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Volumn 7, Issue 2, 1998, Pages 119-130

Stability-controllable second-order difference scheme for convection term

Author keywords

Convective stability; Grid Peclet number; SCSD scheme; Wavenumber

Indexed keywords


EID: 0011115105     PISSN: 10032169     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11630-998-0008-y     Document Type: Article
Times cited : (22)

References (19)
  • 1
    • 0021565797 scopus 로고
    • Numerical heat transfer
    • Washington, D.C.
    • Shih, T.M., «Numerical Heat Transfer», Hemisphere, Washington, D.C., P.518, (1984).
    • (1984) Hemisphere , pp. 518
    • Shih, T.M.1
  • 2
    • 0024165638 scopus 로고
    • Curvature compensated transport smart, a new boundedness preserving transport algorithm
    • Gaskell, P.H., & Lau, A.K.C., "Curvature Compensated Transport SMART, A New Boundedness Preserving Transport Algorithm," Int. J. Numer. Methods in Fluids, 8, (1988).
    • (1988) Int. J. Numer. Methods in Fluids , vol.8
    • Gaskell, P.H.1    Lau, A.K.C.2
  • 3
    • 0003500930 scopus 로고
    • Numerical heat transfer
    • Wuchizton, P.C.
    • Patankar, S.V.,« Numerical Heat Transfer», Hemisphere, Wuchizton, P.C., (1980).
    • (1980) Hemisphere
    • Patankar, S.V.1
  • 4
    • 0003537973 scopus 로고
    • Computation fluid dynamics
    • Albuquerque N.U.
    • Roach, P.J.,«Computation Fluid Dynamics», Hermosa, Albuquerque N.U., (1972).
    • (1972) Hermosa
    • Roach, P.J.1
  • 5
    • 0018480361 scopus 로고
    • A stable and accurate convective modelling procedure based on quadratic upstream interpolation
    • Leonard, B.P., "A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation," Computation Methods Appl. Mech. Eng., 119, pp. 59-98, (1979).
    • (1979) Computation Methods Appl. Mech. Eng. , vol.119 , pp. 59-98
    • Leonard, B.P.1
  • 6
    • 0019371465 scopus 로고
    • A survey of finite difference with up-winding for numerical modeling of the incompressible convective-diffusion equation
    • Edited by C. Taylor, K. Morgan, Pineridge Press, Limited, Swan- son, U.K.
    • Leonard, B.P., "A Survey of Finite Difference with Up-winding for Numerical Modeling of the Incompressible Convective-Diffusion Equation," In: « Computational Equation in Transient and Turbulent Flow», Edited by C. Taylor, K. Morgan, Pineridge Press, Limited, Swan- son, U.K., PP.1-35, (1981).
    • (1981) Computational Equation in Transient and Turbulent Flow , pp. 1-35
    • Leonard, B.P.1
  • 7
    • 0000937181 scopus 로고
    • A consistently formulated quick scheme for fast and stable convergence using finite-volume iteration calculation procedure
    • Hayase, T., Humpbery, J.A.C. and Greit, R., "A Consistently Formulated QUICK Scheme for Fast and Stable Convergence Using Finite-Volume Iteration Calculation Procedure," J. Computation Physics, 98, pp.108-118, (1992).
    • (1992) J. Computation Physics , vol.98 , pp. 108-118
    • Hayase, T.1    Humpbery, J.A.C.2    Greit, R.3
  • 8
    • 0023169449 scopus 로고
    • The transporative property and convective numerical stability of steady state convective-diffusion finite difference equation
    • Tao, W.Q. and Sparrow, E.M., "The Transporative Property and Convective Numerical Stability of Steady State Convective-Diffusion Finite Difference Equation," Numer. Heat Transfer, 11, pp.491-497, (1987).
    • (1987) Numer. Heat Transfer , vol.11 , pp. 491-497
    • Tao, W.Q.1    Sparrow, E.M.2
  • 9
    • 0003534171 scopus 로고
    • Xi'an Jiao-tong University Press
    • Tao, W.Q., «Numerical Heat Transfer», Xi'an Jiao- tong University Press, (1988).
    • (1988) Numerical Heat Transfer
    • Tao, W.Q.1
  • 10
    • 0031570254 scopus 로고    scopus 로고
    • Wavenumber-extented high-order upwind-biased finite-difference schemes for convective scalar transport
    • Li, Y., "Wavenumber-Extented High-Order Upwind-Biased Finite-Difference Schemes for Convective Scalar Transport," J. Comput. Phys., 133, (1997).
    • (1997) J. Comput. Phys. , vol.133
    • Li, Y.1
  • 11
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • Lele, S.K., "Compact Finite Difference Schemes with Spectral-like Resolution," J. Comput. Phys., 103 (1992).
    • (1992) J. Comput. Phys. , vol.103
    • Lele, S.K.1
  • 12
    • 19644369292 scopus 로고
    • Dispersion-relative preserving finite difference schemes for computational acoustics
    • Tam, C.K.W., Webb, J.C., "Dispersion-Relative Preserving Finite Difference Schemes for Computational Acoustics," J. Comput. Phys., 107, (1993).
    • (1993) J. Comput. Phys. , vol.107
    • Tam, C.K.W.1    Webb, J.C.2
  • 13
    • 0022866102 scopus 로고
    • Implicit solution methods in computational fluid dynamics
    • PuIIium, T.H., "Implicit Solution Methods in Computational Fluid Dynamics," Appl. Numerical Math., 2, pp.441-474, (1986).
    • (1986) Appl. Numerical Math. , vol.2 , pp. 441-474
    • Puiiium, T.H.1
  • 14
    • 49049151571 scopus 로고
    • Flux splitting of the inviscid gasdynamic equations with application to finite difference methods
    • Steger, J.L. and Warming, R.F., "Flux Splitting of the Inviscid Gasdynamic Equations with Application to Finite Difference Methods," J. Comput. Phys., 40, pp.263-293, (1981).
    • (1981) J. Comput. Phys. , vol.40 , pp. 263-293
    • Steger, J.L.1    Warming, R.F.2
  • 15
    • 0003321934 scopus 로고
    • Flux splitting for the euler equations
    • Sept.
    • Van Leer, B., "Flux Splitting for the Euler Equations," ICASE Rept., 82-130, Sept., (1982).
    • (1982) ICASE Rept. , pp. 82-130
    • Van Leer, B.1
  • 16
    • 71149120986 scopus 로고
    • Study of 2-stage explicit schemes for unsteady convective-diffusion equations
    • Gu Lizhen, "Study of 2-Stage Explicit Schemes for Unsteady Convective-Diffusion Equations," J. Tsinghua University (Science), 34, No.3, (1994).
    • (1994) J. Tsinghua University (Science) , vol.34 , Issue.3
    • Lizhen, G.1
  • 17
    • 0021229075 scopus 로고
    • The stability of explicit euler time-integration for convection finite difference approximations of the multi-dimensional advection-diffusion equation
    • Hindmarsh, A.C., Gresho, P.M., and Griffiths D.F., "The Stability of Explicit Euler Time-Integration for Convection Finite Difference Approximations of the Multi-Dimensional Advection-Diffusion Equation," Int. J. Numer. Methods in Fluids, 4, pp.853-897, (1984).
    • (1984) Int. J. Numer. Methods in Fluids , vol.4 , pp. 853-897
    • Hindmarsh, A.C.1    Gresho, P.M.2    Griffiths, D.F.3
  • 18
    • 0020195163 scopus 로고
    • The numerical treatment of advection: A performance comparison of current methods
    • Smith, R.M., and Hutton, A.G, "The Numerical Treatment of Advection: A Performance Comparison of Current Methods, Numerical Heat Transfer," 5, (1982).
    • (1982) Numerical Heat Transfer , vol.5
    • Smith, R.M.1    Hutton, A.G.2
  • 19
    • 0027677410 scopus 로고
    • A new high-resolution scheme based on the normalized variable formulation
    • Darvish, M.S., "A New High-Resolution Scheme Based on the Normalized Variable Formulation," Numer. Heat Transfer, Part B., 24, pp.353-371, (1993).
    • (1993) Numer. Heat Transfer, Part B. , vol.24 , pp. 353-371
    • Darvish, M.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.