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Volumn 25, Issue 10, 1997, Pages 1119-1135

Fourth-order method for solving the Navier-Stokes equations in a constricting channel

Author keywords

Fourth order methods; Navier Stokes equations

Indexed keywords

BOUNDARY CONDITIONS; CHANNEL FLOW; ERROR ANALYSIS; ITERATIVE METHODS; NAVIER STOKES EQUATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING; REYNOLDS NUMBER; VORTEX FLOW;

EID: 0031277562     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0363(19971130)25:10<1119::aid-fld610>3.0.co;2-4     Document Type: Article
Times cited : (13)

References (22)
  • 1
    • 0002018281 scopus 로고
    • A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
    • W. D. Henshaw, 'A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids', J. Comput. Phys., 113, 13-25 (1994).
    • (1994) J. Comput. Phys. , vol.113 , pp. 13-25
    • Henshaw, W.D.1
  • 2
    • 0028436703 scopus 로고
    • A fourth-order-accurate difference approximation for the incompressible Navier-Stokes equations
    • W. D. Henshaw, H.-O. Kreiss and L. G. M. Reyna, 'A fourth-order-accurate difference approximation for the incompressible Navier-Stokes equations', Comput. Fluids, 23, 575-593 (1994).
    • (1994) Comput. Fluids , vol.23 , pp. 575-593
    • Henshaw, W.D.1    Kreiss, H.-O.2    Reyna, L.G.M.3
  • 4
    • 0000468321 scopus 로고
    • 4 finite difference approximations to operators of Navier-Stokes type
    • 4 finite difference approximations to operators of Navier-Stokes type', J. Comput. Phys., 85, 390-416 (1989).
    • (1989) J. Comput. Phys. , vol.85 , pp. 390-416
    • Dennis, S.C.R.1    Hudson, J.D.2
  • 5
    • 6244262079 scopus 로고
    • A fourth order finite difference scheme for two-dimensional elliptic equations
    • R. S. Stepleman et al. (eds), North-Holland, Amsterdam
    • M. M. Gupta, 'A fourth order finite difference scheme for two-dimensional elliptic equations', in R. S. Stepleman et al. (eds), Scientific Computing, North-Holland, Amsterdam, 1983, pp. 149-154.
    • (1983) Scientific Computing , pp. 149-154
    • Gupta, M.M.1
  • 6
    • 0000292881 scopus 로고
    • A fourth order Poisson solver
    • M. M. Gupta, 'A fourth order Poisson solver', J. Comput. Phys., 55, 166-172 (1984).
    • (1984) J. Comput. Phys. , vol.55 , pp. 166-172
    • Gupta, M.M.1
  • 7
    • 0021207821 scopus 로고
    • A single cell high order difference scheme for the convection diffusion equation with variable coefficients
    • M. M. Gupta, R. Manohar and J. W. Stephenson, 'A single cell high order difference scheme for the convection diffusion equation with variable coefficients', Int. j. numer. methods fluids, 4, 641-651 (1984).
    • (1984) Int. J. Numer. Methods Fluids , vol.4 , pp. 641-651
    • Gupta, M.M.1    Manohar, R.2    Stephenson, J.W.3
  • 9
    • 0042369067 scopus 로고
    • A compact fourth order finite difference scheme for the steady incompressible Navier-Stokes equations
    • Department of Mathematics and Statistics, Simon Fraser University
    • M. Li, T. Tang and B. Fornberg, 'A compact fourth order finite difference scheme for the steady incompressible Navier-Stokes equations', Res. Rep. 93-10, Department of Mathematics and Statistics, Simon Fraser University, 1993.
    • (1993) Res. Rep. 93-10
    • Li, M.1    Tang, T.2    Fornberg, B.3
  • 10
    • 77952889884 scopus 로고
    • Viscous and resistive eddies near a sharp comer
    • M. K. Moffat, 'Viscous and resistive eddies near a sharp comer', J. Fluid Mech., 18, 1-59 (1964).
    • (1964) J. Fluid Mech. , vol.18 , pp. 1-59
    • Moffat, M.K.1
  • 11
    • 0019056877 scopus 로고
    • Steady flow through a channel with a symmetrical constriction in the form of a step
    • S. C. R. Dennis and F. T. Smith, 'Steady flow through a channel with a symmetrical constriction in the form of a step', Proc. R. Soc. Lond. A, 372, 393-414 (1980).
    • (1980) Proc. R. Soc. Lond. A , vol.372 , pp. 393-414
    • Dennis, S.C.R.1    Smith, F.T.2
  • 12
    • 6244271489 scopus 로고
    • A finite difference method for flow in a constricted channel
    • University of British Columbia
    • H. Huang and B. R. Seymour, 'A finite difference method for flow in a constricted channel', Tech. Rep. 93-167, University of British Columbia, 1993.
    • (1993) Tech. Rep. 93-167
    • Huang, H.1    Seymour, B.R.2
  • 13
    • 0025456536 scopus 로고
    • The numerical solution of the laminar flow in a constricted channel at moderately high Reynolds number using Newton iteration
    • R. Hunt, 'The numerical solution of the laminar flow in a constricted channel at moderately high Reynolds number using Newton iteration', Int. j. numer. methods fluids, 11, 247-259 (1990).
    • (1990) Int. J. Numer. Methods Fluids , vol.11 , pp. 247-259
    • Hunt, R.1
  • 14
    • 38249025510 scopus 로고
    • Chebyshev spectral collocation methods for laminar flow through a channel contraction
    • A. Karageorghis and T. N. Phillips, 'Chebyshev spectral collocation methods for laminar flow through a channel contraction', J. Comput. Physics, 84, 114-133 (1989).
    • (1989) J. Comput. Physics , vol.84 , pp. 114-133
    • Karageorghis, A.1    Phillips, T.N.2
  • 15
    • 6244240364 scopus 로고    scopus 로고
    • Henshaw's fourth order boundary condition
    • University of Strathclyde
    • R. Hunt, 'Henshaw's fourth order boundary condition', Tech. Rep., University of Strathclyde, 1996.
    • (1996) Tech. Rep.
    • Hunt, R.1
  • 16
    • 0019025813 scopus 로고
    • A numerical study of steady viscous flow past a circular cylinder
    • B. Fornberg, 'A numerical study of steady viscous flow past a circular cylinder', J. Fluid Mech., 48, 819-855 (1980).
    • (1980) J. Fluid Mech. , vol.48 , pp. 819-855
    • Fornberg, B.1
  • 17
    • 0000570725 scopus 로고
    • Steady viscous flow past a circular cylinder up to Reynolds number 600
    • B. Fornberg, 'Steady viscous flow past a circular cylinder up to Reynolds number 600', J. Comput. Phys., 61, 297-320 (1985).
    • (1985) J. Comput. Phys. , vol.61 , pp. 297-320
    • Fornberg, B.1
  • 18
    • 84974307230 scopus 로고
    • Steady viscous flow past a sphere at high Reynolds numbers
    • B. Fornberg, 'Steady viscous flow past a sphere at high Reynolds numbers', J. Fluid Mech., 190, 471-489 (1988).
    • (1988) J. Fluid Mech. , vol.190 , pp. 471-489
    • Fornberg, B.1
  • 19
    • 0026140267 scopus 로고
    • Steady incompressible flow past a row of circular cylinders
    • B. Fornberg, 'Steady incompressible flow past a row of circular cylinders', J. Fluid Mech., 225, 655-671 (1991).
    • (1991) J. Fluid Mech. , vol.225 , pp. 655-671
    • Fornberg, B.1
  • 20
    • 0027676238 scopus 로고
    • The numerical solution of the flow in a general bifurcating channel at moderately high Reynolds number using boundary-fitted co-ordinates, primitive variables and Newton iteration
    • R. Hunt, 'The numerical solution of the flow in a general bifurcating channel at moderately high Reynolds number using boundary-fitted co-ordinates, primitive variables and Newton iteration', Int. j. numer. methods fluids, 17, 711-729 (1993).
    • (1993) Int. J. Numer. Methods Fluids , vol.17 , pp. 711-729
    • Hunt, R.1
  • 21
    • 49049123295 scopus 로고
    • Driven cavity flows by efficient numerical techniques
    • R. Schreiber and H. B. Keller, 'Driven cavity flows by efficient numerical techniques', J. Comput. Phys., 49, 310-333 (1983).
    • (1983) J. Comput. Phys. , vol.49 , pp. 310-333
    • Schreiber, R.1    Keller, H.B.2
  • 22
    • 0041868147 scopus 로고
    • Newton's method for 2D problems
    • Department of Mathematics, University of Strathclyde
    • R. Hunt, 'Newton's method for 2D problems', Tech. Rep., Department of Mathematics, University of Strathclyde, 1993.
    • (1993) Tech. Rep.
    • Hunt, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.