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Volumn 24, Issue 7, 1997, Pages 715-734

High-order-accurate schemes for incompressible viscous flow

Author keywords

Finite difference schemes; GMRES; Incompressible Navier Stokes

Indexed keywords

DIFFERENCE EQUATIONS; FINITE DIFFERENCE METHOD; NAVIER STOKES EQUATIONS;

EID: 0031127796     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0363(19970415)24:7<715::aid-fld513>3.0.co;2-e     Document Type: Article
Times cited : (61)

References (20)
  • 1
    • 28144440222 scopus 로고
    • Direct simulation of turbulent flow using finite difference schemes
    • M. M. Rai and P. Moin, 'Direct simulation of turbulent flow using finite difference schemes', J. Comput. Phys., 96, 15-53 (1991).
    • (1991) J. Comput. Phys. , vol.96 , pp. 15-53
    • Rai, M.M.1    Moin, P.2
  • 2
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • S. K. Lele, 'Compact finite difference schemes with spectral-like resolution', J. Comput. Phys., 103, 16-42 (1992).
    • (1992) J. Comput. Phys. , vol.103 , pp. 16-42
    • Lele, S.K.1
  • 3
    • 46549092989 scopus 로고
    • Application of a fractional-step method to incompressible Navier-Stokes
    • J. Kim and P. Moin, 'Application of a fractional-step method to incompressible Navier-Stokes', J. Comput. Phys., 59, 308-323 (1985).
    • (1985) J. Comput. Phys. , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 4
    • 6044221947 scopus 로고    scopus 로고
    • High-order spatial finite difference formulations for the incompressible Navier-Stokes equations
    • D. Tafti, 'High-order spatial finite difference formulations for the incompressible Navier-Stokes equations', Int. j. numer. methods fluids, in press.
    • Int. j. Numer. Methods Fluids, in Press
    • Tafti, D.1
  • 5
    • 0002615718 scopus 로고
    • An analysis of the fractional step method
    • J. B. Perot, 'An analysis of the fractional step method', J. Comput. Phys., 108, 51-58 (1993).
    • (1993) J. Comput. Phys. , vol.108 , pp. 51-58
    • Perot, J.B.1
  • 6
    • 0027444179 scopus 로고
    • A remark on the projection-3 method
    • J. Shen, 'A remark on the projection-3 method', Int. j. numer. methods fluids, 16, 249-253 (1993).
    • (1993) Int. j. Numer. Methods Fluids , vol.16 , pp. 249-253
    • Shen, J.1
  • 7
    • 0042958022 scopus 로고
    • Steady viscous flows by compact differences in boundary-fitted coordinates
    • X. Aubert and M. Deville, 'Steady viscous flows by compact differences in boundary-fitted coordinates', J. Comput. Phys., 49, 490-522 (1983).
    • (1983) J. Comput. Phys. , vol.49 , pp. 490-522
    • Aubert, X.1    Deville, M.2
  • 8
    • 0002250359 scopus 로고
    • Finite difference methods for the Stokes and Navier-Stokes equations
    • J. C. Strikwerda, 'Finite difference methods for the Stokes and Navier-Stokes equations', SIAM J. Sci. Stat. Comput., 5, 56-68 (1984).
    • (1984) SIAM J. Sci. Stat. Comput. , vol.5 , pp. 56-68
    • Strikwerda, J.C.1
  • 9
    • 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 introduces a nearly consistent mass matrix. Part I: Theory
    • P. M. Gresho, 'On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part I: Theory', Int. j. numer. methods fluids, 11, 587-620 (1990).
    • (1990) Int. j. Numer. Methods Fluids , vol.11 , pp. 587-620
    • Gresho, P.M.1
  • 10
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad and M. H. Schulte, 'GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems', SIAM J. Sci. Stat. Comput. 1, 7, 856-869 (1986).
    • (1986) SIAM J. Sci. Stat. Comput. , vol.1-7 , pp. 856-869
    • Saad, Y.1    Schulte, M.H.2
  • 12
    • 84964538939 scopus 로고
    • Nine point difference solutions for Poisson's equation
    • J. B. Rosser, 'Nine point difference solutions for Poisson's equation', Comput. Math. Appl, 1, 351-360 (1975).
    • (1975) Comput. Math. Appl , vol.1 , pp. 351-360
    • Rosser, J.B.1
  • 13
    • 0042192644 scopus 로고
    • Interior regularity estimates for elliptic systems of difference equations
    • K. Bube and J. Strikwerda, 'Interior regularity estimates for elliptic systems of difference equations'. SIAM J. Numer. Anal, 20, 653-670 (1983).
    • (1983) SIAM J. Numer. Anal , vol.20 , pp. 653-670
    • Bube, K.1    Strikwerda, J.2
  • 17
    • 0007086850 scopus 로고
    • On the instability of the BDF formulas
    • E. Hairer and G. Wanner, 'On the instability of the BDF formulas', SIAM J. Numer. Anal., 20, 1206-1209 (1983).
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 1206-1209
    • Hairer, E.1    Wanner, G.2
  • 19
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A. J. Chorin, 'Numerical solution of the Navier-Stokes equations', Math. Comput., 22, 745-762 (1968).
    • (1968) Math. Comput. , vol.22 , pp. 745-762
    • Chorin, A.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.