메뉴 건너뛰기




Volumn 18, Issue 2, 2003, Pages 253-285

A Fourth Order Scheme for Incompressible Boussinesq Equations

Author keywords

Boussinesq equations; Compact scheme; Incompressible flow; Kelvin Helmholtz instability; Long stencil approximation; One sided extrapolation; Vorticity boundary condition

Indexed keywords

BOUSSINESQ EQUATIONS; COMPACT SCHEMES; KELVIN-HELMHOLTZ INSTABILITY; LONG-STENCIL APPROXIMATION; ONE SIDED EXTRAPOLATION;

EID: 0011805231     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021168924020     Document Type: Conference Paper
Times cited : (84)

References (23)
  • 1
    • 0001373981 scopus 로고
    • A Second-order projection method for variable-density flows
    • Bell, J. B., and Marcus, D. L. (1992). A Second-order projection method for variable-density flows. J. Comput. Phys. 101, 334-348.
    • (1992) J. Comput. Phys. , vol.101 , pp. 334-348
    • Bell, J.B.1    Marcus, D.L.2
  • 2
    • 84959605141 scopus 로고
    • A numerical study of laminar separation bubbles using the Navier-Stokes equations
    • Briley, W. R. (1971). A numerical study of laminar separation bubbles using the Navier-Stokes equations. J. Fluid Mech. 47, 713-736.
    • (1971) J. Fluid Mech. , vol.47 , pp. 713-736
    • Briley, W.R.1
  • 4
    • 0030584561 scopus 로고    scopus 로고
    • Vorticity boundary condition for finite difference schemes
    • E, Weinan, and Liu, J.-G. (1996). Vorticity boundary condition for finite difference schemes. J. Comput. Phys. 124, 368-382.
    • (1996) J. Comput. Phys. , vol.124 , pp. 368-382
    • Weinan, E.1    Liu, J.-G.2
  • 5
    • 0030171562 scopus 로고    scopus 로고
    • Essentially compact schemes for unsteady viscous incompressible flows
    • E, Weinan, and Liu, J.-G. (1996). Essentially compact schemes for unsteady viscous incompressible flows. J. Comput. Phys. 126, 122-138.
    • (1996) J. Comput. Phys. , vol.126 , pp. 122-138
    • Weinan, E.1    Liu, J.-G.2
  • 6
    • 36448999024 scopus 로고
    • Small-scale structures in Boussinesq convection
    • E, Weinan, and Shu, Chi-Wang (1994). Small-scale structures in Boussinesq convection. Phys. Fluids 6 (1), 49-58.
    • (1994) Phys. Fluids , vol.6 , Issue.1 , pp. 49-58
    • Weinan, E.1    Shu, C.-W.2
  • 8
    • 0001604991 scopus 로고
    • Numerical methods for the first biharmonic equation and for the two-dimensional Stokes problem
    • Glowinski, R., and Pironneau, O. (1979). Numerical methods for the first biharmonic equation and for the two-dimensional Stokes problem. SIAM Rev. 21, 167-212.
    • (1979) SIAM Rev. , vol.21 , pp. 167-212
    • Glowinski, R.1    Pironneau, O.2
  • 9
    • 0028436703 scopus 로고
    • A fourth-order accurate difference approximation for the incompressible Navier-Stokes equations
    • Henshaw, W. D., Kreiss, H. O., and Reyna, L. G. M. (1994). A fourth-order accurate difference approximation for the incompressible Navier-Stokes equations. Comput. and Fluids 23, 575-593.
    • (1994) Comput. and Fluids , vol.23 , pp. 575-593
    • Henshaw, W.D.1    Kreiss, H.O.2    Reyna, L.G.M.3
  • 11
    • 0002807572 scopus 로고    scopus 로고
    • Computational predictability of natural convection flows in enclosures: A benchmark problem
    • Bathe, K. J. (ed.), Elsevier Science
    • Johnston, H., and Krasny, R. (2001). Computational predictability of natural convection flows in enclosures: A benchmark problem. In Bathe, K. J. (ed.), Computational Fluids and Solid Mechanics (Conference Proceedings), Elsevier Science.
    • (2001) Computational Fluids and Solid Mechanics (Conference Proceedings)
    • Johnston, H.1    Krasny, R.2
  • 12
    • 0037146171 scopus 로고    scopus 로고
    • Fourth order finite difference simulation of a differentially-heated cavity
    • Johnston, H., and Krasny, R. (2002). Fourth order finite difference simulation of a differentially-heated cavity. To appear in Int. J. Num. Meth. Fluids.
    • (2002) Int. J. Num. Meth. Fluids.
    • Johnston, H.1    Krasny, R.2
  • 13
    • 0037142977 scopus 로고    scopus 로고
    • Finite difference schemes for incompressible flow based on local pressure boundary conditions
    • Johnston, H., and Liu J.-G. (2002). Finite difference schemes for incompressible flow based on local pressure boundary conditions. J., Comput. Phys. 180, 120-154.
    • (2002) J., Comput. Phys. , vol.180 , pp. 120-154
    • Johnston, H.1    Liu, J.-G.2
  • 14
    • 0016004920 scopus 로고
    • Numerical simulation of viscous incompressible flows
    • Orszag, S. A., and Israeli, M. (1974). Numerical simulation of viscous incompressible flows. Ann. Rev. Fluid Mech. 6, 281-318.
    • (1974) Ann. Rev. Fluid Mech. , vol.6 , pp. 281-318
    • Orszag, S.A.1    Israeli, M.2
  • 16
    • 0032022782 scopus 로고    scopus 로고
    • From onset of unsteadiness to chaos in a differentially heated cavity
    • Quéré, P. L., and Behnia, M. (1998). From onset of unsteadiness to chaos in a differentially heated cavity. J. Fluid Mech. 359, 81-107.
    • (1998) J. Fluid Mech. , vol.359 , pp. 81-107
    • Quéré, P.L.1    Behnia, M.2
  • 17
    • 0001226553 scopus 로고
    • The flow past circular cylinders at low speeds
    • Thom, A. (1933). The flow past circular cylinders at low speeds, Proc. Roy. Soc. A 141, 651-669.
    • (1933) Proc. Roy. Soc. A , vol.141 , pp. 651-669
    • Thom, A.1
  • 18
    • 0000065592 scopus 로고
    • On standing internal gravity waves of finite amplitude
    • Thorpe, S. A. (1968). On standing internal gravity waves of finite amplitude. J. Fluid Mech. 32, 489-528.
    • (1968) J. Fluid Mech. , vol.32 , pp. 489-528
    • Thorpe, S.A.1
  • 19
    • 84958430789 scopus 로고
    • Experiments on the instability of stratified shear flows: Immiscible fluids
    • Thorpe, S. A. (1969). Experiments on the instability of stratified shear flows: Immiscible fluids. J. Fluid Mech. 39, 25-48.
    • (1969) J. Fluid Mech. , vol.39 , pp. 25-48
    • Thorpe, S.A.1
  • 21
    • 0036590740 scopus 로고    scopus 로고
    • Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation
    • Wang, C., and Liu, J.-G. (2002). Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation. Numer. Math. 91, 543-576.
    • (2002) Numer. Math. , vol.91 , pp. 543-576
    • Wang, C.1    Liu, J.-G.2
  • 22
    • 0346740060 scopus 로고    scopus 로고
    • Fourth order convergence of compact finite difference solvers for 2D incompressible flow
    • Wang, C., and Liu, J.-G., Fourth order convergence of compact finite difference solvers for 2D incompressible flow. Accepted for publication in Comm. in Appl. Anal.
    • Comm. in Appl. Anal.
    • Wang, C.1    Liu, J.-G.2
  • 23
    • 2942555389 scopus 로고    scopus 로고
    • Analysis of a fourth order finite difference method for incompressible Boussinesq equations
    • Wang, C., Liu, J.-G., and Johnston, H. Analysis of a fourth order finite difference method for incompressible Boussinesq equations. Submitted to Numer. Math.
    • Numer. Math.
    • Wang, C.1    Liu, J.-G.2    Johnston, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.