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Volumn 51, Issue 4, 2006, Pages 385-424

A consistent splitting scheme for unsteady incompressible viscous flows I. Dirichlet boundary condition and applications

Author keywords

Consistent splitting method; Double lid driven cavity; Incompressible viscous flow; Mixed finite element; Navier Stokes equation

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; VISCOUS FLOW;

EID: 33646775301     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1108     Document Type: Article
Times cited : (6)

References (49)
  • 1
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin AJ. Numerical solution of the Navier-Stokes equations. Mathematics of Computation 1968; 22:745-762.
    • (1968) Mathematics of Computation , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 2
    • 84968483581 scopus 로고
    • On the convergence of discrete approximations to the Navier-Stokes equations
    • Chorin AJ. On the convergence of discrete approximations to the Navier-Stokes equations. Mathematics of Computation 1969; 23:341-353.
    • (1969) Mathematics of Computation , vol.23 , pp. 341-353
    • Chorin, A.J.1
  • 3
    • 34250481480 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
    • (in French)
    • Témam R. Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I. Archive for Rational Mechanics and Analysis 1969; 32:135-153 (in French).
    • (1969) Archive for Rational Mechanics and Analysis , vol.32 , pp. 135-153
    • Témam, R.1
  • 4
    • 0041765520 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
    • (in French)
    • Témam R. Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Archive for Rational Mechanics and Analysis 1969; 33:377-385 (in French).
    • (1969) Archive for Rational Mechanics and Analysis , vol.33 , pp. 377-385
    • Témam, R.1
  • 8
    • 67649646329 scopus 로고    scopus 로고
    • Finite element methods for incompressible viscous flow
    • Ciarlet PG, Lions JL (eds). Elsevier/North-Holland: Amsterdam
    • Glowinski R. Finite element methods for incompressible viscous flow. In Handbook of Numerical Analysis, Ciarlet PG, Lions JL (eds). Elsevier/ North-Holland: Amsterdam, 2003.
    • (2003) Handbook of Numerical Analysis
    • Glowinski, R.1
  • 9
    • 11244324581 scopus 로고    scopus 로고
    • Theory and Practice of Finite Elements
    • Springer: New York
    • Ern A, Guermond JL. Theory and Practice of Finite Elements. Applied Mathematical Sciences, vol. 159. Springer: New York, 2004.
    • (2004) Applied Mathematical Sciences , vol.159
    • Ern, A.1    Guermond, J.L.2
  • 11
    • 0242679674 scopus 로고    scopus 로고
    • A new class of truly consistent splitting schemes for incompressible flows
    • Guermond JL, Shen J. A new class of truly consistent splitting schemes for incompressible flows. Journal of Computational Physics 2003; 192:262-276.
    • (2003) Journal of Computational Physics , vol.192 , pp. 262-276
    • Guermond, J.L.1    Shen, J.2
  • 13
    • 0242718371 scopus 로고    scopus 로고
    • Velocity-correction projection methods for incompressible flows
    • Guermond JL, Shen J. Velocity-correction projection methods for incompressible flows. SIAM Journal on Numerical Analysis 2003; 41:112-134.
    • (2003) SIAM Journal on Numerical Analysis , vol.41 , pp. 112-134
    • Guermond, J.L.1    Shen, J.2
  • 14
    • 5644272882 scopus 로고    scopus 로고
    • On the error estimates for the rotational pressure-correction projection methods
    • Guermond JL, Shen J. On the error estimates for the rotational pressure-correction projection methods. Mathematics of Computation 2004; 73:1719-1737.
    • (2004) Mathematics of Computation , vol.73 , pp. 1719-1737
    • Guermond, J.L.1    Shen, J.2
  • 15
    • 0002706567 scopus 로고    scopus 로고
    • A projection/wave-like equation method for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations
    • Pan TW, Glowinski R. A projection/wave-like equation method for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations. Computational Fluid Dynamics Journal 2000; 9:28-42.
    • (2000) Computational Fluid Dynamics Journal , vol.9 , pp. 28-42
    • Pan, T.W.1    Glowinski, R.2
  • 18
    • 0036202978 scopus 로고    scopus 로고
    • A central-difference scheme for a pure stream function formulation of incompressible viscous flow
    • Kupferman R. A central-difference scheme for a pure stream function formulation of incompressible viscous flow. SIAM Journal on Scientific Computing 2001; 23(1):1-18.
    • (2001) SIAM Journal on Scientific Computing , vol.23 , Issue.1 , pp. 1-18
    • Kupferman, R.1
  • 19
    • 0000356257 scopus 로고    scopus 로고
    • New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations
    • Kurganov A, Tadmor E. New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Journal of Computational Physics 2000; 160(2):720-742.
    • (2000) Journal of Computational Physics , vol.160 , Issue.2 , pp. 720-742
    • Kurganov, A.1    Tadmor, E.2
  • 20
    • 0001039561 scopus 로고    scopus 로고
    • Multigrid solution of automatically generated high-order discretizations for the biharmonic equation
    • Altas I, Dym. J, Gupta MM, Manohar RP. Multigrid solution of automatically generated high-order discretizations for the biharmonic equation. SIAM Journal on Scientific Computing 1998; 19(5):1575-1585.
    • (1998) SIAM Journal on Scientific Computing , vol.19 , Issue.5 , pp. 1575-1585
    • Altas, I.1    Dym, J.2    Gupta, M.M.3    Manohar, R.P.4
  • 21
    • 0000266939 scopus 로고    scopus 로고
    • Algebraic multi-grid for discrete elliptic second-order problems
    • (English summary). (Stuttgart, 1996) Pavarino L, Toselli A (eds), Lecture Notes in Computational Science and Engineering, Springer: Berlin
    • Kickinger K. Algebraic multi-grid for discrete elliptic second-order problems (English summary). In Multigrid Methods V (Stuttgart, 1996), Pavarino L, Toselli A (eds), Lecture Notes in Computational Science and Engineering, vol. 3. Springer: Berlin, 1998; 157-172.
    • (1998) Multigrid Methods V , vol.3 , pp. 157-172
    • Kickinger, K.1
  • 24
    • 0016427798 scopus 로고
    • Mathematical analysis of Navier-Stokes equations for incompressible liquids
    • Ladyžhenskaya OA. Mathematical analysis of Navier-Stokes equations for incompressible liquids. Annual Review of Fluid Mechanics 1975; 7:249-272.
    • (1975) Annual Review of Fluid Mechanics , vol.7 , pp. 249-272
    • Ladyžhenskaya, O.A.1
  • 26
    • 0018330228 scopus 로고
    • A multistep technique for the with implicit difference schemes for calculating two- or three-dimensional cavity flows
    • Goda K. A multistep technique for the with implicit difference schemes for calculating two- or three-dimensional cavity flows. Journal of Computational Physics 1979; 30:76-95.
    • (1979) Journal of Computational Physics , vol.30 , pp. 76-95
    • Goda, K.1
  • 27
    • 0030131301 scopus 로고    scopus 로고
    • A comparative study of time-stepping techniques for the incompressible Navier-Stokes equations: From fully implicit non-linear schemes to semi-implicit projection methods
    • Turek S. A comparative study of time-stepping techniques for the incompressible Navier-Stokes equations: from fully implicit non-linear schemes to semi-implicit projection methods. International Journal for Numerical Methods in Fluids 1996; 22:987-1011.
    • (1996) International Journal for Numerical Methods in Fluids , vol.22 , pp. 987-1011
    • Turek, S.1
  • 29
    • 0002259668 scopus 로고
    • On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations
    • Shen J. On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations. Numerische Mathematik 1992; 62(l):49-73.
    • (1992) Numerische Mathematik , vol.62 , Issue.1 , pp. 49-73
    • Shen, J.1
  • 32
    • 0018209485 scopus 로고
    • Numerical methods in fluid dynamics
    • Chu CK. Numerical methods in fluid dynamics. Advances in Applied Mechanics 1978; 18:285-331.
    • (1978) Advances in Applied Mechanics , vol.18 , pp. 285-331
    • Chu, C.K.1
  • 33
    • 0002780733 scopus 로고
    • On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions
    • Taylor C, Morgan K (eds). Prineridge: Swansea
    • Gresho P, Lee RL, Sani R. On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions. In Recent Advances in Numerical Methods in Fluids: Volume 1, Taylor C, Morgan K (eds). Prineridge: Swansea, 1980; 27-79.
    • (1980) Recent Advances in Numerical Methods in Fluids , vol.1 , pp. 27-79
    • Gresho, P.1    Lee, R.L.2    Sani, R.3
  • 34
    • 4544236053 scopus 로고
    • Solution of the unsteady Navier-Stokes equations by a finite-element projection method
    • Taylor C, Morgan K (eds). Prineridge: Swansea
    • Donea J, Giuliani S, Laval H, Quartapelle L. Solution of the unsteady Navier-Stokes equations by a finite-element projection method. In Recent Advances in Numerical Methods in Fluids: Volume 2, Taylor C, Morgan K (eds). Prineridge: Swansea, 1981; 97-132.
    • (1981) Recent Advances in Numerical Methods in Fluids , vol.2 , pp. 97-132
    • Donea, J.1    Giuliani, S.2    Laval, H.3    Quartapelle, L.4
  • 38
    • 33646794295 scopus 로고    scopus 로고
    • A split-step scheme for the incompressible Navier-Stokes equations
    • Hafez MM (ed.). World Scientific Publishing Company: Singapore
    • Henshaw WD, Petersson NA. A split-step scheme for the incompressible Navier-Stokes equations. In Numerical Solutions of Incompressible Flows, Hafez MM (ed.). World Scientific Publishing Company: Singapore, 2003; 108-125.
    • (2003) Numerical Solutions of Incompressible Flows , pp. 108-125
    • Henshaw, W.D.1    Petersson, N.A.2
  • 39
    • 6044235253 scopus 로고
    • A computational method for time dependent two dimensional incompressible viscous flow problems
    • Rep. SRRC-RR-64-17, Sperry Rand Research Center, Sudbury, MA
    • Pearson CE. A computational method for time dependent two dimensional incompressible viscous flow problems. Rep. SRRC-RR-64-17, Sperry Rand Research Center, Sudbury, MA, 1964.
    • (1964)
    • Pearson, C.E.1
  • 40
    • 0022698249 scopus 로고
    • Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder
    • Braza M, Chassaing P, Ha Minh H. Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. Journal of Fluid Mechanics 1986; 165:79-130.
    • (1986) Journal of Fluid Mechanics , vol.165 , pp. 79-130
    • Braza, M.1    Chassaing, P.2    Ha Minh, H.3
  • 41
    • 2342520808 scopus 로고
    • A discrete vector potential model for unsteady incompressible viscous flows
    • Mansutti D, Graziani G, Piva R. A discrete vector potential model for unsteady incompressible viscous flows. Journal of Computational Physics 1991; 92:161-184.
    • (1991) Journal of Computational Physics , vol.92 , pp. 161-184
    • Mansutti, D.1    Graziani, G.2    Piva, R.3
  • 43
    • 0000624711 scopus 로고
    • On the decay of vortices in a viscous fluid
    • Taylor GI. On the decay of vortices in a viscous fluid. Philosophical Magazine 1923; 46:671-674.
    • (1923) Philosophical Magazine , vol.46 , pp. 671-674
    • Taylor, G.I.1
  • 47
    • 33646761549 scopus 로고
    • Four principles of vortex motion
    • Gustafson KE, Sethian JA (eds). SIAM: Philadelphia
    • Gustafson K. Four principles of vortex motion. In Vortex Methods and Vortex Motion, Gustafson KE, Sethian JA (eds). SIAM: Philadelphia, 1991; 95-141.
    • (1991) Vortex Methods and Vortex Motion , pp. 95-141
    • Gustafson, K.1
  • 49
    • 33646792856 scopus 로고    scopus 로고
    • Numerical studies of projection methods
    • Ph.D. Thesis, Department of Mathematics, Chinese University of Hong Kong
    • Wong CF. Numerical studies of projection methods. Ph.D. Thesis, Department of Mathematics, Chinese University of Hong Kong, 2004.
    • (2004)
    • Wong, C.F.1


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