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Volumn 50, Issue 5, 2006, Pages 395-408

Projection and simple methods for single-fluid and multiple-fluid incompressible unsteady flows-general formula

Author keywords

[No Author keywords available]

Indexed keywords

FRACTIONAL STEP METHOD; PROJECTION METHODS;

EID: 33749504365     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407790600604692     Document Type: Article
Times cited : (6)

References (34)
  • 1
    • 0001608079 scopus 로고
    • A second-order projection method for the incompressible navier-stokes equations
    • J. B. Bell, P. Colella, and H. M. Glaz, A Second-Order Projection Method for the Incompressible Navier-Stokes Equations, J. Comput. Phys., vol. 85, p. 257, 1989.
    • (1989) J. Comput. Phys. , vol.85 , pp. 257
    • Bell, J.B.1    Colella, P.2    Glaz, H.M.3
  • 2
    • 0001373981 scopus 로고
    • A second-order projection method for variable density flows
    • J. B. Bell and D. L. Marcus, A Second-Order Projection Method for Variable Density Flows, J. Comput. Phys., vol. 101, p. 334, 1992.
    • (1992) J. Comput. Phys. , vol.101 , pp. 334
    • Bell, J.B.1    Marcus, D.L.2
  • 3
    • 0031621885 scopus 로고    scopus 로고
    • SIMPLER-based procedure for numerical simulation of dynamic vortical characteristics of some turbulent flows
    • Y. C. Chao and W. F. Chou, SIMPLER-Based Procedure for Numerical Simulation of Dynamic Vortical Characteristics of Some Turbulent Flows, Numer. Heat Transfer B, vol. 33, pp. 37-64, 1998.
    • (1998) Numer. Heat Transfer B , vol.33 , pp. 37-64
    • Chao, Y.C.1    Chou, W.F.2
  • 4
    • 0032686426 scopus 로고    scopus 로고
    • The development of a bubble rising in a viscous liquid
    • L. Chen, S. V. Garimella, J. A. Reizes, and E. Leonardi, The Development of a Bubble Rising in a Viscous Liquid, J. Fluid Mech., vol. 387, pp. 61-96, 1999.
    • (1999) J. Fluid Mech. , vol.387 , pp. 61-96
    • Chen, L.1    Garimella, S.V.2    Reizes, J.A.3    Leonardi, E.4
  • 5
    • 0003044159 scopus 로고
    • Effects of the computational time step on numerical solutions of turbulent flow
    • H. Choi and P. Moin, Effects of the Computational Time Step on Numerical Solutions of Turbulent Flow, J. Comput. Phys., vol. 113, pp. 1-4, 1994.
    • (1994) J. Comput. Phys. , vol.113 , pp. 1-4
    • Choi, H.1    Moin, P.2
  • 6
    • 84968510911 scopus 로고
    • Numerical solution of navier-stokes equations
    • A. J. Chorin, Numerical Solution of Navier-Stokes Equations, Math. Comput., vol. 22, p. 745, 1968.
    • (1968) Math. Comput. , vol.22 , pp. 745
    • Chorin, A.J.1
  • 7
    • 0030170477 scopus 로고    scopus 로고
    • Complete pressure correction algorithm for solution of incompressible navier-stokes equations on a nonstaggered grid
    • A. W. Date, Complete Pressure Correction Algorithm for Solution of Incompressible Navier-Stokes Equations on a Nonstaggered Grid, Numer. Heat Transfer B, vol. 29, pp. 441-458, 1996.
    • (1996) Numer. Heat Transfer B , vol.29 , pp. 441-458
    • Date, A.W.1
  • 8
    • 28144434048 scopus 로고
    • Approximation factorization as a high order splitting for implicit incompressible flow equations
    • J. K. Dukowicz and A. S. Dvinsky, Approximation Factorization as a High Order Splitting for Implicit Incompressible Flow Equations, J. Comput. Phys., vol. 102, pp. 336-347, 1992.
    • (1992) J. Comput. Phys. , vol.102 , pp. 336-347
    • Dukowicz, J.K.1    Dvinsky, A.S.2
  • 9
    • 0347530197 scopus 로고    scopus 로고
    • Balanced force implementation of the continuum surface tension force method into a pressure correction algorithm
    • Honolulu, HI, July 6-11, Los Alamos Natl. Lab. Rep. LA-UR-03-2128
    • M. M. Francois, D. B. Kothe, E. D. Dendy, J. M. Sicilian, and M. W. Williams, Balanced Force Implementation of the Continuum Surface Tension Force Method into a Pressure Correction Algorithm, Proc. FEDSM'03, 4th ASME/JSME Joint Fluids Engineering Conf., Honolulu, HI, July 6-11, 2003, Los Alamos Natl. Lab. Rep. LA-UR-03-2128.
    • (2003) Proc. FEDSM'03, 4th ASME/JSME Joint Fluids Engineering Conf.
    • Francois, M.M.1    Kothe, D.B.2    Dendy, E.D.3    Sicilian, J.M.4    Williams, M.W.5
  • 10
    • 0242460530 scopus 로고    scopus 로고
    • Computations of drop dynamics with the immersed boundary method, part 1: Numerical algorithm and buoyancy-induced effect
    • M. Francois and W. Shyy, Computations of Drop Dynamics with the Immersed Boundary Method, Part 1: Numerical Algorithm and Buoyancy-Induced Effect, Numer. Heat Transfer B, vol. 44, pp. 101-118, 2003.
    • (2003) Numer. Heat Transfer B , vol.44 , pp. 101-118
    • Francois, M.1    Shyy, W.2
  • 11
    • 84987459282 scopus 로고
    • On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduce a nearly consistent mass matrix, part 1: Theory
    • P. Gresho, On the Theory of Semi-Implicit Projection Methods for Viscous Incompressible Flow and Its Implementation via a Finite Element Method that also Introduce a Nearly Consistent Mass Matrix, Part 1: Theory, Int. J. Numer. Meth. Fluids, vol. 11, pp. 587-620, 1990.
    • (1990) Int. J. Numer. Meth. Fluids , vol.11 , pp. 587-620
    • Gresho, P.1
  • 12
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
    • F. H. Harlow and J. E. Welch, Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface, Phys. Fluids, vol. 8, no. 12, pp. 2182-2189, 1965.
    • (1965) Phys. Fluids , vol.8 , Issue.12 , pp. 2182-2189
    • Harlow, F.H.1    Welch, J.E.2
  • 13
    • 46149142859 scopus 로고
    • Solution of the implicitly discretized fluid flow equations by operator-splitting
    • R. I. Issa, Solution of the Implicitly Discretized Fluid Flow Equations by Operator-Splitting, J. Comput. Phys., vol. 62, pp. 40-65, 1985.
    • (1985) J. Comput. Phys. , vol.62 , pp. 40-65
    • Issa, R.I.1
  • 14
    • 46549092989 scopus 로고
    • Application of fractional-step method to incompressible navier-stokes equations
    • J. Kim and P. Moin, Application of Fractional-Step Method to Incompressible Navier-Stokes Equations, J. Comput. Phys., vol. 59, p. 108, 1985.
    • (1985) J. Comput. Phys. , vol.59 , pp. 108
    • Kim, J.1    Moin, P.2
  • 15
    • 0027609665 scopus 로고
    • Hybrid relaxationl - A technique to enhance the rate of convergence of iterative algorithms
    • R. Marek and J. Straub, Hybrid Relaxationl - A Technique to Enhance the Rate of Convergence of Iterative Algorithms, Numer. Heat Transfer B, vol. 23, pp. 483-497, 1993.
    • (1993) Numer. Heat Transfer B , vol.23 , pp. 483-497
    • Marek, R.1    Straub, J.2
  • 16
    • 0001326332 scopus 로고
    • An experimental study of the collapse of liquid columns on a rigid horizontal plane
    • J. C. Martin and W. J. Moyce, An Experimental Study of the Collapse of Liquid Columns on a Rigid Horizontal Plane, Phil. Trans. Roy. Soc. London, Ser. A, vol. 244, no. 882, pp. 312-324, 1952.
    • (1952) Phil. Trans. Roy. Soc. London, Ser. A , vol.244 , Issue.882 , pp. 312-324
    • Martin, J.C.1    Moyce, W.J.2
  • 17
    • 0032203584 scopus 로고    scopus 로고
    • Benchmark solution for unsteady state CFD problems
    • A. A. Mohamad, Benchmark Solution for Unsteady State CFD Problems, Numer. Heat Transfer A., vol. 34, pp. 653-672, 1998.
    • (1998) Numer. Heat Transfer A. , vol.34 , pp. 653-672
    • Mohamad, A.A.1
  • 18
    • 0345724731 scopus 로고    scopus 로고
    • Projection methods for the calculation of incompressible unsteady flows
    • M.-J. Ni, S. Komori, and N. Morley, Projection Methods for the Calculation of Incompressible Unsteady Flows, Numer. Heat Transfer B, vol. 44, no. 6, pp. 533-551, 2003.
    • (2003) Numer. Heat Transfer B , vol.44 , Issue.6 , pp. 533-551
    • Ni, M.-J.1    Komori, S.2    Morley, N.3
  • 19
    • 9944264588 scopus 로고    scopus 로고
    • Temporal second-order accuracy of SIMPLE-type methods for unsteady flows
    • M.-J. Ni and M. Abdou, Temporal Second-Order Accuracy of SIMPLE-Type Methods for Unsteady Flows, Numer. Heat Transfer B, vol. 46, no. 6, pp. 529-548, 2004.
    • (2004) Numer. Heat Transfer B , vol.46 , Issue.6 , pp. 529-548
    • Ni, M.-J.1    Abdou, M.2
  • 20
    • 0344430032 scopus 로고    scopus 로고
    • A variable density projection method for interfacial flows
    • M.-J. Ni, M. Abdou, and S. Komori, A Variable Density Projection Method for Interfacial Flows, Numer. Heat Transfer B, vol. 44, no. 6, pp. 553-574, 2003.
    • (2003) Numer. Heat Transfer B , vol.44 , Issue.6 , pp. 553-574
    • Ni, M.-J.1    Abdou, M.2    Komori, S.3
  • 22
    • 0019621417 scopus 로고
    • A calculation procedure for two-dimensional elliptic situations
    • S. V. Patankar, A Calculation Procedure for Two-Dimensional Elliptic Situations, Numer. Heat Transfer, vol. 4, pp. 409-425, 1981.
    • (1981) Numer. Heat Transfer , vol.4 , pp. 409-425
    • Patankar, S.V.1
  • 23
    • 33044504607 scopus 로고
    • A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
    • S. V. Patankar and D. B. Spalding, A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows, Int. J. Heat Mass Transfer, vol. 15, pp. 1787-1806, 1972.
    • (1972) Int. J. Heat Mass Transfer , vol.15 , pp. 1787-1806
    • Patankar, S.V.1    Spalding, D.B.2
  • 24
    • 0025226342 scopus 로고
    • Analysis of pressure-velocity coupling on non-orthogonal grids
    • M. Peric, Analysis of Pressure-Velocity Coupling on Non-orthogonal Grids, Numer. Heat Transfer B, vol. 17, pp. 63-82, 1990.
    • (1990) Numer. Heat Transfer B , vol.17 , pp. 63-82
    • Peric, M.1
  • 25
    • 0002615718 scopus 로고
    • An analysis of the fractional step method
    • J. B. Perot, An Analysis of the Fractional Step Method, J. Comput. Phys., vol. 108, pp. 51-58, 1993.
    • (1993) J. Comput. Phys. , vol.108 , pp. 51-58
    • Perot, J.B.1
  • 26
    • 0031568182 scopus 로고    scopus 로고
    • A high-order projection method for tracking fluid interfaces in variable density incompressible flows
    • E. G. Packet, A. S. Almgren, J. B. Bell, D. L. Marcus, and W. J. Rider, A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows, J. Comput. Phys., vol. 130, pp 269-282, 1997.
    • (1997) J. Comput. Phys. , vol.130
    • Packet, E.G.1    Almgren, A.S.2    Bell, J.B.3    Marcus, D.L.4    Rider, W.J.5
  • 27
    • 0031205775 scopus 로고    scopus 로고
    • Numerical simulation of saturated film boiling on a horizontal surface
    • G. Son and V. K. Dhir, Numerical Simulation of Saturated Film Boiling on a Horizontal Surface, ASME J. Heat Transfer, vol. 119, pp. 525-533, 1997.
    • (1997) ASME J. Heat Transfer , vol.119 , pp. 525-533
    • Son, G.1    Dhir, V.K.2
  • 28
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • M. Sussman, P. Smereka, and S. Osher, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, J. Comput. Phys., vol. 114, pp. 146-159, 1994.
    • (1994) J. Comput. Phys. , vol.114 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 29
    • 1242353043 scopus 로고    scopus 로고
    • A novel segregated algorithm for incompressible fluid flow and heat transfer problems - CLEAR (Coupled and Linked Equations Algorithm Revised) Part I: Mathematical formulation and solution procedure
    • W. Q. Tao, Z. G. Qu, and Y. L. He, A Novel Segregated Algorithm for Incompressible Fluid Flow and Heat Transfer Problems - CLEAR (Coupled and Linked Equations Algorithm Revised) Part I: Mathematical Formulation and Solution Procedure, Numer. Heat Transfer B, vol. 45, pp. 1-18, 2003.
    • (2003) Numer. Heat Transfer B , vol.45 , pp. 1-18
    • Tao, W.Q.1    Qu, Z.G.2    He, Y.L.3
  • 30
    • 33749471522 scopus 로고    scopus 로고
    • TRUCHAS, Physics and Algorithms, version 1.10, Los Alamos National Laboratory, Los Alamos, NM, January
    • TRUCHAS, Physics and Algorithms, version 1.10, Los Alamos Tech. Rep. LA-UR-03-0166, Los Alamos National Laboratory, Los Alamos, NM, January 2003.
    • (2003) Los Alamos Tech. Rep. LA-UR-03-0166
  • 31
    • 0031281171 scopus 로고    scopus 로고
    • Multiphase dynamics in arbitrary geometries on fixed cartesian grids
    • H. S. Udaykumar, H.-C. Kan, W. Shyy, and R. Tran-Son-Tay, Multiphase Dynamics in Arbitrary Geometries on Fixed Cartesian Grids, J. Comput. Phys., vol. 137, pp. 366-405, 1997.
    • (1997) J. Comput. Phys. , vol.137 , pp. 366-405
    • Udaykumar, H.S.1    Kan, H.-C.2    Shyy, W.3    Tran-Son-Tay, R.4
  • 32
    • 0021412675 scopus 로고
    • Enhancement of the SIMPLE method for predicting incompressible fluid flows
    • J. P. Van Doormaal and G. D. Raithby, Enhancement of the SIMPLE Method for Predicting Incompressible Fluid Flows, Numer. Heat Transfer, vol. 7, pp. 147-163, 1984.
    • (1984) Numer. Heat Transfer , vol.7 , pp. 147-163
    • Van Doormaal, J.P.1    Raithby, G.D.2
  • 33
    • 0032064189 scopus 로고    scopus 로고
    • Prediction of duct flows with a pressure-based procedure
    • Y. Wang and S. Komori, Prediction of Duct Flows with a Pressure-Based Procedure, Numer. Heat Transfer A, vol. 33, pp. 723-748, 1998.
    • (1998) Numer. Heat Transfer A , vol.33 , pp. 723-748
    • Wang, Y.1    Komori, S.2
  • 34
    • 0000084316 scopus 로고    scopus 로고
    • An accurate cartesian grid method for viscous incompressible flows with complex immersed boundaries
    • T. Ye, R. Mittal, H. S. Udaykumar, and W. Shyy, An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries, J. Comput. Phys., vol. 156, pp. 209-240, 1999.
    • (1999) J. Comput. Phys. , vol.156 , pp. 209-240
    • Ye, T.1    Mittal, R.2    Udaykumar, H.S.3    Shyy, W.4


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