Level set method for computational multi-fluid dynamics: A review on developments, applications and analysis
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  • 作者:ATUL SHARMA
  • 关键词:Dual ; resolution LSM ; sharp ; interface LSM ; phase change ; stratified flow ; jet break ; up
  • 刊名:Sadhana
  • 出版年:2015
  • 出版时间:May 2015
  • 年:2015
  • 卷:40
  • 期:3
  • 页码:627-652
  • 全文大小:2,324 KB
  • 参考文献:Aggarwal V, Gada V H and Sharma A 2013 Parallel computation of 3D transient two-phase flow using level-set method. Numer. Heat Transfer-B 63: 327鈥?56
    Bj酶rklund E 2009 The level-set method applied to droplet dynamics in the presence of an electric field. Comput. Fluids 38: 358鈥?69
    Brackbill J U, Kothe D B and Zemach C 1992 A continuum method for modeling surface tension. J. Comput. Phys. 100: 335鈥?54
    Chakraborty I, Ray B, Biswas G, Durst F, Sharma A and Ghoshdastidar P S 2009 Computational investigation on bubble detachment from submerged orifice in quiescent liquid under normal and reduced gravity. Phys. Fluids 21: 62103鈥?-17
    Chakraborty I, Biswas G and Ghoshdastidar P S 2011 Bubble generation in quiescent and co-flowing liquids. Int. J. Heat and Mass Transfer 54: 4673鈥?688
    Chang Y C, Hou T Y, Merriman B and Osher S 1996 A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. J. Comput. Phys. 124: 449鈥?64
    Chen S, Merriman B, Osher S and Smereka P 1997 A simple level set method for solving stefan problems. J. Comput. Phys. 135: 8鈥?9
    Das S, Gada V H and Sharma A 2014 Analytical and level-set method based numerical study for two-phase stratified flow in a pipe. Numer. Heat Transfer-A In-Press
    Datta D, Gada V H and Sharma A 2011 Analytical and level set method based numerical study for two-phase stratified flow in a plane channel and a square duct. Numer. Heat Transfer B 60 (4): 347鈥?80
    Desjardins O, Moureau V and Pitsch H 2008 An accurate conservative level set/ghost fluid method for simulating turbulent atomization. J. Comput. Phys. 227 (18): 8395鈥?416
    Ding H and Spelt P D M 2007 Inertial effects in droplet spreading: a comparison between diffuse-interface and level-set simulations. J. Fluid Mech. 576: 287鈥?96
    Ding H and Yuan C 2014 On the diffuse interface method using a dual-resolution Cartesian grid. J. Comput. Phys. 273: 243鈥?54
    Du Q, Li D, Li Y, Li R and Zhang P 2001 Simulating a double casting technique using level set method. Comp. Mat. Sci. 22: 200鈥?12
    Enright D, Fedkiw R, Ferziger J and Mitchell I 2002 A hybrid particle level set method for improved interface capturing. J. Comput. Phys. 183: 83鈥?16
    Fedkiw R, Aslam T, Merriman B and Osher S 1999a A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J. Comput. Phys. 152 (2): 457鈥?92
    Fedkiw R, Aslam T and Xu S 1999b The ghost fluid method for deflagration and detonation discontinuities. J. Comput. Phys. 154: 393鈥?27
    Fortmeier O and Bucker H M 2011 A parallel strategy for a level set simulation of droplets moving in a liquid medium. Lect. Notes Computer Science 6449: 200鈥?09
    Gada V H 2012 A novel level-set based CMFD methodology in 2D/3D Cartesian and cylindrical coordinates and its application for analysis of stratified flow and film boiling. Ph.D Thesis, Mech. Eng., IIT Bombay Mumbai
    Gada V H and Sharma A 2009a On derivation and physical-interpretation of level set method based equations for two-phase flow simulations. Numer. Heat Transfer-B 56: 307鈥?22
    Gada V H and Sharma A 2009b Simulation of multi-mode film boiling using level-set method. Proc. of ASME Int. Mech. Eng. Congress and Exposition, Orlando, Florida, IMECE-11161
    Gada V H and Sharma A 2011 On novel dual-grid level-set method for two-phase flow simulation. Numer. Heat Transfer-B 59: 26鈥?7
    Gada V H and Sharma A 2012 Analytical and level-set method based numerical study on oil-water smooth/wavy stratified-flow in an inclined plane-channel. Int. J. Multiphase Flow 38: 99鈥?17
    Gada V H, Datta D and Sharma A 2013 Analytical and numerical study for two-phase stratified-flow in a channel subjected to different thermal boundary conditions. Int. J. Thermal Sciences 71: 88鈥?02
    Gibou F and Fedkiw R 2005 A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem. J. Comput. Phys. 202: 577鈥?01
    Gibou F, Fedkiw R, Cheng L T and Kang M 2002 A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. J. Comput. Phys. 176: 205鈥?27
    Gibou F, Chen L, Nguyen D and Banerjee S 2007 A level set based sharp interface method for the multiphase incompressible navier-stokes equations with phase change. J. Comput. Phys. 222: 536鈥?55
    Gomez P, Hernandez J and Lopez J 2005 On the reinitialization procedure in a narrow-band locally refined level set method for interfacial flows. Int. J. Numer. Methods Eng. 63 (10): 1478鈥?512
    Hartmann D, Meinke M and Schr枚der W 2008 Differential equation based constrained reinitialization for level set methods. J. Comput. Phys. 227 (14): 6821鈥?845
    Hartmann D, Meinke M and Schr枚der W 2010a The constrained reinitialization equation for level set methods. J. Comput. Phys. 229 (5): 1514鈥?535
    Hartmann D, Meinke M and Schr枚der W 2010b On accuracy and efficiency of constrained reinitialization. Int. J. Numer. Methods Fluids 63 (11): 1347鈥?358
    Hens A, Biswas G and De S 2014 Analysis of interfacial instability and multimode bubble formation in saturated boiling using Coupled Level Set and Volume- of- Fluid approach. Phys. Fluids 26: 012105鈥?-14
    Herrmann M 2008 A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids. J. Comput. Phys. 227 (4): 2674鈥?706
    Jemison M, Loch E, Sussman M, Shashkov M, Arienti M, Ohta M and Wang Y 2013 A coupled level set-moment of fluid method for incompressible two-phase flows. J. Sci. Comput. 54: 454鈥?91
    Jiang G S and Peng D 2000 Weighted ENO schemes for hamilton jacobi equations. SIAM J. Sci. Comput. 21: 2126鈥?143
    Juric D and Tryggvason G 1998 Computations of boiling flows. Int. J. Multiphase Flow 24: 387鈥?10
    Kang M, Fedkiw R and Liu X -D 2000 A boundary condition capturing method for multiphase incompressible flow. J. Sci. Comput. 15 (3): 323鈥?60
    Lakdawala A M, Gada V H and Sharma A 2014a A dual grid level set method based study of interface-dynamics for a liquid jet injected upwards into another liquid. Int. J. Multiphase Flow 59: 206鈥?20
    Lakdawala A M, Thaokar R and Sharma A 2014b Break-up of a non-Newtonian jet injected downwards in a Newtonian liquid. Sadhna - Academy Proc. Eng. Sci. (under review)
    Lakdawala A M, Gada V H and Sharma A 2015 On dual grid level-set method for computational-electro-multi-fluid-dynamics simulation. Numerical Heat Transfer-B 65 (2): 161鈥?85
    Lakehal D, Larrignon G and Narayanan C 2008a Computational heat transfer and two-phase flow topology in miniature tubes. Microfluid Nanofluid 4 (4): 261鈥?71
    Lakehal D, Larrignon G and Narayanan C 2008b Two-phase convective heat transfer in miniature pipes under normal and microgravity conditions. J. Heat Transfer 130 (7): 1鈥?
    Lee S H, Hur N and Kang S 2011 A numerical analysis of drop impact on liquid film by using a level set method. J. Mech. Sci. Tech. 25 (10): 2567鈥?572
    Liu X -D, Fedkiw R and Kang M 2000 A boundary condition capturing method for Poisson鈥檚 equation on irregular domains. J. Comput. Phys. 160: 151鈥?78
    Liu J, Nguyen N -T and Yap Y F 2011a Numerical studies of sessile droplet shape with moving contact lines. Micro Nanosystems 3: 56鈥?4
    Liu J, Yap Y F and Nguyen N -T 2011b Numerical study of the formation process of ferrofluid droplets. Phys. Fluids 23: 072008鈥?-10
    Losasso F, Fedkiw R and Osher S 2006 Spatially adaptive techniques for level set methods and incompressible flow. Comput. Fluids 35 (10): 995鈥?010
    Martin J C and Moyce W J 1952 An experimental study of the collapse of liquid columns on a rigid horizontal plane. Philos. Trans. Roy. Soc. London Ser. A 244: 312鈥?24
    McCaslin J O and Desjardins O 2014 A localized re-initialization equation for the conservative level set method. J. Comput. Phys. 262: 408鈥?26
    M茅nard T, Tanguy S and Berlemont 2007 A Coupling level set/VOF/ghost fluid methods: Validation and application to 3D simulation of the primary break-up of a liquid jet. Int. J. Multiphase Flow 33: 510鈥?24
    Merriman B, Bence J K and Osher S 1994 Motion of multiple junctions: A level set approach. J. Comput. Phys. 112: 334鈥?63
    Min C 2010 On reinitializing level set functions. J. Comput. Phys. 229 (8): 2764鈥?772
    Min C and Gibou F 2007 A second order accurate level set method on non-graded adaptive Cartesian grids. J. Comput. Phys. 225 (1): 300鈥?1
    Mukherjee A and Kandlikar S G 2005 Numerical simulation of growth of a vapor bubble during flow boiling of water in a microchannel. Microfluid Nanofluid 1 (2): 137鈥?45
    Mukherjee A and Kandlikar S G 2007 Numerical study of single bubbles with dynamic contact angle during nucleate pool boiling. Int. J. Heat Mass Transfer 50: 127鈥?38
    Nguyen D, Fedkiw R and Kang M 2001 A boundary condition capturing method for incompressible flame discontinuities. J. Comput. Phys. 172 (1): 71鈥?8
    Ni M J, Komori S and Morley N B 2006 Direct simulation of falling droplet in a closed channel. Int. J. Heat Mass Transfer 49: 366鈥?76
    Ohta M, Kikuchi D, Yoshida Y and Sussman M 2011 Robust numerical analysis of the dynamic bubble formation process in a viscous liquid. Int. J. Multiphase Flow 37: 1059鈥?071
    Olsson E and Kreiss G 2005 A conservative level set method for two phase flow. J. Comput. Phys. 210 (1): 225鈥?46
    Olsson E, Kreiss G and Zahedi S 2007 A conservative level set method for two phase flow II. J. Comput. Phys. 225 (1): 785鈥?07
    Osher S and Fedkiw R 2003 Level set methods and dynamic implicit surfaces. New York: Springer-Verlag
    Osher S and Sethian J A 1988 Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1): 12鈥?9
    Pan Y and Suga K 2003 Capturing the pinch-off of liquid jets by the level set method. J. Fluids Eng. 125 (5): 922鈥?27
    Patil N D, Sharma A and Bhardwaj R 2014 Level set method based simulations on impact-dynamics of bouncing and non-bouncing droplet on superhydrophobic substrates. Proc. 5th Int. and 41st National Conference on Fluid Mech. and Fluid Power, IIT Kanpur Paper No. 551
    Peng D, Merriman B, Osher S, Zhao H K and Kang M 1999 A PDE-based fast local level set method. J. Comput. Phys. 155: 410鈥?38
    Ray B, Biswas G and Sharma A 2010 Generation of secondary droplets in coalescence of a drop at a liquid/ liquid interface. J. Fluid Mech. 655: 72鈥?04
    Ray B, Biswas G and Sharma A 2012a Oblique drop impact on deep and shallow liquid. Commun. Comput. Phys. 11: 1386鈥?396
    Ray B, Biswas G and Sharma A 2012b Bubble pinch-off and scaling during liquid drop impact on liquid pool. Phys. Fluids 24: 082108鈥?-11
    Ray B, Biswas G, Sharma A and Welch S W J 2013 CLSVOF method to study consecutive drop impact on liquid pool. Int. J. Numer. Methods Heat and Fluid Flow 23: 143鈥?58
    Rocca G D and Blanquart G 2014 Level set reinitialization at a contact line. J. Comput. Phys. 265: 34鈥?9
    Russo G and Smereka P 2000 A remark on computing distance functions. J. Comput. Phys. 163 (1): 51鈥?7
    Salih A and Ghosh-Moulic S 2009 Some numerical studies of interface advection properties of level set method. Sadhna - Academy Proc. Eng. Sci. 34 (2): 271鈥?98
    Sato Y and Nic虇eno G 2012 A new contact line treatment for a conservative level set method. J. Comput. Phys. 231: 3887鈥?95
    Sethian J A 1999 Level set methods and fast marching methods. 2nd edition, New York: Cambridge University Press
    Shin S and Juric D 2002 Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity. J. Comput. Phys. 180 (2): 427鈥?70
    Shin S and Juric D 2009 A hybrid interface method for three-dimensional multiphase flows based on front tracking and level set techniques. Int. J. Numer. Methods Fluids 60 (7): 753鈥?78
    Shu C W and Osher S 1989 Efficient implementation of essentially non-oscillatory shock-capturing schemes II. J. Comput. Phys. 83: 32鈥?8
    Smith K A, Ottino J M and Warren P B 2005 Simple representation of contact-line dynamics in a level-set model of an immiscible fluid interface. Ind. Eng. Chem. Res. 44 (5): 1194鈥?198
    Son G and Dhir V K 1998 Numerical simulation of film boiling near critical pressures with a level set method. J. Heat Transfer 120: 183鈥?92
    Son G and Dhir V K 2007 A level set method for analysis of film boiling on an immersed solid surface. Numer. Heat Transfer-B 52 (2): 153鈥?77
    Son G and Dhir V K 2008 Three-dimensional simulation of saturated film boiling on a horizontal cylinder. Int. J. Heat Mass Transfer 51: 1156鈥?167
    Son G, Dhir V K and Ramanujapu N 1999 Dynamics and heat transfer associated with a single bubble during nucleate boiling on a horizontal surface. J. Heat Transfer 121 (3): 623鈥?3
    Spelt P D M 2005 A level-set approach for simulations of flows with multiple moving contact lines with hysteresis. J. Comput. Phys. 207 (2): 389鈥?04
    Starinshak D P, Karni S and Roe P L 2014 A new level set model for multimaterial flows. J. Comput. Phys. 262 (1): 1鈥?6
    Strain J 1999 Tree methods for moving interfaces. J. Comput. Phys. 151 (2): 616鈥?48
    Suh Y and Son G 2009 A sharp-interface level-set method for simulation of a piezoelectric inkjet process. Numer. Heat Transfer-B 55: 295鈥?2
    Sussman M and Fatemi E 2000 An efficient interface preserving level set re-distancing algorithm and its application to interfacial incompressible flow. SIAM J. Sci. Comput. 20: 1165鈥?191
    Sussman M and Puckett E 2000 A coupled level set and volume-of-fluid for computing 3d and axisymmetric incompressible two-phase flow. J. Comput. Phys. 162: 301鈥?37
    Sussman M, Samereka P and Osher S 1994 A level set approach for computing solutions to incompressible two-phase flows. J. Comput. Phys. 114: 146鈥?59
    Sussman M, Fatemi E, Semereka P and Osher S 1998 An improved level set method for incompressible two-phase flows. Comput. Fluids 27: 663鈥?80
    Sussman M, Almgren A S, Bell J B, Colella P, Howell L H and Welcome M L 1999 An adaptive level set approach for incompressible two-phase flows. J. Comput. Phys. 148: 81鈥?24
    Sutaria M, Gada V H, Sharma A and Ravi B 2012 Level-set-method based computation of feed-paths for casting solidification. J. Mat. Proc. Tech. 212: 1236鈥?249
    Takahira H, Horiuchi T and Banerjee S 2004 An improved three-dimensional level set method for gas-liquid two-phase flows. J. Fluids Eng. 126: 329鈥?38
    Tan L and Zabaras N 2007 Modeling the growth and interface of multiple dendrites in solidification using a level set method. J. Comput. Phys. 226: 131鈥?55
    Tanguy S and Berlemont A 2005 Application of a level set method for simulation of droplet collisions. Int. J. Multiphase Flow31: 1015鈥?035
    Tanguy S, M茅nard T and Berlemont A 2007 A level set method for vaporizing two-phase flows. J. Comput. Phys. 221 (2): 837鈥?53
    Tanguy S, Sagan M, Lalanne B, Couderc F and Colin C 2014 Benchmarks and numerical methods for the simulation of boiling flows. J. Comput. Phys. 264: 1鈥?2
    Tomar G, Biswas G, Sharma A and Agrawal A 2005 Numerical simulation of bubble growth in film boiling using a coupled level-set and volume-of-fluid method. Phys. Fluids 17: 112103鈥?-13
    Tomar G, Gerlach D, Biswas G, Alleborn N, Sharma A, Durst F, Welch S W J and Delgado A 2007 Two-phase electrohydrodynamic simulations using a volume-of-fluid approach. J. Comp. Phys. 227: 1267鈥?285
    Tomar G, Biswas G, Sharma A and Welch S W J 2008 Multimode analysis of bubble growth in saturated film boiling. Phys. Fluids 20: 092101鈥?-7
    Tomar G, Biswas G, Sharma A and Welch S W J 2009 Influence of electric field on saturated film boiling. Phys. Fluids 21: 032107鈥?-8
    Walker C and M眉ller B 2013 Contact line treatment with the sharp interface method. Comput. Fluids 84: 255鈥?61
    Wang K, Chang A, Kale L V and Dantzig J A 2006 Parallelization of a level set method for simulating dendritic growth. J. Parallel Distributed Computing 66: 1379鈥?386
    Wang P, Sun H, Wong P Y, Fukuda H and Ando T 2012 Modeling of droplet-based processing for the production of high-performance particulate materials using the level set method. Numer. Heat Transfer-A 61: 401鈥?16
    Welch S W J and Biswas G 2007 Direct simulation of film boiling including electrohydrodynamic forces. Phys. Fluids 19: 012106鈥?-11
    W枚rner M 2012 Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications. Microfluid Nanofluid 12: 841鈥?86
    Wu J, Dhir V K and Qian J 2007 Numerical simulation of supercooled nucleate boiling by coupling level-set method with moving-mesh method. Numer. Heat Transfer-B 51 (6): 535鈥?63
    Xia H, Tucker V and Dawes W N 2010 Level sets for CFD in aerospace engineering. Prog. in Aerospace Sci. 46: 274鈥?83
    Xu J and Ren W 2014 A level-set method for two-phase flows with moving contact line and insoluble surfactant. J. Comp. Phys. 263: 71鈥?0
    Yap Y F, Chai J C, Toh K C, Wong T N and Lan Y C 2005 Numerical modeling of unidirectional stratified flow with and without phase change. Int. J. Heat Mass Transfer 48: 477鈥?86
    Yap Y F, Chai J C, Toh K C and Wong T N 2006a Modeling the flows of two immiscible fluids in a three-dimensional square channel using the level-set method. Numer. Heat Transfer-B 49 (9): 893鈥?04
    Yap Y F, Chai J C, Wong T N, Toh K C and Zhang H Y 2006b A global mass correction scheme for the level-set method. Numer. Heat Transfer-B 50 (5): 455鈥?72
    Yokoi K, Vadillo D, Hinch J and Hutchings I 2009 Numerical studies of the influence of the dynamic contact angle on a droplet impacting on a dry surface. Phys. Fluids 21: 072102鈥?-12
    Zahedi S, Gustavsson K and Kreiss G 2009 A conservative level set method for contact line dynamics. J. Comp. Phys. 228 (17): 6361鈥?375
    Zaspel P and Griebel M 2013 Solving incompressible two-phase flows on multi-GPU clusters. Comput. Fluids 80: 356鈥?4
    Zhao L, Bai X, Li T and Williams J J R 2014 Improved conservative level set method. Int. J. Numer. Meth. Fluids 75: 575鈥?90
    Zhilin L and Bharat S 1999 Fast and accurate numerical approaches for Stefan problems and crystal growth. Numer. Heat Transfer-B 35: 461鈥?84
    Zuzio D and Estivalezes J L 2011 An efficient block parallel AMR method for two phase interfacial flow simulations. Comput. Fluids 44: 339鈥?57
  • 作者单位:ATUL SHARMA (1)

    1. Department of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai, 400 076, India
  • 刊物类别:Engineering
  • 刊物主题:Engineering, general
  • 出版者:Springer India, in co-publication with Indian Academy of Sciences
  • ISSN:0973-7677
文摘
Functions and conservation as well as subsidiary equations in Level Set Method (LSM) are presented. After the mathematical formulation, improvements in the numerical methodology for LSM are reviewed here for advection schemes, reinitialization methods, hybrid methods, adaptive-grid LSM, dual-resolution LSM, sharp-interface LSM, conservative LSM, parallel computing and extension from two to multi fluid/phase as well as to various types of two-phase flow. In the second part of this article, LSM method based Computational Multi-Fluid Dynamics (CMFD) applications and analysis are reviewed for four different types of multi-phase flow: separated and parallel internal flow, drop/bubble dynamics during jet break-up, drop impact dynamics on a solid or liquid surface and boiling. In the last twenty years, LSM has established itself as a method which is easy to program and is accurate as well as computationally-efficient.

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