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Volumn 23, Issue 11, 2007, Pages 983-1022

Mixed finite element formulation of algorithms for double-diffusive convection in a fluid-saturated porous medium

Author keywords

Consistent splitting method; Double diffusive convection; Finite element; Forchheimer's law; Mixed formulation

Indexed keywords

ALGORITHMS; FINITE ELEMENT METHOD; POROUS MATERIALS; PRESSURE DISTRIBUTION; TEMPERATURE;

EID: 36048998708     PISSN: 10698299     EISSN: 10990887     Source Type: Journal    
DOI: 10.1002/cnm.940     Document Type: Article
Times cited : (6)

References (25)
  • 7
    • 0030131508 scopus 로고    scopus 로고
    • Numerical study of double diffusive natural convection in a porous cavity using the Darcy-Brinkman formulation
    • Goyeau B, Songbe JP, Gobin D. Numerical study of double diffusive natural convection in a porous cavity using the Darcy-Brinkman formulation. International Journal of Heat and Fluid Flow 1996; 39(7):1363-1378.
    • (1996) International Journal of Heat and Fluid Flow , vol.39 , Issue.7 , pp. 1363-1378
    • Goyeau, B.1    Songbe, J.P.2    Gobin, D.3
  • 8
    • 0030245187 scopus 로고    scopus 로고
    • Double-diffusive natural convection in an enclosure filled with fluid-saturated porous medium: A generalized non-Darcy approach
    • Nithiarasu P, Seetharamu KN, Sundararajan T. Double-diffusive natural convection in an enclosure filled with fluid-saturated porous medium: a generalized non-Darcy approach. Numerical Heat Transfer, Part A 1996; 30: 413-426.
    • (1996) Numerical Heat Transfer, Part A , vol.30 , pp. 413-426
    • Nithiarasu, P.1    Seetharamu, K.N.2    Sundararajan, T.3
  • 10
    • 0242679674 scopus 로고    scopus 로고
    • A new class of truly consistent splitting schemes for incompressible flows
    • Guermond JL, Shen J. A new class of truly consistent splitting schemes for incompressible flows. Journal of Computational Physics 2003; 192:262-276.
    • (2003) Journal of Computational Physics , vol.192 , pp. 262-276
    • Guermond, J.L.1    Shen, J.2
  • 11
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes; equations
    • Chorin AJ. Numerical solution of the Navier-Stokes; equations. Mathematics of Computation 1968; 22:745-762.
    • (1968) Mathematics of Computation , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 12
    • 84968483581 scopus 로고
    • On the convergence of discrete approximations to the Navier-Stokes; equations
    • Chorin AJ. On the convergence of discrete approximations to the Navier-Stokes; equations. Mathematics of Computation 1969; 23:341-353.
    • (1969) Mathematics of Computation , vol.23 , pp. 341-353
    • Chorin, A.J.1
  • 13
    • 34250481480 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. (French): I
    • Témam R. Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. (French): I. Archive for Rational Mechanics and Analysis 1969; 32:135-153.
    • (1969) Archive for Rational Mechanics and Analysis , vol.32 , pp. 135-153
    • Témam, R.1
  • 14
    • 0041765520 scopus 로고    scopus 로고
    • Témam Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. (Freneh) II. Archive for Rational Mechanics and Analysis 1969; 33:377-385.
    • Témam Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. (Freneh) II. Archive for Rational Mechanics and Analysis 1969; 33:377-385.
  • 15
    • 67649646329 scopus 로고    scopus 로고
    • Finite element methods for incompressible viscous flow
    • Ciarlet Lions JL eds, North-Holland/Elsevier: Amsterdam
    • Glowinski R. Finite element methods for incompressible viscous flow. In Handbook of Numerical Analysis, Ciarlet PG, Lions JL (eds). North-Holland/Elsevier: Amsterdam, 2003.
    • (2003) Handbook of Numerical Analysis
    • Glowinski, R.1
  • 17
    • 0039042668 scopus 로고
    • Navier-Stokes equations using mixed-interpolation
    • Oden JT, Zienkiewicz OC, Gallagher RH, Taylor C eds, UAH Press: Huntsville
    • Hood P, Taylor C. Navier-Stokes equations using mixed-interpolation. In Finite Element Methods in Flow Problems, Oden JT, Zienkiewicz OC, Gallagher RH, Taylor C (eds). UAH Press: Huntsville, 1974; 57-66.
    • (1974) Finite Element Methods in Flow Problems , pp. 57-66
    • Hood, P.1    Taylor, C.2
  • 20
    • 0002259668 scopus 로고
    • On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations
    • Shen J. On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations. Numerische Mathematik 1992; 62(1):49-73.
    • (1992) Numerische Mathematik , vol.62 , Issue.1 , pp. 49-73
    • Shen, J.1
  • 21
    • 36048989656 scopus 로고    scopus 로고
    • Mixed finite element calculation of two-dimensional double diffusive layered convection using the consistent splitting scheme: Initial conditions for step-like salt concentrations
    • submitted
    • Wong JCF. Mixed finite element calculation of two-dimensional double diffusive layered convection using the consistent splitting scheme: initial conditions for step-like salt concentrations. International Journal for Numerical Methods in Fluids 2005, submitted.
    • (2005) International Journal for Numerical Methods in Fluids
    • Wong, J.C.F.1
  • 22
    • 33646794295 scopus 로고    scopus 로고
    • A split-step scheme for the incompressible Navier-Stokes equations
    • Hafez MM ed, World Scientific Publishing Co, Singapore
    • Henshaw WD, Petersson NA. A split-step scheme for the incompressible Navier-Stokes equations. In Numerical Solutions of Incompressible Flows, Hafez MM (ed.). World Scientific Publishing Co.: Singapore, 2003; 108-125.
    • (2003) Numerical Solutions of Incompressible Flows , pp. 108-125
    • Henshaw, W.D.1    Petersson, N.A.2
  • 23
    • 0021377298 scopus 로고    scopus 로고
    • Jackson CR The effect of the choice of the reference pressure location in numerical modelling of incompressible flow. International Journal for Numerical Methods in Fluids 1984; 4:147-158
    • Jackson CR The effect of the choice of the reference pressure location in numerical modelling of incompressible flow. International Journal for Numerical Methods in Fluids 1984; 4:147-158.
  • 25
    • 0036792876 scopus 로고    scopus 로고
    • Double-diffusive mixed convection in a lid driven enclosure filled with a fluid-saturated porous medium
    • Khanafer K, Vafai K. Double-diffusive mixed convection in a lid driven enclosure filled with a fluid-saturated porous medium. Numerical Heat Transfer Journal 2002; 42:465-486.
    • (2002) Numerical Heat Transfer Journal , vol.42 , pp. 465-486
    • Khanafer, K.1    Vafai, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.