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Volumn 23, Issue 8, 1996, Pages 787-809

Split, characteristic based semi-implicit algorithm for laminar/turbulent incompressible flows

Author keywords

Characteristic Galerkin; General algorithm; Incompressible; Laminar turbulent; Operator splitting

Indexed keywords

ALGORITHMS; INTERPOLATION; LAMINAR FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; TURBULENT FLOW;

EID: 0030251066     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0363(19961030)23:8<787::aid-fld452>3.0.co;2-4     Document Type: Article
Times cited : (26)

References (32)
  • 1
    • 0016333399 scopus 로고
    • Navier-Stokes equations using mixed interpolation
    • J. T. Oden et al. (eds), UAH Press, Huntsville, AL
    • P. Hood and C. Taylor, 'Navier-Stokes equations using mixed interpolation', in J. T. Oden et al. (eds), Finite Element Methods in Flow Problems, UAH Press, Huntsville, AL, 1974, pp. 121-132.
    • (1974) Finite Element Methods in Flow Problems , pp. 121-132
    • Hood, P.1    Taylor, C.2
  • 3
    • 0022810283 scopus 로고
    • A new finite element formulation for computational fluid dynamics: V. Circumventing the Babǔska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problems accommodating equal-order interpolations
    • T. J. R. Hughes, L. P. Franca and M. Balastra, 'A new finite element formulation for computational fluid dynamics: V. Circumventing the Babǔska-Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problems accommodating equal-order interpolations', Comput. Methods Appl. Mech. Eng., 59, 85-99 (1986).
    • (1986) Comput. Methods Appl. Mech. Eng. , vol.59 , pp. 85-99
    • Hughes, T.J.R.1    Franca, L.P.2    Balastra, M.3
  • 4
    • 0019353782 scopus 로고
    • The cause and cure(?) of the spurious pressure generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part I
    • R. L. Sani, P. M. Gresho, R. L. Lee and D. F. Griffiths, 'The cause and cure(?) of the spurious pressure generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part I', Int. j. numer. methods fluids, 1, 17-43 (1981).
    • (1981) Int. J. Numer. Methods Fluids , vol.1 , pp. 17-43
    • Sani, R.L.1    Gresho, P.M.2    Lee, R.L.3    Griffiths, D.F.4
  • 5
    • 0019360167 scopus 로고
    • The cause and cure(!) of the spurious pressure generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part II
    • R. L. Sani, P. M. Gresho, R. L. Lee, D. F. Griffiths and M. Engleman, 'The cause and cure(!) of the spurious pressure generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part II', Int. j. numer. methods fluids, 1, 171-204 (1981).
    • (1981) Int. J. Numer. Methods Fluids , vol.1 , pp. 171-204
    • Sani, R.L.1    Gresho, P.M.2    Lee, R.L.3    Griffiths, D.F.4    Engleman, M.5
  • 6
    • 0000561534 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A. J. Chorin, 'Numerical solution of the Navier-Stokes equations', Math. Comput., 23, 341-354 (1968).
    • (1968) Math. Comput. , vol.23 , pp. 341-354
    • Chorin, A.J.1
  • 7
    • 0018153282 scopus 로고
    • Finite element analysis of incompressible fluid flow incorporating equal order pressure and velocity interpolation
    • C. Taylor, K. Morgan and C. A. Brebbia (eds), Pentech
    • G. E. Schneider, G. D. Raithby and M. M. Yovanovich, 'Finite element analysis of incompressible fluid flow incorporating equal order pressure and velocity interpolation', in C. Taylor, K. Morgan and C. A. Brebbia (eds), Numerical Methods in Laminar and Turbulent Flow, Pentech, 1978.
    • (1978) Numerical Methods in Laminar and Turbulent Flow
    • Schneider, G.E.1    Raithby, G.D.2    Yovanovich, M.M.3
  • 8
    • 0022153145 scopus 로고
    • Finite element analysis of density flow using the velocity correction method
    • M. Kawahara and K. Ohmiya, 'Finite element analysis of density flow using the velocity correction method', Int. j. numer. methods fluids, 5, 308-323 (1985).
    • (1985) Int. J. Numer. Methods Fluids , vol.5 , pp. 308-323
    • Kawahara, M.1    Ohmiya, K.2
  • 9
    • 0023847099 scopus 로고
    • Finite element solution for advection and natural convection flows
    • B. Ramaswamy, 'Finite element solution for advection and natural convection flows', Comput. Fluids, 16, 349-388 (1988).
    • (1988) Comput. Fluids , vol.16 , pp. 349-388
    • Ramaswamy, B.1
  • 10
    • 0026906198 scopus 로고
    • A general explicit or semi-explicit algorithm for compressible or incompressible flows
    • O. C. Zienkiewicz and J. Wu, 'A general explicit or semi-explicit algorithm for compressible or incompressible flows', Int. j. numer. methods eng., 35, 457-459 (1992).
    • (1992) Int. J. Numer. Methods Eng. , vol.35 , pp. 457-459
    • Zienkiewicz, O.C.1    Wu, J.2
  • 11
    • 0026239793 scopus 로고
    • Incompressibility without tears - How to avoid the restrictions on mixed formulation
    • O. C. Zienkiewicz and J. Wu, 'Incompressibility without tears - how to avoid the restrictions on mixed formulation', Int. j. numer. methods eng., 32, 1189-1203 (1991).
    • (1991) Int. J. Numer. Methods Eng. , vol.32 , pp. 1189-1203
    • Zienkiewicz, O.C.1    Wu, J.2
  • 12
    • 0019575119 scopus 로고
    • Don't suppress wiggles - They are telling you something
    • P. Gresho and R. L. Lee, 'Don't suppress wiggles - they are telling you something', Comput. Fluids, 9, 223-253 (1981).
    • (1981) Comput. Fluids , vol.9 , pp. 223-253
    • Gresho, P.1    Lee, R.L.2
  • 13
    • 0017220171 scopus 로고
    • Finite element methods for second-order differential equations with significant first-order derivatives
    • I. Christie, D. F. Griffiths, A. R. Mitchell and O. C. Zienkiewicz, 'Finite element methods for second-order differential equations with significant first-order derivatives', Int. j. numer. methods eng., 10, 1389-1396 (1976).
    • (1976) Int. J. Numer. Methods Eng. , vol.10 , pp. 1389-1396
    • Christie, I.1    Griffiths, D.F.2    Mitchell, A.R.3    Zienkiewicz, O.C.4
  • 15
    • 0013724411 scopus 로고
    • A multi-dimensional upwind scheme with no cross wind diffusion
    • T. J. R. Hughes (ed.), AMD ASME, New York
    • T. J. R. Hughes and A. N. Brooks, 'A multi-dimensional upwind scheme with no cross wind diffusion', in T. J. R. Hughes (ed.), Finite Elements for Convection Dominated Flows, AMD Vol. 34, ASME, New York, 1979.
    • (1979) Finite Elements for Convection Dominated Flows , vol.34
    • Hughes, T.J.R.1    Brooks, A.N.2
  • 16
    • 0019080468 scopus 로고
    • A note on anisotropic balancing dissipation in finite element method approximation to convection diffusion problems
    • D. N. Kelly, S. Nakazawa, O. C. Zienkiewicz and J. C. Heinrich, 'A note on anisotropic balancing dissipation in finite element method approximation to convection diffusion problems', Int. j. numer. methods eng., 15, 1705-1711 (1980).
    • (1980) Int. J. Numer. Methods Eng. , vol.15 , pp. 1705-1711
    • Kelly, D.N.1    Nakazawa, S.2    Zienkiewicz, O.C.3    Heinrich, J.C.4
  • 18
    • 0021518595 scopus 로고
    • The solution of non- Linear hyperbolic equation systems by the finite element method
    • R. Lohner, K. Morgan and O. C. Zienkiewicz, 'The solution of non- linear hyperbolic equation systems by the finite element method', Int. j. numer. methods fluids, 4, 1043-1063 (1984).
    • (1984) Int. J. Numer. Methods Fluids , vol.4 , pp. 1043-1063
    • Lohner, R.1    Morgan, K.2    Zienkiewicz, O.C.3
  • 19
    • 0029104589 scopus 로고
    • A general algorithm for compressible and incompressible flow, Part I: The split, characteristic-based scheme
    • O. C. Zienkiewicz and R. Codina, 'A general algorithm for compressible and incompressible flow, Part I: The split, characteristic-based scheme', Int. j. numer. methods fluids, 20, 869-885 (1995).
    • (1995) Int. J. Numer. Methods Fluids , vol.20 , pp. 869-885
    • Zienkiewicz, O.C.1    Codina, R.2
  • 22
    • 0014886792 scopus 로고
    • Some solutions of plane turbulent impinging jets
    • M. Wolfstein, 'Some solutions of plane turbulent impinging jets', ASME J. Basic Eng., 92, 915-922 (1970).
    • (1970) ASME J. Basic Eng. , vol.92 , pp. 915-922
    • Wolfstein, M.1
  • 23
    • 0019614096 scopus 로고
    • A modified form of κ-ε model for predicting wall turbulence
    • C. K. G. Lam and K. Bermhorst, 'A modified form of κ-ε model for predicting wall turbulence', J. Fluids Eng., 103, 456-460 (1981).
    • (1981) J. Fluids Eng. , vol.103 , pp. 456-460
    • Lam, C.K.G.1    Bermhorst, K.2
  • 25
    • 0000861390 scopus 로고
    • Laminar flow over a downstream- facing step in a two-dimensional flow channel
    • M. K. Denham and M. A. Patrick, 'Laminar flow over a downstream- facing step in a two-dimensional flow channel', Trans. Inst. Chem. Eng., 52(4), 361-367 (1974).
    • (1974) Trans. Inst. Chem. Eng. , vol.52 , Issue.4 , pp. 361-367
    • Denham, M.K.1    Patrick, M.A.2
  • 27
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multi-grid
    • U. Ghia, K. N. Ghia and C. T. Shin, 'High-Re solutions for incompressible flow using the Navier-Stokes equations and a multi-grid', J. Comput. Phys., 48, 387-411 (1982).
    • (1982) J. Comput. Phys. , vol.48 , pp. 387-411
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 28
    • 0024163443 scopus 로고
    • Evaluation of FIDAP on some classical laminar and turbulent benchmarks
    • J. L. Sohn, 'Evaluation of FIDAP on some classical laminar and turbulent benchmarks', Int. j. numer. methods fluids, 8, 1469-1490 (1988).
    • (1988) Int. J. Numer. Methods Fluids , vol.8 , pp. 1469-1490
    • Sohn, J.L.1
  • 30
    • 0023524423 scopus 로고
    • Finite element computation of a turbulent flow over a two-dimensional backward-facing step
    • A. Autret, M. Grandotto and I. Dekeyser, 'Finite element computation of a turbulent flow over a two-dimensional backward-facing step', Int. j. numer. methods fluids, 7, 89-102 (1987).
    • (1987) Int. J. Numer. Methods Fluids , vol.7 , pp. 89-102
    • Autret, A.1    Grandotto, M.2    Dekeyser, I.3
  • 31
    • 0016447374 scopus 로고
    • A directionally sensitive laser anemometer for velocity measurements in highly turbulent flow
    • M. K. Denham, P. Briard and M. A. Patrick, 'A directionally sensitive laser anemometer for velocity measurements in highly turbulent flow', J. Phys. E: Sci. Instrum., 8, 681-683 (1975).
    • (1975) J. Phys. E: Sci. Instrum. , vol.8 , pp. 681-683
    • Denham, M.K.1    Briard, P.2    Patrick, M.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.