484, 2010, pp. 2381–2392.
Fai, Thomas G., Rycroft, Chris H., Lubricated immersed boundary method in two dimensions. J. Comput. Phys. 356 (2018), 319–339.
Hori, Naoki, Rosti, Marco E., Takagi, Shu, An Eulerian-based immersed boundary method for particle suspensions with implicit lubrication model. Comput. & Fluids, 2022, 105278.
Apte, Sourabh V., Martin, Mathieu, Patankar, Neelesh A., A numerical method for fully resolved simulation (FRS) of rigid particle–flow interactions in complex flows. J. Comput. Phys. 228:8 (2009), 2712–2738.
Roma, Alexandre M., Peskin, Charles S., Berger, Marsha J., An adaptive version of the immersed boundary method. J. Comput. Phys. 153:2 (1999), 509–534.
Peskin, Charles S., The immersed boundary method. Acta Numer. 11 (2002), 479–517.
Blais, Bruno, Lassaigne, Manon, Goniva, Christoph, Fradette, Louis, Bertrand, François, A semi-implicit immersed boundary method and its application to viscous mixing. Comput. Chem. Eng. 85 (2016), 136–146.
Tsuji, T., Narutomi, R., Yokomine, T., Ebara, S., Shimizu, A., Unsteady three-dimensional simulation of interactions between flow and two particles. Int. J. Multiph. Flow. 29:9 (2003), 1431–1450.
Bigot, Barbara, Bonometti, Thomas, Lacaze, Laurent, Thual, Olivier, A simple immersed-boundary method for solid–fluid interaction in constant-and stratified-density flows. Comput. & Fluids 97 (2014), 126–142.
Municchi, Federico, Radl, Stefan, Consistent closures for Euler-Lagrange models of bi-disperse gas-particle suspensions derived from particle-resolved direct numerical simulations. Int. J. Heat Mass Transfer 111 (2017), 171–190.
Tschisgale, Silvio, Kempe, Tobias, Fröhlich, Jochen, A general implicit direct forcing immersed boundary method for rigid particles. Comput. & Fluids 170 (2018), 285–298.
Wu, Mingqiu, Peters, Bernhard, Rosemann, Tony, Kruggel-Emden, Harald, A forcing fictitious domain method to simulate fluid-particle interaction of particles with super-quadric shape. Powder Technol. 360 (2020), 264–277.
Mordant, Nicolas, Pinton, J.-F., Velocity measurement of a settling sphere. Eur. Phys. J. B 18 (2000), 343–352.
Glowinski, Roland, Pan, Tsorng-Whay, Hesla, Todd I, Joseph, Daniel D, Periaux, Jácques, A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. J. Comput. Phys. 169:2 (2001), 363–426.
Kempe, Tobias, Fröhlich, Jochen, An improved immersed boundary method with direct forcing for the simulation of particle laden flows. J. Comput. Phys. 231:9 (2012), 3663–3684.
Tschisgale, Silvio, Kempe, Tobias, Fröhlich, Jochen, A non-iterative immersed boundary method for spherical particles of arbitrary density ratio. J. Comput. Phys. 339 (2017), 432–452.
Schwarz, Stephan, Kempe, Tobias, Fröhlich, Jochen, A temporal discretization scheme to compute the motion of light particles in viscous flows by an immersed boundary method. J. Comput. Phys. 281 (2015), 591–613.
Breugem, Wim-Paul, A second-order accurate immersed boundary method for fully resolved simulations of particle-laden flows. J. Comput. Phys. 231:13 (2012), 4469–4498.
Yang, Fu-Ling, Hunt, Melany L., A mixed contact model for an immersed collision between two solid surfaces. Phil. Trans. R. Soc. A 366:1873 (2008), 2205–2218.
Davis, Robert H., Serayssol, Jean-Marc, Hinch, E.J., The elastohydrodynamic collision of two spheres. J. Fluid Mech. 163 (1986), 479–497.
Brenner, Howard, The slow motion of a sphere through a viscous fluid towards a plane surface. Chem. Eng. Sci. 16:3–4 (1961), 242–251.
Gilmanov, Anvar, Sotiropoulos, Fotis, A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies. J. Comput. Phys. 207:2 (2005), 457–492.
Mark, Andreas, van Wachem, Berend G.M., Derivation and validation of a novel implicit second-order accurate immersed boundary method. J. Comput. Phys. 227:13 (2008), 6660–6680.
