메뉴 건너뛰기




Volumn 229, Issue 20, 2010, Pages 7545-7570

Compact fourth-order finite volume method for numerical solutions of navier-stokes equations on staggered grids

Author keywords

Compact schemes; Finite volume methods; Higher order schemes; Navier Stokes equations; Staggered grids

Indexed keywords

CHANNEL FLOW; COMPUTATIONAL FLUID DYNAMICS; EFFICIENCY; FINITE VOLUME METHOD; MOMENTUM; NUMERICAL METHODS; SHEAR FLOW; VISCOUS FLOW;

EID: 77955512553     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.05.042     Document Type: Article
Times cited : (77)

References (39)
  • 1
    • 0030115575 scopus 로고    scopus 로고
    • An analysis of numerical errors in large-eddy simulations of turbulence
    • Ghosal S. An analysis of numerical errors in large-eddy simulations of turbulence. Journal of Computational Physics 1996, 125:187.
    • (1996) Journal of Computational Physics , vol.125 , pp. 187
    • Ghosal, S.1
  • 2
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • Lele S.K. Compact finite difference schemes with spectral-like resolution. Journal of Computational Physics 1992, 103:16.
    • (1992) Journal of Computational Physics , vol.103 , pp. 16
    • Lele, S.K.1
  • 3
    • 0031537301 scopus 로고    scopus 로고
    • Optimized compact-difference-based finite-volume schemes for linear wave phenomena
    • Gaitonde D., Shang J.S. Optimized compact-difference-based finite-volume schemes for linear wave phenomena. Journal of Computational Physics 1997, 138:617.
    • (1997) Journal of Computational Physics , vol.138 , pp. 617
    • Gaitonde, D.1    Shang, J.S.2
  • 5
    • 0141935064 scopus 로고    scopus 로고
    • A fourth-order-accurate finite volume compact method for the incompressible Navier-Stokes solutions
    • Pereira J.M.C., Kobayashi M.H., Pereira J.C.F. A fourth-order-accurate finite volume compact method for the incompressible Navier-Stokes solutions. Journal of Computational Physics 2001, 167:217.
    • (2001) Journal of Computational Physics , vol.167 , pp. 217
    • Pereira, J.M.C.1    Kobayashi, M.H.2    Pereira, J.C.F.3
  • 7
    • 3242888718 scopus 로고    scopus 로고
    • A finite volume formulation of compact central schemes on arbitrary structured grids
    • Lacor C., Smirnova S., Baelmansb M. A finite volume formulation of compact central schemes on arbitrary structured grids. Journal of Computational Physics 2004, 198:535.
    • (2004) Journal of Computational Physics , vol.198 , pp. 535
    • Lacor, C.1    Smirnova, S.2    Baelmansb, M.3
  • 8
    • 23944518265 scopus 로고    scopus 로고
    • Evaluation of a fourth-order finite-volume compact scheme for LES with explicit filtering
    • Amiri A.E., Hannani S.K., Mashayek F. Evaluation of a fourth-order finite-volume compact scheme for LES with explicit filtering. Numerical Heat Transfer 2005, 48:147.
    • (2005) Numerical Heat Transfer , vol.48 , pp. 147
    • Amiri, A.E.1    Hannani, S.K.2    Mashayek, F.3
  • 9
    • 33750633853 scopus 로고    scopus 로고
    • A fourth order finite volume scheme for turbulent flow simulations in cylindrical domains
    • Shishkina O., Wagner C. A fourth order finite volume scheme for turbulent flow simulations in cylindrical domains. Computers and Fluids 2007, 36:484.
    • (2007) Computers and Fluids , vol.36 , pp. 484
    • Shishkina, O.1    Wagner, C.2
  • 11
    • 0012766359 scopus 로고    scopus 로고
    • Higher-order compact schemes for numerical simulation of incompressible flows. Part I: Theoretical development
    • Demuren A.O., Wilson R.V., Carpenter M. Higher-order compact schemes for numerical simulation of incompressible flows. Part I: Theoretical development. Numerical Heat Transfer, Part B 2001, 39:207.
    • (2001) Numerical Heat Transfer, Part B , vol.39 , pp. 207
    • Demuren, A.O.1    Wilson, R.V.2    Carpenter, M.3
  • 12
    • 0012880253 scopus 로고    scopus 로고
    • Higher-order compact schemes for numerical simulation of incompressible flows. Part II: Applications
    • Wilson R.V., Demuren A.O. Higher-order compact schemes for numerical simulation of incompressible flows. Part II: Applications. Numerical Heat Transfer, Part B 2001, 39:231.
    • (2001) Numerical Heat Transfer, Part B , vol.39 , pp. 231
    • Wilson, R.V.1    Demuren, A.O.2
  • 13
    • 66149127760 scopus 로고    scopus 로고
    • Study of a staggered fourth-order compact scheme for unsteady incompressible viscous flows
    • Knikker R. Study of a staggered fourth-order compact scheme for unsteady incompressible viscous flows. International Journal for Numerical Methods in Fluids 2009, 59:1063.
    • (2009) International Journal for Numerical Methods in Fluids , vol.59 , pp. 1063
    • Knikker, R.1
  • 15
    • 85189838535 scopus 로고    scopus 로고
    • An evaluation of a conservative fourth order DNS code in turbulent channel, Technical report, Center for Turbulence Research, Stanford University.
    • J. Gullbrand, An evaluation of a conservative fourth order DNS code in turbulent channel, Technical report, Center for Turbulence Research, Stanford University, 2000.
    • (2000)
    • Gullbrand, J.1
  • 17
    • 0034687916 scopus 로고    scopus 로고
    • High order finite difference schemes on non-uniform meshes with good conservation properties
    • Vasilyev O.V. High order finite difference schemes on non-uniform meshes with good conservation properties. Journal of Computational Physics 2000, 157:746.
    • (2000) Journal of Computational Physics , vol.157 , pp. 746
    • Vasilyev, O.V.1
  • 19
    • 0036568374 scopus 로고    scopus 로고
    • A comparison of second- and sixth-order methods for large-eddy simulations
    • Meinke M., Schroeder W., Krause E., Rister T. A comparison of second- and sixth-order methods for large-eddy simulations. Computers and Fluids 2002, 31:695.
    • (2002) Computers and Fluids , vol.31 , pp. 695
    • Meinke, M.1    Schroeder, W.2    Krause, E.3    Rister, T.4
  • 20
    • 0003259547 scopus 로고    scopus 로고
    • Optimized compact finite difference schemes with maximum resolution
    • Kim J.W., Lee D.J. Optimized compact finite difference schemes with maximum resolution. AIAA Journal 1996, 34:887.
    • (1996) AIAA Journal , vol.34 , pp. 887
    • Kim, J.W.1    Lee, D.J.2
  • 22
    • 0000135764 scopus 로고    scopus 로고
    • Accurate projection methods for the incompressible Navier-Stokes equations
    • Brown D.L., Cortez R., Minion M.L. Accurate projection methods for the incompressible Navier-Stokes equations. Journal of Computational Physics 2001, 168:464.
    • (2001) Journal of Computational Physics , vol.168 , pp. 464
    • Brown, D.L.1    Cortez, R.2    Minion, M.L.3
  • 23
    • 0038596999 scopus 로고    scopus 로고
    • On the application of the Helmholtz-Hodge decomposition in projection methods for incompressible flows with general boundary conditions
    • Denaro F.M. On the application of the Helmholtz-Hodge decomposition in projection methods for incompressible flows with general boundary conditions. International Journal for Numerical Methods in Fluids 2003, 43:43.
    • (2003) International Journal for Numerical Methods in Fluids , vol.43 , pp. 43
    • Denaro, F.M.1
  • 24
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin A.J. Numerical solution of the Navier-Stokes equations. Mathematics of Computation 1968, 22:745.
    • (1968) Mathematics of Computation , vol.22 , pp. 745
    • Chorin, A.J.1
  • 25
    • 84976729385 scopus 로고
    • An efficient parallel algorithm for the solution of a tridiagonal linear system of equations
    • Stone H.S. An efficient parallel algorithm for the solution of a tridiagonal linear system of equations. Journal of the ACM 1973, 20:27.
    • (1973) Journal of the ACM , vol.20 , pp. 27
    • Stone, H.S.1
  • 26
    • 85189841555 scopus 로고    scopus 로고
    • An approximate projection method for higher-order schemes in turbulent flows, in: 2nd GACM Colloquium on Computational Mechanics.
    • A. Hokpunna, M. Manhart, An approximate projection method for higher-order schemes in turbulent flows, in: 2nd GACM Colloquium on Computational Mechanics, 2007.
    • (2007)
    • Hokpunna, A.1    Manhart, M.2
  • 27
    • 85189838867 scopus 로고    scopus 로고
    • Compact Fourth-order Scheme for Numerical Simulations of Navier-Stokes Equations, Ph.D. Thesis, Hydromechanik, Technische Universität München.
    • A. Hokpunna, Compact Fourth-order Scheme for Numerical Simulations of Navier-Stokes Equations, Ph.D. Thesis, Hydromechanik, Technische Universität München, 2009.
    • (2009)
    • Hokpunna, A.1
  • 28
    • 0001439584 scopus 로고
    • The stability of numerical boundary treatments for compact high-order finite-difference schemes
    • Carpenter M.H., Gottlieb D., Abarbanel S. The stability of numerical boundary treatments for compact high-order finite-difference schemes. Journal of Computational Physics 1993, 108:272.
    • (1993) Journal of Computational Physics , vol.108 , pp. 272
    • Carpenter, M.H.1    Gottlieb, D.2    Abarbanel, S.3
  • 30
    • 85189842673 scopus 로고
    • ICASE/LaRC workshop on benchmark problems in computational aeroacoustics (CAA), in: Workshop Held in Hampton, VA, 24-26 Oct. 1994; Sponsored by NASA, Washington and Inst. for Computer Applications in Science and Engineering.
    • J.C. Hardin, J.R. Ristorcelli, C.K.W. Tam, ICASE/LaRC workshop on benchmark problems in computational aeroacoustics (CAA), in: Workshop Held in Hampton, VA, 24-26 Oct. 1994; Sponsored by NASA, Washington and Inst. for Computer Applications in Science and Engineering, 1995, pp. 24-26.
    • (1995) , pp. 24-26
    • Hardin, J.C.1    Ristorcelli, J.R.2    Tam, C.K.W.3
  • 31
    • 0002170686 scopus 로고
    • Performance of under-resolved two-dimensional incompressible flow simulations
    • Brown D.L. Performance of under-resolved two-dimensional incompressible flow simulations. Journal of Computational Physics 1995, 122:165.
    • (1995) Journal of Computational Physics , vol.122 , pp. 165
    • Brown, D.L.1
  • 33
    • 28144440222 scopus 로고
    • Direct simulation of turbulent flow using finite-difference schemes
    • Rai M.M., Moin P. Direct simulation of turbulent flow using finite-difference schemes. Journal of Computational Physics 1991, 96:15.
    • (1991) Journal of Computational Physics , vol.96 , pp. 15
    • Rai, M.M.1    Moin, P.2
  • 35
    • 0035370817 scopus 로고    scopus 로고
    • Direct numerical simulation of turbulent spots
    • Das J.M.A. Direct numerical simulation of turbulent spots. Computers and Fluids 2001, 30:533.
    • (2001) Computers and Fluids , vol.30 , pp. 533
    • Das, J.M.A.1
  • 36
    • 0023155294 scopus 로고
    • Turbulence statistics in fully developed channel flow at low Reynolds number
    • Kim J., Moin P., Moser R.D. Turbulence statistics in fully developed channel flow at low Reynolds number. Journal of Fluid Mechanics 1987, 177:133.
    • (1987) Journal of Fluid Mechanics , vol.177 , pp. 133
    • Kim, J.1    Moin, P.2    Moser, R.D.3
  • 37
    • 33747082682 scopus 로고    scopus 로고
    • Wall pressure and shear stress spectra from direct simulations of channel flow
    • Hu Z.W. Wall pressure and shear stress spectra from direct simulations of channel flow. AIAA Journal 2006, 44:1541.
    • (2006) AIAA Journal , vol.44 , pp. 1541
    • Hu, Z.W.1
  • 38
    • 85189841509 scopus 로고    scopus 로고
    • Large-eddy Simulation for Acoustics, Large-eddy Simulation for Acoustics, 13th ed.
    • P. Sagaut, Large-eddy Simulation for Acoustics, Large-eddy Simulation for Acoustics, 13th ed., 2007, pp. 89-127.
    • (2007) , pp. 89-127
    • Sagaut, P.1
  • 39
    • 0000583531 scopus 로고    scopus 로고
    • Direct numerical simulation: a tool in turbulence research
    • Moin P., Mahesh K. Direct numerical simulation: a tool in turbulence research. Annual Review of Fluid Mechanics 1998, 30:539.
    • (1998) Annual Review of Fluid Mechanics , vol.30 , pp. 539
    • Moin, P.1    Mahesh, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.