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Volumn 41, Issue 1, 2003, Pages 47-75

A convergent and universally bounded interpolation scheme for the treatment of advection

Author keywords

Boundedness; CUBISTA; High resolution scheme (HRS); Iterative convergence; TVD property; Viscoelastic fluids

Indexed keywords

CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; INTERPOLATION; ITERATIVE METHODS; VISCOELASTICITY;

EID: 0037428347     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.428     Document Type: Article
Times cited : (341)

References (30)
  • 1
    • 0029106179 scopus 로고
    • Why you should not use 'hybrid' 'power-law' or related exponential schemes for convective modelling - There are much better alternatives
    • Leonard BP. Why you should not use 'hybrid' 'power-law' or related exponential schemes for convective modelling-there are much better alternatives. International Journal for Numerical Methods in Fluids 1995; 20:421-442.
    • (1995) International Journal for Numerical Methods in Fluids , vol.20 , pp. 421-442
    • Leonard, B.P.1
  • 3
    • 0015368687 scopus 로고
    • A novel finite-difference formulation for differential expressions involving both first and second derivatives
    • Spalding DB. A novel finite-difference formulation for differential expressions involving both first and second derivatives. International Journal for Numerical Methods in Engineering 1972; 4:551-559.
    • (1972) International Journal for Numerical Methods in Engineering , vol.4 , pp. 551-559
    • Spalding, D.B.1
  • 4
    • 0026850951 scopus 로고
    • Second-order upwind and central difference schemes for recirculating flow computation
    • Shyy W, Thakur S, Wright J. Second-order upwind and central difference schemes for recirculating flow computation. AIAA Journal 1992; 30:923-932.
    • (1992) AIAA Journal , vol.30 , pp. 923-932
    • Shyy, W.1    Thakur, S.2    Wright, J.3
  • 5
    • 0018480361 scopus 로고
    • A stable and accurate convective modelling procedure based on quadratic interpolation
    • Leonard BP. A stable and accurate convective modelling procedure based on quadratic interpolation. Computer Methods in Applied Mechanics and Engineering 1979; 19:59-98.
    • (1979) Computer Methods in Applied Mechanics and Engineering , vol.19 , pp. 59-98
    • Leonard, B.P.1
  • 6
    • 0000937181 scopus 로고
    • A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures
    • Hayase T, Humphrey JAC, Greif R. A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures. Journal of Computational Physics 1992; 98:108-118.
    • (1992) Journal of Computational Physics , vol.98 , pp. 108-118
    • Hayase, T.1    Humphrey, J.A.C.2    Greif, R.3
  • 7
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. Journal of Computational Physics 1983; 49:357-393.
    • (1983) Journal of Computational Physics , vol.49 , pp. 357-393
    • Harten, A.1
  • 8
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for hyperbolic conservation laws
    • Sweby PK. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM Journal on Numerical Analysis 1984; 21:995-1011.
    • (1984) SIAM Journal on Numerical Analysis , vol.21 , pp. 995-1011
    • Sweby, P.K.1
  • 9
    • 34249988639 scopus 로고
    • Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
    • Van Leer B. Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme. Journal of Computational Physics 1974; 14:361-370.
    • (1974) Journal of Computational Physics , vol.14 , pp. 361-370
    • Van Leer, B.1
  • 10
    • 0024165638 scopus 로고
    • Curvature compensated convective transport: SMART, a new boundedness preserving transport algorithm
    • Gaskell PH, Lau AKC. Curvature compensated convective transport: SMART, a new boundedness preserving transport algorithm. International Journal for Numerical Methods in Fluids 1988; 8:617-641.
    • (1988) International Journal for Numerical Methods in Fluids , vol.8 , pp. 617-641
    • Gaskell, P.H.1    Lau, A.K.C.2
  • 11
    • 0024099483 scopus 로고
    • Simple high-accuracy resolution program for convective modelling of discontinuities
    • Leonard BP. Simple high-accuracy resolution program for convective modelling of discontinuities. International Journal for Numerical Methods in Fluids 1988; 8:1291-1318.
    • (1988) International Journal for Numerical Methods in Fluids , vol.8 , pp. 1291-1318
    • Leonard, B.P.1
  • 12
    • 0026173702 scopus 로고
    • The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
    • Leonard BP. The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection. Computer Methods in Applied Mechanics and Engineering 1991; 88:17-74.
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.88 , pp. 17-74
    • Leonard, B.P.1
  • 13
    • 0001774318 scopus 로고    scopus 로고
    • Bounded higher-order upwind multidimensional finite-volume convection-diffusion algorithms
    • Minkowycz WJ, Sparrow EM (eds), Taylor and Francis: London
    • Leonard BP. Bounded higher-order upwind multidimensional finite-volume convection-diffusion algorithms. In Advances in Numerical Heat Transfer, Minkowycz WJ, Sparrow EM (eds), vol. 1. Taylor and Francis: London, 1996; 1-57.
    • (1996) Advances in Numerical Heat Transfer , vol.1 , pp. 1-57
    • Leonard, B.P.1
  • 14
    • 0028467986 scopus 로고
    • Normalized variable and space formulation methodology for high-resolution schemes
    • Darwish MS, Moukalled F. Normalized variable and space formulation methodology for high-resolution schemes. Numerical Heat Transfer, Part B 1994; 26:79-96.
    • (1994) Numerical Heat Transfer , vol.26 , Issue.PART B , pp. 79-96
    • Darwish, M.S.1    Moukalled, F.2
  • 15
    • 0034307761 scopus 로고    scopus 로고
    • Effect of a high-resolution differencing scheme on finite-volume predictions of viscoelastic flows
    • Alves MA, Pinho FT, Oliveira PJ. Effect of a high-resolution differencing scheme on finite-volume predictions of viscoelastic flows. Journal of Non-Newtonian Fluid Mechanics 2000; 93:287-314.
    • (2000) Journal of Non-Newtonian Fluid Mechanics , vol.93 , pp. 287-314
    • Alves, M.A.1    Pinho, F.T.2    Oliveira, P.J.3
  • 16
    • 0035961193 scopus 로고    scopus 로고
    • The flow of viscoelastic fluids past a cylinder: Finite-volume high-resolution methods
    • Alves MA, Pinho FT, Oliveira PJ. The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods. Journal of Non-Newtonian Fluid Mechanics 2001; 97:207-232.
    • (2001) Journal of Non-Newtonian Fluid Mechanics , vol.97 , pp. 207-232
    • Alves, M.A.1    Pinho, F.T.2    Oliveira, P.J.3
  • 17
    • 20544434305 scopus 로고
    • On the higher-order bounded discretization schemes for finite volume computations of incompressible flows
    • Zhu J. On the higher-order bounded discretization schemes for finite volume computations of incompressible flows. Computer Methods in Applied Mechanics and Engineering 1992; 98:345-360.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.98 , pp. 345-360
    • Zhu, J.1
  • 22
    • 0032216113 scopus 로고    scopus 로고
    • Mixed finite element methods for viscoelastic flow analysis: A review
    • Baaijens FPT. Mixed finite element methods for viscoelastic flow analysis: a review. Journal of Non-Newtonian Fluid Mechanics 1998; 79:361-385.
    • (1998) Journal of Non-Newtonian Fluid Mechanics , vol.79 , pp. 361-385
    • Baaijens, F.P.T.1
  • 23
    • 0032168593 scopus 로고    scopus 로고
    • Numerical simulation of non-linear elastic flows with a general collocated finite-volume method
    • Oliveira PJ, Pinho FT, Pinto GA. Numerical simulation of non-linear elastic flows with a general collocated finite-volume method. Journal of Non-Newtonian Fluid Mechanics 1998; 79:1-43.
    • (1998) Journal of Non-Newtonian Fluid Mechanics , vol.79 , pp. 1-43
    • Oliveira, P.J.1    Pinho, F.T.2    Pinto, G.A.3
  • 24
    • 0345805082 scopus 로고
    • A diagonally dominant second-order accurate implicit scheme
    • Khosla PK, Rubin SG. A diagonally dominant second-order accurate implicit scheme. Computers and Fluids 1974; 2:207-209.
    • (1974) Computers and Fluids , vol.2 , pp. 207-209
    • Khosla, P.K.1    Rubin, S.G.2
  • 25
    • 0030234915 scopus 로고    scopus 로고
    • The normalized weighting factor method: A novel technique for accelerating the convergence of high-resolution convective schemes
    • Darwish MS, Moukalled F. The normalized weighting factor method: a novel technique for accelerating the convergence of high-resolution convective schemes. Numerical Heat Transfer, Part B 1996; 30:217-237.
    • (1996) Numerical Heat Transfer , vol.30 , Issue.PART B , pp. 217-237
    • Darwish, M.S.1    Moukalled, F.2
  • 29
    • 0035977811 scopus 로고    scopus 로고
    • A cell-vertex finite volume/element method on triangles for abrupt contraction viscoelastic flows
    • Aboubacar M, Webster MF. A cell-vertex finite volume/element method on triangles for abrupt contraction viscoelastic flows. Journal of Non-Newtonian Fluid Mechanics 2001; 98:83-106.
    • (2001) Journal of Non-Newtonian Fluid Mechanics , vol.98 , pp. 83-106
    • Aboubacar, M.1    Webster, M.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.