메뉴 건너뛰기




Volumn 192, Issue 9-10, 2003, Pages 1177-1226

An analysis of the time integration algorithms for the finite element solutions of incompressible Navier - Stokes equations based on a stabilised formulation

Author keywords

Generalised method; Navier Stokes equations; Spacetime finite elements; Stabilised finite element formulation; Time integration schemes

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; DIFFUSION; FINITE DIFFERENCE METHOD; INCOMPRESSIBLE FLOW; INTEGRATION; NAVIER STOKES EQUATIONS; UNSTEADY FLOW;

EID: 0037469606     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(02)00603-5     Document Type: Article
Times cited : (70)

References (38)
  • 2
    • 0019607241 scopus 로고
    • Streamline-upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • A.N. Brooks, T.J.R. Hughes, Streamline-upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 32 (1982) 199-259.
    • (1982) Comput. Methods Appl. Mech. Engrg , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 3
    • 45149144830 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations
    • T.J.R. Hughes, L.P. Franca, G.M. Hulbert, A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations, Comput. Methods Appl. Mech. Engrg. 73 (1989) 173-189.
    • (1989) Comput. Methods Appl. Mech. Engrg , vol.73 , pp. 173-189
    • Hughes, T.J.R.1    Franca, L.P.2    Hulbert, G.M.3
  • 4
    • 0026835076 scopus 로고
    • Incompressible flow computations with stabilized bilinear and linear equal-orderinterpolation velocity-pressure elements
    • T.E. Tezduyar, S. Mittal, S.E. Ray, R. Shih, Incompressible flow computations with stabilized bilinear and linear equal-orderinterpolation velocity-pressure elements, Comput. Methods Appl. Mech. Engrg. 95 (1992) 221-242.
    • (1992) Comput. Methods Appl. Mech. Engrg , vol.95 , pp. 221-242
    • Tezduyar, T.E.1    Mittal, S.2    Ray, S.E.3    Shih, R.4
  • 5
    • 0022810283 scopus 로고
    • A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
    • T.J.R. Hughes, L.P. Franca, M. Balestra, A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations, Comput. Methods Appl. Mech. Engrg. 59 (1986) 85-99.
    • (1986) Comput. Methods Appl. Mech. Engrg , vol.59 , pp. 85-99
    • Hughes, T.J.R.1    Franca, L.P.2    Balestra, M.3
  • 8
    • 0342264461 scopus 로고    scopus 로고
    • A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation
    • E. Onate, A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation, Comput. Methods Appl. Mech. Engrg. 182 (2000) 355-370.
    • (2000) Comput. Methods Appl. Mech. Engrg , vol.182 , pp. 355-370
    • Onate, E.1
  • 9
    • 0029104589 scopus 로고
    • A general algorithm for compressible and incompressible flow. Part I: The split characteristic based scheme
    • O.C. Zienkiewicz, R. Codina, A general algorithm for compressible and incompressible flow. Part I: The split characteristic based scheme, Int. J. Numer. Methods Fluids 20 (1995) 869-885.
    • (1995) Int. J. Numer. Methods Fluids , vol.20 , pp. 869-885
    • Zienkiewicz, O.C.1    Codina, R.2
  • 10
    • 0000199487 scopus 로고    scopus 로고
    • Comparison of some finite element methods for solving the diffusion-convection-reaction equation
    • R. Codina, Comparison of some finite element methods for solving the diffusion-convection-reaction equation, Comput. Methods Appl. Mech. Engrg. 156 (1998) 185-210.
    • (1998) Comput. Methods Appl. Mech. Engrg , vol.156 , pp. 185-210
    • Codina, R.1
  • 12
    • 0012329672 scopus 로고    scopus 로고
    • Advances in stabilised methods in computational mechanics
    • (Ed.)
    • L.P. Franca (Ed.), Advances in stabilised methods in computational mechanics, Comput. Methods Appl. Mech. Engrg. 166 (1998) 1-182.
    • (1998) Comput. Methods Appl. Mech. Engrg , vol.166 , pp. 1-182
    • Franca, L.P.1
  • 14
    • 0027610910 scopus 로고
    • A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized a-method
    • J. Chung, G.M. Hulbert, A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized a-method, J. Appl. Mech. 60 (1993) 371-375.
    • (1993) J. Appl. Mech , vol.60 , pp. 371-375
    • Chung, J.1    Hulbert, G.M.2
  • 15
    • 0034287408 scopus 로고    scopus 로고
    • A generalized a-method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
    • K.E. Jansen, C.H. Whiting, G.M. Hulbert, A generalized a-method for integrating the filtered Navier-Stokes equations with a stabilized finite element method, Comput. Methods Appl. Mech. Engrg. 190 (2000) 305-319.
    • (2000) Comput. Methods Appl. Mech. Engrg , vol.190 , pp. 305-319
    • Jansen, K.E.1    Whiting, C.H.2    Hulbert, G.M.3
  • 20
    • 0026206734 scopus 로고
    • A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations
    • F. Shakib, T.J.R. Hughes, Z. Johan, A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 89 (1991) 141-219.
    • (1991) Comput. Methods Appl. Mech. Engrg , vol.89 , pp. 141-219
    • Shakib, F.1    Hughes, T.J.R.2    Johan, Z.3
  • 23
    • 0026155973 scopus 로고
    • A new finite element formulation for computational fluid dynamics: IX. Fourier analysis of space-time Galerkin/least-squares algorithms
    • F. Shakib, T.J.R. Hughes, A new finite element formulation for computational fluid dynamics: IX. Fourier analysis of space-time Galerkin/least-squares algorithms, Comput. Methods Appl. Mech. Engrg. 87 (1991) 35-58.
    • (1991) Comput. Methods Appl. Mech. Engrg , vol.87 , pp. 35-58
    • Shakib, F.1    Hughes, T.J.R.2
  • 25
    • 0032683150 scopus 로고    scopus 로고
    • A better consistency for low-order stabilized finite element methods
    • K.E. Jansen, S.S. Collis, F. Shakib, A better consistency for low-order stabilized finite element methods, Comput. Methods Appl. Mech. Engrg. 174 (1999) 153-170.
    • (1999) Comput. Methods Appl. Mech. Engrg , vol.174 , pp. 153-170
    • Jansen, K.E.1    Collis, S.S.2    Shakib, F.3
  • 26
    • 0028384960 scopus 로고
    • A boundary integral modification of the Galerkin/least-squares formulation for the Stokes problem
    • J.-J. Droux, T.J.R. Hughes, A boundary integral modification of the Galerkin/least-squares formulation for the Stokes problem, Comput. Methods Appl. Mech. Engrg. 113 (1994) 173-182.
    • (1994) Comput. Methods Appl. Mech. Engrg , vol.113 , pp. 173-182
    • Droux, J.-J.1    Hughes, T.J.R.2
  • 27
    • 0026820445 scopus 로고
    • A new strategy for finite element computations involving moving boundaries and interfaces - The deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests
    • T.E. Tezduyar, M. Behr, J. Liou, A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests, Comput. Methods Appl. Mech. Engrg. 94 (1992) 339-351.
    • (1992) Comput. Methods Appl. Mech. Engrg , vol.94 , pp. 339-351
    • Tezduyar, T.E.1    Behr, M.2    Liou, J.3
  • 28
    • 0026821471 scopus 로고
    • A new strategy for finite element computations involving moving boundaries and interfaces - The deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows and flows with drifting cylinders
    • T.E. Tezduyar, M. Behr, J. Liou, A new strategy for finite element computations involving moving boundaries and interfaces-the deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows and flows with drifting cylinders, Comput. Methods Appl. Mech. Engrg. 94 (1992) 353-371.
    • (1992) Comput. Methods Appl. Mech. Engrg , vol.94 , pp. 353-371
    • Tezduyar, T.E.1    Behr, M.2    Liou, J.3
  • 29
    • 0023366684 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time dependent multidimensional advective-diffusive systems
    • T.J.R. Hughes, L.P. Franca, M. Mallet, A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time dependent multidimensional advective-diffusive systems, Comput. Methods Appl. Mech. Engrg. 63 (1987) 97-112.
    • (1987) Comput. Methods Appl. Mech. Engrg , vol.63 , pp. 97-112
    • Hughes, T.J.R.1    Franca, L.P.2    Mallet, M.3
  • 31
    • 0000122159 scopus 로고    scopus 로고
    • Navier-Stokes equations: Theory and approximation
    • P.G. Ciarlet, J.L. Lions (Eds.), Elsevier, Amsterdam
    • M. Marion, R. Temam, Navier-Stokes equations: Theory and approximation, in: P.G. Ciarlet, J.L. Lions (Eds.), Handbook of Numerical Analysis, vol. VI, Elsevier, Amsterdam, 1998, pp. 503-689.
    • (1998) Handbook of Numerical Analysis , vol.6 , pp. 503-689
    • Marion, M.1    Temam, R.2
  • 33
    • 0034287411 scopus 로고    scopus 로고
    • Finite element stabilization parameters computed from element matrices and vectors
    • T.E. Tezduyar, Y. Osawa, Finite element stabilization parameters computed from element matrices and vectors, Comput. Methods Appl. Mech. Engrg. 190 (2000) 411-430.
    • (2000) Comput. Methods Appl. Mech. Engrg , vol.190 , pp. 411-430
    • Tezduyar, T.E.1    Osawa, Y.2
  • 34
    • 0031554613 scopus 로고    scopus 로고
    • A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems
    • A. Masud, T.J.R. Hughes, A space-time Galerkin/least-squares .nite element formulation of the Navier-Stokes equations for moving domain problems, Comput. Methods Appl. Mech. Engrg. 146 (1997) 91-126.
    • (1997) Comput. Methods Appl. Mech. Engrg , vol.146 , pp. 91-126
    • Masud, A.1    Hughes, T.J.R.2
  • 35
    • 0034926590 scopus 로고    scopus 로고
    • Computational modelling of viscoplastic fluids based on a stabilised finite element method
    • D. Perić, S. Slijepćević, Computational modelling of viscoplastic fluids based on a stabilised finite element method, Engrg. Comput. 18 (2001) 577-591.
    • (2001) Engrg. Comput , vol.18 , pp. 577-591
    • Perić, D.1    Slijepćević, S.2
  • 36
    • 0028196309 scopus 로고
    • Unconditional stability and long-term behaviour of transient algorithms for the incompressible Navier-Stokes and Euler equations
    • J.C. Simo, F. Armero, Unconditional stability and long-term behaviour of transient algorithms for the incompressible Navier-Stokes and Euler equations, Comput. Methods Appl. Mech. Engrg. 111 (1994) 111-154.
    • (1994) Comput. Methods Appl. Mech. Engrg , vol.111 , pp. 111-154
    • Simo, J.C.1    Armero, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.