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Volumn 21, Issue 4, 1999, Pages 1387-1400

Element-by-element parallel computation of incompressible Navier-Stokes equations in three dimensions

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; ITERATIVE METHODS; MATHEMATICAL MODELS; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING; THREE DIMENSIONAL; VISCOUS FLOW;

EID: 0033293065     PISSN: 10648275     EISSN: None     Source Type: None    
DOI: 10.1137/S1064827598335416     Document Type: Article
Times cited : (8)

References (22)
  • 1
    • 0028448323 scopus 로고
    • Numerical solution of the incompressible three-dimensional Navier-Stokes equations
    • V. BABU AND S. A. KORPELA, Numerical solution of the incompressible three-dimensional Navier-Stokes equations, Comput. and Fluids, 23 (1994), pp. 675-691.
    • (1994) Comput. and Fluids , vol.23 , pp. 675-691
    • Babu, V.1    Korpela, S.A.2
  • 2
    • 0002812224 scopus 로고
    • Comparison of fast iterative methods for symmetric system
    • A. BEHIE AND P. A. FORSYTH, Comparison of fast iterative methods for symmetric system, IMA J. Numer. Anal., 3 (1983), pp. 41-63.
    • (1983) IMA J. Numer. Anal. , vol.3 , pp. 41-63
    • Behie, A.1    Forsyth, P.A.2
  • 3
    • 0000698561 scopus 로고
    • Stabilized mixed methods for the Stokes problem
    • F. BREZZI AND J. DOUGLAS, Stabilized mixed methods for the Stokes problem, Numer. Math., 53 (1988), pp. 225-235.
    • (1988) Numer. Math. , vol.53 , pp. 225-235
    • Brezzi, F.1    Douglas, J.2
  • 4
    • 0000005482 scopus 로고
    • BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems
    • H. A. VAN DER VORST, BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 13 (1992), pp. 631-644.
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 631-644
    • Van Der Vorst, H.A.1
  • 6
    • 0000011239 scopus 로고
    • Variational iterative methods for non-symmetric systems of linear equations
    • S. C. EISENSTAT, H. C. ELMAN, AND M. H. SCHULTZ, Variational iterative methods for non-symmetric systems of linear equations, SIAM J. Numer. Anal., 20 (1983), pp. 345-357.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 345-357
    • Eisenstat, S.C.1    Elman, H.C.2    Schultz, M.H.3
  • 7
    • 0002308279 scopus 로고
    • Conjugate gradient methods for indefinite systems
    • Springer, Berlin
    • R. FLETCHER, Conjugate gradient methods for indefinite systems, in Numerical Analysis, Lecture Notes in Math., Springer, Berlin, 1976, pp. 73-89.
    • (1976) Numerical Analysis, Lecture Notes in Math. , pp. 73-89
    • Fletcher, R.1
  • 8
    • 25444452938 scopus 로고
    • QMR: A quasi-minimal residual method for non-Hermitian linear systems
    • R. FREUND AND N. NACHTIGAL, QMR: A quasi-minimal residual method for non-Hermitian linear systems, Numer. Math., 60 (1991), pp. 315-339.
    • (1991) Numer. Math. , vol.60 , pp. 315-339
    • Freund, R.1    Nachtigal, N.2
  • 10
    • 0022797838 scopus 로고
    • On pressure boundary conditions for the incompressible Navier-Stokes equations
    • P. M. GRESHO AND R. L. SANI, On pressure boundary conditions for the incompressible Navier-Stokes equations, Int. J. Numer. Methods Fluids, 7 (1987), pp. 1111-1145.
    • (1987) Int. J. Numer. Methods Fluids , vol.7 , pp. 1111-1145
    • Gresho, P.M.1    Sani, R.L.2
  • 12
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • M. HESTENES AND E. STIEFEL, Methods of conjugate gradients for solving linear systems, J. Research Nat. Bur. Standards, 49 (1952), pp. 409-436.
    • (1952) J. Research Nat. Bur. Standards , vol.49 , pp. 409-436
    • Hestenes, M.1    Stiefel, E.2
  • 13
    • 0000443756 scopus 로고
    • Error bounds for finite element methods
    • I. BABUŠKA, Error bounds for finite element methods, Numer. Math., 16 (1971), pp. 322-333.
    • (1971) Numer. Math. , vol.16 , pp. 322-333
    • Babuška, I.1
  • 15
    • 0002297003 scopus 로고
    • Séparation de courant ĺéconlment laminaire tridimensional
    • R. LEGENDRE, Séparation de courant ĺéconlment laminaire tridimensional, Rech. Aérospat., 54 (1956), pp. 3-8.
    • (1956) Rech. Aérospat. , vol.54 , pp. 3-8
    • Legendre, R.1
  • 17
    • 85040205541 scopus 로고
    • Numerical heat transfer and fluid flow
    • Washington, D.C.
    • S. V. PATANKAR, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, D.C., 1980.
    • (1980) Hemisphere
    • Patankar, S.V.1
  • 18
    • 0000048673 scopus 로고
    • GMRES: A generalized minimum residual algorithm, for solving nonsymmetric linear system
    • Y. SAAD AND M. H. SCHULTZ, GMRES: A generalized minimum residual algorithm, for solving nonsymmetric linear system, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856-569.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-1569
    • Saad, Y.1    Schultz, M.H.2
  • 19
    • 0000349521 scopus 로고
    • A Petrov-Galerkin formulation for incompressible flows at high Reynolds numbers
    • T. W. H. SHEU, S. F. TSAI, AND M. M. T. WANG, A Petrov-Galerkin formulation for incompressible flows at high Reynolds numbers, J. Comput. Fluid Dynamics, 5 (1995), pp. 213-230.
    • (1995) J. Comput. Fluid Dynamics , vol.5 , pp. 213-230
    • Sheu, T.W.H.1    Tsai, S.F.2    Wang, M.M.T.3
  • 20
    • 0029142385 scopus 로고
    • A comparison study on multivariant and univariant finite elements for three dimensional incompressible viscous flows
    • T. W. H. SHEU AND M. M. T. WANG, A comparison study on multivariant and univariant finite elements for three dimensional incompressible viscous flows, Int. J. Numer. Methods Fluids, 21 (1995), pp. 683-696.
    • (1995) Int. J. Numer. Methods Fluids , vol.21 , pp. 683-696
    • Sheu, T.W.H.1    Wang, M.M.T.2
  • 21
    • 0002716979 scopus 로고
    • CGS, A fast Lanczos-type solver for nonsymmetric linear systems
    • P. SONNEVELD, CGS, A fast Lanczos-type solver for nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 10 (1989), pp. 36-52.
    • (1989) SIAM J. Sci. Statist. Comput. , vol.10 , pp. 36-52
    • Sonneveld, P.1
  • 22
    • 0031550802 scopus 로고    scopus 로고
    • An element-by-element BICGSTAB iterative method for three-dimensional steady Navier-Stokes equations
    • M. M. T. WANG AND T. W. H. SHEU, An element-by-element BICGSTAB iterative method for three-dimensional steady Navier-Stokes equations, J. Comput. Appl. Math., 79 (1997), pp. 147-165.
    • (1997) J. Comput. Appl. Math. , vol.79 , pp. 147-165
    • Wang, M.M.T.1    Sheu, T.W.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.