메뉴 건너뛰기




Volumn 25, Issue 9, 1997, Pages 1057-1082

An efficient finite difference technique for computing incompressible viscous flows

Author keywords

Flux limiters; IMM; Non orthogonal grid; TVD

Indexed keywords

COMPUTATIONAL METHODS; FINITE DIFFERENCE METHOD; INTERPOLATION; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER;

EID: 0031277859     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19971115)25:9<1057::AID-FLD605>3.0.CO;2-J     Document Type: Article
Times cited : (9)

References (27)
  • 1
    • 38249028357 scopus 로고
    • Interpolating matrix method: A finite difference method for arbitrary arrangement of mesh points
    • S. Koshizuka, Y. Oka, S. Kondo and Y. Togo, 'Interpolating matrix method: a finite difference method for arbitrary arrangement of mesh points', J. Comput. Phys., 75, 444-468 (1988).
    • (1988) J. Comput. Phys. , vol.75 , pp. 444-468
    • Koshizuka, S.1    Oka, Y.2    Kondo, S.3    Togo, Y.4
  • 2
    • 6044248548 scopus 로고
    • Numerical simulation of viscous flows in complex geometries by the interpolation matrix method
    • Sendai, Japan
    • K. D. Nguyen and H. En-Nefkhaoui, 'Numerical simulation of viscous flows in complex geometries by the interpolation matrix method', Proc. 5th Int. Symp. on Computational Fluid Dynamics, Sendai, Japan, 1993, Vol. 2, pp. 351-356.
    • (1993) Proc. 5th Int. Symp. on Computational Fluid Dynamics , vol.2 , pp. 351-356
    • Nguyen, K.D.1    En-Nefkhaoui, H.2
  • 3
    • 6044247122 scopus 로고
    • Simulation numérique de l'écoulement instationnaire autour d'un cylindre par une méthode TVD-matrices d'interpolation
    • Strasbourg, September
    • L. Hanich, M. Louaked and K. D. Nguyen, 'Simulation numérique de l'écoulement instationnaire autour d'un cylindre par une méthode TVD-matrices d'interpolation', 12me Congr. Fr. de Mécanique, Strasbourg, September 1995, Vol. 2, pp. 153-156.
    • (1995) 12me Congr. Fr. de Mécanique , vol.2 , pp. 153-156
    • Hanich, L.1    Louaked, M.2    Nguyen, K.D.3
  • 5
    • 0344792867 scopus 로고
    • An improved TVD scheme to resolve the Navier-Stokes equations in stream-vorticity formulation by the interpolating matrix method
    • W. H. Hui, Y. K. Kwok and J. R. Chasnov (eds), Hong Kong
    • M. Louaked, L. Hanich and K. D. Nguyen, 'An improved TVD scheme to resolve the Navier-Stokes equations in stream-vorticity formulation by the interpolating matrix method', in W. H. Hui, Y. K. Kwok and J. R. Chasnov (eds), Proc. First Asian Computational Fluid Dynamics Conf., Hong Kong, 1995, Vol. 2, pp. 421-426.
    • (1995) Proc. First Asian Computational Fluid Dynamics Conf. , vol.2 , pp. 421-426
    • Louaked, M.1    Hanich, L.2    Nguyen, K.D.3
  • 6
    • 0039900503 scopus 로고    scopus 로고
    • High resolution of the 2D Navier-Stokes equations by the interpolating matrix method
    • K. W. Morton and M. J. Baines (eds), Oxford Universitys Press, Oxford
    • M. Louaked, L. Hanich and K. D. Nguyen, 'High resolution of the 2D Navier-Stokes equations by the interpolating matrix method', in K. W. Morton and M. J. Baines (eds), Numerical Methods for Fluid Dynamics V, Oxford Universitys Press, Oxford, 1996, pp. 457-464.
    • (1996) Numerical Methods for Fluid Dynamics V , pp. 457-464
    • Louaked, M.1    Hanich, L.2    Nguyen, K.D.3
  • 7
    • 0021381876 scopus 로고
    • On a class of high resolution total variation stable finite difference schemes
    • A. Harten, 'On a class of high resolution total variation stable finite difference schemes', SIAM J. Numer. Anal., 21, 1-23 (1984).
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 1-23
    • Harten, A.1
  • 8
    • 0004185357 scopus 로고
    • TVD finite difference schemes and artificial viscosity
    • F. Davis, 'TVD finite difference schemes and artificial viscosity', ICASE Rep. 84-20, 1984.
    • (1984) ICASE Rep. 84-20
    • Davis, F.1
  • 9
    • 0021513424 scopus 로고
    • High-resolution schemes using flux limiters for hyperbolic conservation laws
    • P. Sweby, 'High-resolution schemes using flux limiters for hyperbolic conservation laws', SIAM J. Numer. Anal., 21, 995-1011 (1984).
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 995-1011
    • Sweby, P.1
  • 11
    • 0019244154 scopus 로고
    • The early stage of development of the wake behind an impulsively started cylinder for 40 < Re < 104
    • R. Bernard and M. Coutanceau, 'The early stage of development of the wake behind an impulsively started cylinder for 40 < Re < 104', J. Fluid Mech., 101, 583 (1980).
    • (1980) J. Fluid Mech. , vol.101 , pp. 583
    • Bernard, R.1    Coutanceau, M.2
  • 12
    • 0019058435 scopus 로고
    • Numerical analysis of unsteady secondary vortices generated by an impulsively started circular cylinder
    • Ta Phuoc Loc, 'Numerical analysis of unsteady secondary vortices generated by an impulsively started circular cylinder', J. Fluid Mech., 100, 111 (1980).
    • (1980) J. Fluid Mech. , vol.100 , pp. 111
    • Loc, T.P.1
  • 13
    • 0022150672 scopus 로고
    • Numerical solution of the early stage of the unsteady viscous flow around a circular cylinder with experimental visualization and measurements
    • Ta Phuoc Loc and R. Bounard, 'Numerical solution of the early stage of the unsteady viscous flow around a circular cylinder with experimental visualization and measurements', J. Fluid Mech., 160, 93-117 (1985).
    • (1985) J. Fluid Mech. , vol.160 , pp. 93-117
    • Loc, T.P.1    Bounard, R.2
  • 14
    • 0026906022 scopus 로고
    • Fluid flow and heat transfer test problems for non-orthogonal grids: Bench-mark solutions
    • I. Demirdzic, Ž. Lilek and M. Peric, 'Fluid flow and heat transfer test problems for non-orthogonal grids: bench-mark solutions', Int. j. numer. methods fluids, 15, 329-354 (1992).
    • (1992) Int. J. Numer. Methods Fluids , vol.15 , pp. 329-354
    • Demirdzic, I.1    Lilek, Ž.2    Peric, M.3
  • 15
    • 0027643082 scopus 로고
    • Benchmark solutions for the incompressible Navier-Stokes equations in general co-ordinates on staggered grids
    • C. W. Oosterlee, P. Wesseling, A. Segal and E. Brakkee, 'Benchmark solutions for the incompressible Navier-Stokes equations in general co-ordinates on staggered grids', Int. j. number, methods fluids, 17, 301-321 (1993).
    • (1993) Int. J. Number, Methods Fluids , vol.17 , pp. 301-321
    • Oosterlee, C.W.1    Wesseling, P.2    Segal, A.3    Brakkee, E.4
  • 16
    • 0028519682 scopus 로고
    • Effective downstream boundary conditions for incompressible Navier-Stokes equations
    • Ch.-H. Bruneau and P. Fabric, 'Effective downstream boundary conditions for incompressible Navier-Stokes equations', Int. j. numer. methods fluids, 19, 693-705 (1994).
    • (1994) Int. J. Numer. Methods Fluids , vol.19 , pp. 693-705
    • Bruneau, Ch.-H.1    Fabric, P.2
  • 18
    • 0030268363 scopus 로고    scopus 로고
    • Numerical study of high-Reynolds-number flow past a bluff object
    • M.-H. Chou and W. Huang, 'Numerical study of high-Reynolds-number flow past a bluff object', Int. j. numer. methods fluids, 23, 711-732(1996).
    • (1996) Int. J. Numer. Methods Fluids , vol.23 , pp. 711-732
    • Chou, M.-H.1    Huang, W.2
  • 19
    • 0022925213 scopus 로고
    • Comparision between two finite-difference schemes for computing flow around a cylinder
    • A. Borthwick, 'Comparision between two finite-difference schemes for computing flow around a cylinder'. Int. j. numer. methods fluids, 6, 275-290 (1986).
    • (1986) Int. J. Numer. Methods Fluids , vol.6 , pp. 275-290
    • Borthwick, A.1
  • 20
    • 0001307859 scopus 로고
    • Resolution of 2D Navier-Stokes equations in velocity-voracity form by means of an influence matrix technique
    • O. Daube, 'Resolution of 2D Navier-Stokes equations in velocity-voracity form by means of an influence matrix technique', J. Comput. Phys., 103, 402-414 (1992).
    • (1992) J. Comput. Phys. , vol.103 , pp. 402-414
    • Daube, O.1
  • 21
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially nonoscillatory schemes, II
    • A. Harten, B. Engquist, S. Osher and S. Chakravarty, 'Uniformly high order accurate essentially nonoscillatory schemes, II', J. Comput. Phys., 71, 231 (1987).
    • (1987) J. Comput. Phys. , vol.71 , pp. 231
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarty, S.4
  • 22
    • 0005093920 scopus 로고
    • A nonoscillatory shock capturing scheme using flux limited dissipation
    • A. Jameson, ' A nonoscillatory shock capturing scheme using flux limited dissipation', Lect. Appl. Math., 22, (1985).
    • (1985) Lect. Appl. Math. , vol.22
    • Jameson, A.1
  • 25
    • 0003686212 scopus 로고
    • Generalized formulation of TVD Lax-Wendroff schemes
    • P. L. Roe, 'Generalized formulation of TVD Lax-Wendroff schemes', ICASE Rep. 84-53, 1984.
    • (1984) ICASE Rep. 84-53
    • Roe, P.L.1
  • 26
    • 0008483201 scopus 로고
    • Unification of some advection schemes in two dimensions
    • D. Sidilkover and P. L. Roe, 'Unification of some advection schemes in two dimensions', ICASE Rep. 10-95, 1995.
    • (1995) ICASE Rep. 10-95
    • Sidilkover, D.1    Roe, P.L.2
  • 27
    • 0007245319 scopus 로고
    • Construction of explicit and implicit symmetric TVD schemes and their applications
    • H. Yee 'Construction of explicit and implicit symmetric TVD schemes and their applications', J. Comput. Phys., 68, 151-179 (1987).
    • (1987) J. Comput. Phys. , vol.68 , pp. 151-179
    • Yee, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.