Applied Mathematics and Mechanics >
Simulation of incompressible multiphase flows with complex geometry using etching multiblock method
Received date: 2016-01-25
Revised date: 2016-03-15
Online published: 2016-11-01
Supported by
Project supported by the National Natural Science Foundation of China (No.11425210) and the Fundamental Research Funds for the Central Universities (No.WK2090050025)
The incompressible two-phase flows are simulated using combination of an etching multiblock method and a diffuse interface (DI) model,particularly in the complex domain that can be decomposed into multiple rectangular subdomains.The etching multiblock method allows natural communications between the connected subdomains and the efficient parallel computation.The DI model can consider two-phase flows with a large density ratio,and simulate the flows with the moving contact line (MCL) when a geometric formulation of the MCL model is included.Therefore,combination of the etching method and the DI model has potential to deal with a variety of two-phase flows in industrial applications.The performance is examined through a series of numerical experiments.The convergence of the etching method is firstly tested by simulating single-phase flows past a square cylinder,and the method for the multiphase flow simulation is validated by investing drops dripping from a pore.The numerical results are compared with either those from other researchers or experimental data.Good agreement is achieved.The method is also used to investigate the impact of a droplet on a grooved substrate and droplet generation in flow focusing devices.
Haoran LIU, Kai MU, Hang DING . Simulation of incompressible multiphase flows with complex geometry using etching multiblock method[J]. Applied Mathematics and Mechanics, 2016 , 37(11) : 1405 -1418 . DOI: 10.1007/s10483-016-2101-8
[1] Hu, D. L., Chan, B., and Bush, J. W. M. The hydrodynamics of water strider locomotion. nature, 424, 663-666(2003)
[2] Vella, D. Floating versus sinking. Annu. Rev. Fluid Mech., 47, 115-135(2015)
[3] Gao, P. and Feng, J. J. A numerical investigation of the propulsion of water walkers. J. Fluid Mech., 668, 363-383(2011)
[4] Fan, E. S. C. and Bussmann, M. Piecewise linear volume tracking in spherical coordinates. Appl. Math. Model., 37, 3077-3092(2013)
[5] Uhlmann, M. An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys., 209, 448-476(2005)
[6] Mittal, R. and Iaccarino, G. Immersed boundary methods. Annu. Rev. Fluid Mech., 37, 239-261(2005)
[7] Mittal, R., Dong, H., Bozkurttas, M., Najjar, F. M., Vargas, A., and von Loebbecke, A. A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries. J. Comput. Phys., 227, 4825-4852(2008)
[8] Ren, W. W., Shu, C., Wu, J., and Yang, W. M. Boundary condition-enforced immersed boundary method for thermal flow problems with Dirichlet temperature condition and its applications. Comput. Fluids, 57, 40-51(2012)
[9] Ding, H., Spelt, P. D. M., and Shu, C. Diffuse interface model for incompressible two-phase flows with large density ratios. J. Comput. Phys., 226, 2078-2095(2007)
[10] Liu, H. R. and Ding, H. A diffuse-interface immersed-boundary method for two-dimensional simulation of flows with moving contact lines on curved substrates. J. Comput. Phys., 294, 484-502(2015)
[11] Wan, D. C., Patnaik, B. S. V., and Wei, G. W. Discrete singular convolutionfinite subdomain method for the solution of incompressible viscous flows. J. Comput. Phys., 180, 229-255(2002)
[12] Raspo, I. A direct spectral domain decomposition method for the computation of rotating flows in a T-shape geometry. Comput. Fluids, 32, 431-456(2003)
[13] Abide, S. and Viazzo, S. A 2D compact fourth-order projection decomposition method. J. Comput. Phys., 206, 252-276(2005)
[14] Jacqmin, D. Calculation of two-phase Navier-Stokes flows using phase-field modeling. J. Comput. Phys., 155, 96-127(1999)
[15] Biben, T., Kassner, K., and Misbah, C. Phase-field approach to three-dimensional vesicle dynamics. Phys. Rev. E, 72, 041921(2005)
[16] Folch, R., Casademunt, J., Hernandez-Machado, A., and Ramirez-Piscina, L. Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast I:theoretical approach. Phys. Rev. E, 60, 1724-1733(1999)
[17] Yue, P. T., Feng, J. J., Liu, C., and Shen, J. A diffuse-interface method for simulating two-phase flows of complex fluids. J. Fluid Mech., 515, 293-317(2004)
[18] Ding, H. and Spelt, P. D. M. Wetting condition in diffuse interface simulations of contact line motion. Phys. Rev. E, 75, 046708(2007)
[19] Ding, H. and Spelt, P. D. M. Inertial effects in droplet spreading:a comparison between diffuseinterface and level-set simulations. J. Fluid Mech., 576, 287-296(2007)
[20] Ding, H. and Spelt, P. D. M. Onset of motion of a three-dimensional droplet on a wall in shear flow at moderate Reynolds numbers. J. Fluid Mech., 599, 341-362(2008)
[21] Ding, H., Gilani, M. N. H., and Spelt, P. D. M. Sliding, pinch-off and detachment of a droplet on a wall in shear flow. J. Fluid Mech., 644, 217-244(2010)
[22] Ding, H., Li, E. Q., Zhang, F. H., Sui, Y., Spelt, P. D. M., and Thoroddsen, S. T. Propagation of capillary waves and ejection of small droplets in rapid droplet spreading. J. Fluid Mech., 697, 92-114(2012)
[23] Breuer, M., Bernsdorf, J., Zeiser, T., and Durst, F. Accurate computations of the laminar flow past a square cylinder based on two different methods:lattice-Boltzmann and finite-volume. Int. J. Heat and Fluid Flow, 21, 186-196(2000)
[24] Okajima, A. Strouhal numbers of rectangular cylinders. J. Fluid Mech., 123, 379-398(1982)
[25] Sumesh, P. T. and Govindarajan, R. The possible equilibrium shapes of static pendant drops. J. Chem. Phys., 133, 144707(2010)
[26] Sui, Y., Ding, H., and Spelt, P. D. M. Numerical simulations of flows with moving contact lines. Annu. Rev. Fluid Mech., 46, 97-119(2014)
[27] Ding, H., Chen, B. Q., Liu, H. R., Zhang, C. Y., Gao, P., and Lu, X. Y. On the contact-line pinning in cavity formation during solid-liquid impact. J. Fluid Mech., 783, 504-525(2015)
[28] Subramani, H. J., Yeoh, H. K., Suryo, R., Xu, Q., Ambravaneswaran, B., and Basaran, O. A. Simplicity and complexity in a dripping faucet. Phys. Fluids, 18, 032106(2006)
[29] Yarin, A. L. Drop impact dynamics:splashing, spreading, receding, bouncing. Annu. Rev. Fluid Mech., 38, 159-192(2006)
[30] Huang, J. J., Shu, C., and Chew, Y. T. Lattice Boltzmann study of droplet motion inside a grooved channel. Phys. Fluids, 21, 022103(2009)
[31] Wenzel, R. N. Resistance of solid surfaces to wetting by water. Ind. Eng. Chem., 28, 988-994(1936)
[32] Cassie, A. B. D. and Baxter, S. Wettability of porous surfaces. Trans. Faraday Soc., 40, 546-550(1944)
[33] Barrero, A. and Loscertales, I. G. Micro- and nano-particles via capillary flows. Annu. Rev. Fluid Mech., 39, 89-106(2007)
[34] Herrada, M. A., Ganan-Calvo, A. M., Ojeda-Monge, A., Bluth, B., and Riesco-Chueca, P. Liquid flow focused by a gas:jetting, dripping, and recirculation. Phys. Rev. E, 78, 036323(2008)
[35] Vega, E. J., Montanero, J. M., Herrada, M. A., and Ganan-Calvo, A. M. Global and local instability of flow focusing:the influence of the geometry. Phys. Fluids, 22, 064105(2010)
[36] Montanero, J. M., Rebollo-Munoz, N., Herrada, M. A., and Ganan-Calvo, A. M. Global stability of the focusing effect of fluid jet flows. Phys. Rev. E, 83, 036309(2011)
[37] Gañán-Calvo, A. M. and Riesco-Chueca, P. Jetting-dripping transition of a liquid jet in a lower viscosity co-flowing immiscible liquid:the minimum flow rate in flow focusing. J. Fluid Mech., 553, 75-84(2006)
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