×

zbMATH — the first resource for mathematics

A smoothed particle hydrodynamics framework for modelling multiphase interactions at meso-scale. (English) Zbl 06981050
Summary: A smoothed particle hydrodynamics (SPH) framework is developed for modelling multiphase interactions at meso-scale, including the liquid-solid interaction induced deformation of the solid phase. With an inter-particle force formulation that mimics the inter-atomic force in molecular dynamics, the proposed framework includes the long-range attractions between particles, and more importantly, the short-range repulsive forces to avoid particle clustering and instability problems. Three-dimensional numerical studies have been conducted to demonstrate the capabilities of the proposed framework to quantitatively replicate the surface tension of water, to model the interactions between immiscible liquids and solid, and more importantly, to simultaneously model the deformation of solid and liquid induced by the multiphase interaction. By varying inter-particle potential magnitude, the proposed SPH framework has successfully simulated various wetting properties ranging from hydrophobic to hydrophilic surfaces. The simulation results demonstrate the potential of the proposed framework to genuinely study complex multiphase interactions in wet granular media.

MSC:
74-XX Mechanics of deformable solids
Software:
PySPH
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Holmes, DW; Williams, JR; Tilke, P., Smooth particle hydrodynamics simulations of low Reynolds number flows through porous media, Int J Numer Anal Methods, 35, 419-437, (2011) · Zbl 1274.76281
[2] Flores-Johnson, EA; Wang, S.; Maggi, F.; Zein, A.; Gan, Y.; Nguyen, GD; Shen, LM, Discrete element simulation of dynamic behaviour of partially saturated sand, Int J Mech Mater Des, 12, 495-507, (2016)
[3] Kazmouz, SJ; Giusti, A.; Mastorakos, E., Numerical simulation of shale gas flow in three-dimensional fractured porous media, J Unconv Oil Gas Resour, 16, 90-112, (2016)
[4] Breinlinger, T.; Polfer, P.; Hashibon, A.; Kraft, T., Surface tension and wetting effects with smoothed particle hydrodynamics, J Comput Phys, 243, 14-27, (2013) · Zbl 1349.76666
[5] Maggi, F., Multiphase capillary rise of multicomponent miscible liquids, Colloid Surf A, 415, 119-124, (2012)
[6] Maggi, F.; Alonso-Marroquin, F., Multiphase capillary flows, Int J Multiph Flow, 42, 62-73, (2012)
[7] Nojabaei, B.; Siripatrachai, N.; Johns, RT; Ertekin, T., Effect of large gas-oil capillary pressure on production: a compositionally-extended black oil formulation, J Petrol Sci Eng, 147, 317-329, (2016)
[8] Peng, H.; Nguyen, AV; Birkett, GR, Determination of contact angle by molecular simulation using number and atomic density contours, Mol Simul, 38, 945-952, (2012)
[9] Ismail, AE; Grest, GS; Stevens, MJ, Capillary waves at the liquid-vapor interface and the surface tension of water, J Chem Phys, (2006)
[10] Liu, M.; Meakin, P.; Huang, H., Dissipative particle dynamics simulation of pore-scale multiphase fluid flow, Water Resour Res, (2007) · Zbl 1146.76468
[11] Kojic, M.; Filipovic, N.; Tsuda, A., A mesoscopic bridging scale method for fluids and coupling dissipative particle dynamics with continuum finite element method, Comput Method Appl Mech, 197, 821-833, (2008) · Zbl 1169.76421
[12] Duong-Hong, D.; Phan-Thien, N.; Yeo, KS; Ausias, G., Dissipative particle dynamics simulations for fibre suspensions in newtonian and viscoelastic fluids, Comput Method Appl Mech, 199, 1593-1602, (2010) · Zbl 1231.76230
[13] Liu, MB; Liu, GR, Smoothed particle hydrodynamics (SPH): an overview and recent developments, Arch Comput Method Eng, 17, 25-76, (2010) · Zbl 1348.76117
[14] Monaghan, JJ; Kajtar, JB, SPH particle boundary forces for arbitrary boundaries, Comput Phys Commun, 180, 1811-1820, (2009) · Zbl 1197.76104
[15] Srivastava, S.; Yazdchi, K.; Luding, S., Mesoscale dynamic coupling of finite- and discrete-element methods for fluid-particle interactions, Philos Trans R Soc Math Phys Eng Sci, (2014) · Zbl 1353.76051
[16] Minaki, H.; Li, SF, Multiscale modeling and simulation of dynamic wetting, Comput Method Appl Mech, 273, 273-302, (2014) · Zbl 1296.76085
[17] Li, SF; Fan, HF, On multiscale moving contact line theory, Philos Trans R Soc Math Phys Eng Sci, (2015) · Zbl 1371.76154
[18] Liu, MB; Liu, GR; Zhou, LW; Chang, JZ, Dissipative particle dynamics (DPD): an overview and recent developments, Arch Comput Method Eng, 22, 529-556, (2015) · Zbl 1348.76004
[19] Jahanshaloo, L.; Sidik, NAC; Fazeli, A.; Pesaran, HAM, An overview of boundary implementation in lattice Boltzmann method for computational heat and mass transfer, Int Commun Heat Mass, 78, 1-12, (2016)
[20] Huber, M.; Keller, F.; Sackel, W.; Hirschler, M.; Kunz, P.; Hassanizadeh, SM; Nieken, U., On the physically based modeling of surface tension and moving contact lines with dynamic contact angles on the continuum scale, J Comput Phys, 310, 459-477, (2016) · Zbl 1349.76695
[21] Chen, YQ; Kulasegaram, S., Numerical modelling of fracture of particulate composites using SPH method, Comput Mater Sci, 47, 60-70, (2009)
[22] Lenaerts, T.; Adams, B.; Dutre, P., Porous flow in particle-based fluid simulations, ACM Trans Gr, (2008)
[23] Yang, XF; Liu, MB; Peng, SL, Smoothed particle hydrodynamics modeling of viscous liquid drop without tensile instability, Comput Fluids, 92, 199-208, (2014) · Zbl 1391.76644
[24] Adami, S.; Hu, XY; Adams, NA, A transport-velocity formulation for smoothed particle hydrodynamics, J Comput Phys, 241, 292-307, (2013) · Zbl 1349.76659
[25] Bui, HH; Fukagawa, R.; Sako, K.; Ohno, S., Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model, Int J Numer Anal Method, 32, 1537-1570, (2008) · Zbl 1273.74563
[26] Zhang, A.; Ming, FR; Cao, XY, Total Lagrangian particle method for the large-deformation analyses of solids and curved shells, Acta Mech, 225, 253-275, (2014) · Zbl 1401.74292
[27] Das, R.; Cleary, PW, Evaluation of accuracy and stability of the classical SPH method under uniaxial compression, J Sci Comput, 64, 858-897, (2015) · Zbl 06499235
[28] Mabssout, M.; Herreros, MI; Idder, H., Predicting dynamic fracture in viscoplastic materials using Taylor-SPH, Int J Impact Eng, 87, 95-107, (2016)
[29] Leroch, S.; Varga, M.; Eder, SJ; Vernes, A.; Ripoll, MR; Ganzenmuller, G., Smooth particle hydrodynamics simulation of damage induced by a spherical indenter scratching a viscoplastic material, Int J Solids Struct, 81, 188-202, (2016)
[30] Zhang, C.; Hu, XY; Adams, NA, A generalized transport-velocity formulation for smoothed particle hydrodynamics, J Comput Phys, 337, 216-232, (2017)
[31] Monaghan, JJ, Smoothed particle hydrodynamics, Rep Prog Phys, 68, 1703-1759, (2005) · Zbl 1160.76399
[32] Monaghan, JJ, Simulating free-surface flows with SPH, J Comput Phys, 110, 399-406, (1994) · Zbl 0794.76073
[33] Gray, JP; Monaghan, JJ; Swift, RP, SPH elastic dynamics, Comput Method Appl Mech, 190, 6641-6662, (2001) · Zbl 1021.74050
[34] Shadloo, MS; Yildiz, M., Numerical modeling of Kelvin-Helmholtz instability using smoothed particle hydrodynamics, Int J Numer Meth Eng, 87, 988-1006, (2011) · Zbl 1242.76278
[35] Yamada, Y.; Sakai, M., Lagrangian-Lagrangian simulations of solid-liquid flows in a bead mill, Powder Technol, 239, 105-114, (2013)
[36] Zhang, MY, Simulation of surface tension in 2D and 3D with smoothed particle hydrodynamics method, J Comput Phys, 229, 7238-7259, (2010) · Zbl 1426.76623
[37] Hu, XY; Adams, NA, A multi-phase SPH method for macroscopic and mesoscopic flows, J Comput Phys, 213, 844-861, (2006) · Zbl 1136.76419
[38] Morris, JP, Simulating surface tension with smoothed particle hydrodynamics, Int J Numer Methods Fluids, 33, 333-353, (2000) · Zbl 0985.76072
[39] Caleyron, F.; Combescure, A.; Faucher, V.; Potapov, S., SPH modeling of fluid-solid interaction for dynamic failure analysis of fluid-filled thin shells, J Fluid Struct, 39, 126-153, (2013)
[40] Canelas, RB; Crespo, AJC; Dominguez, JM; Ferreira, RML; Gomez-Gesteira, M., SPH-DCDEM model for arbitrary geometries in free surface solid-fluid flows, Comput Phys Commun, 202, 131-140, (2016)
[41] Ren, B.; Fan, HF; Bergel, GL; Regueiro, RA; Lai, X.; Li, SF, A peridynamics-SPH coupling approach to simulate soil fragmentation induced by shock waves, Comput Mech, 55, 287-302, (2015) · Zbl 1398.74395
[42] Barbot, Elise; Vidic, Natasa S.; Gregory, Kelvin B.; Vidic, Radisav D., Spatial and Temporal Correlation of Water Quality Parameters of Produced Waters from Devonian-Age Shale following Hydraulic Fracturing, Environmental Science & Technology, 47, 2562-2569, (2013)
[43] Cho, CL; Kao, HL; Chang, LC; Wu, YH; Chiu, HC, Fully inkjet-printing of metal-polymer-metal multilayer on a flexible liquid crystal polymer substrate, Surf Coat Tech, 320, 568-573, (2017)
[44] Samarjy, RSM; Kaplan, AFH, Using laser cutting as a source of molten droplets for additive manufacturing: a new recycling technique, Mater Des, 125, 76-84, (2017)
[45] Wang, S.; Shen, L.; Maggi, F.; El-Zein, A.; Nguyen, GD, Uniaxial compressive behavior of partially saturated granular media under high strain rates, Int J Impact Eng, 102, 156-168, (2017)
[46] Becker M, Teschner M (2007) Weakly compressible SPH for free surface flows. In: Metaxas D, Popovic J (eds) Symposium on computer animation 2007: ACM SIGGRAPH/eurographics symposium proceedings, pp 209-217
[47] Akinci, N.; Akinci, G.; Teschner, M., Versatile surface tension and adhesion for SPH fluids, ACM Trans Gr, (2013)
[48] Adami, S.; Hu, XY; Adams, NA, A new surface-tension formulation for multi-phase SPH using a reproducing divergence approximation, J Comput Phys, 229, 5011-5021, (2010) · Zbl 1346.76161
[49] Tartakovsky, AM; Panchenko, A., Pairwise force smoothed particle hydrodynamics model for multiphase flow: surface tension and contact line dynamics, J Comput Phys, 305, 1119-1146, (2016) · Zbl 1349.76739
[50] Morris, JP; Fox, PJ; Zhu, Y., Modeling low Reynolds number incompressible flows using SPH, J Comput Phys, 136, 214-226, (1997) · Zbl 0889.76066
[51] Monaghan, JJ, Smoothed particle hydrodynamics, Annu Rev Astron Astrphys, 30, 543-574, (1992)
[52] Monaghan, JJ, On the problem of penetration in particle methods, J Comput Phys, 82, 1-15, (1989) · Zbl 0665.76124
[53] Groot, RD; Warren, PB, Dissipative particle dynamics: bridging the gap between atomistic and mesoscopic simulation, J Chem Phys, 107, 4423-4435, (1997)
[54] Wendland, H., Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree, Adv Comput Math, 4, 389-396, (1995) · Zbl 0838.41014
[55] Kinjo, T.; Hyodo, SA, Equation of motion for coarse-grained simulation based on microscopic description, Phys Rev E, (2007) · Zbl 1113.81328
[56] Ramachandran P (2016) PySPH: a reproducible and high-performance framework for smoothed particle hydrodynamics. In: Proceedings of the 15th python in science conference, pp 127-135
[57] Lautrup B (2011) Physics of continuous matter: exotic and everyday phenomena in the macroscopic world. CRC Press, Boca Raton · Zbl 1336.74001
[58] Townsend, RM; Gryko, J.; Rice, SA, Structure of the liquid vapor interface of water, J Chem Phys, 82, 4391-4392, (1985)
[59] Medina, DF; Chen, JK, Three-dimensional simulations of impact induced damage in composite structures using the parallelized SPH method, Compos Part A Appl Sci Manuf, 31, 853-860, (2000)
[60] Young, T., An Essay on the Cohesion of Fluids, Philosophical Transactions of the Royal Society of London, 95, 65-87, (1805)
[61] Ricci, E.; Sangiorgi, R.; Passerone, A., Density and surface tension of dioctylphthalate, silicone oil and their solutions, Surf Coat Technol, 28, 215-223, (1986)
[62] Than, P.; Preziosi, L.; Josephl, DD; Arney, M., Measurement of interfacial tension between immiscible liquids with the spinning rod tensiometer, J Colloid Interf Sci, 124, 552-559, (1988)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.