메뉴 건너뛰기




Volumn 44, Issue 6, 2006, Pages 2456-2480

Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows

Author keywords

Conservative scheme; Geometric singularity; Incompressible viscous flow; Jacobian; Navier Stokes equation; Permutation identity; Pole singularity

Indexed keywords

GEOMETRIC SINGULARITY; INCOMPRESSIBLE VISCOUS FLOW; PERMUTATION IDENTITY; POLE SINGULARITY;

EID: 37849052235     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/050639314     Document Type: Article
Times cited : (35)

References (19)
  • 1
    • 33744482805 scopus 로고
    • Computational design for long-term numerical integration of the equations of fluid motion: Two dimensional incompressible flow. Part I
    • A. ARAKAWA, Computational design for long-term numerical integration of the equations of fluid motion: Two dimensional incompressible flow. Part I, J. Comput. Phys., 1 (1966), pp. 119-143.
    • (1966) J. Comput. Phys , vol.1 , pp. 119-143
    • ARAKAWA, A.1
  • 3
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • L. CAFFARELLI. R. KOHN, AND L. NIRENBERG, Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math., 35 (1982), pp. 771-831.
    • (1982) Comm. Pure Appl. Math , vol.35 , pp. 771-831
    • CAFFARELLI, L.1    KOHN, R.2    NIRENBERG, L.3
  • 4
    • 0036012924 scopus 로고    scopus 로고
    • On the regularity of axisymmetric solutions of the Navier-Stokes equations
    • D. CHAE AND J. LEE, On the regularity of axisymmetric solutions of the Navier-Stokes equations, Math. Z., 239 (2002), pp. 645-671.
    • (2002) Math. Z , vol.239 , pp. 645-671
    • CHAE, D.1    LEE, J.2
  • 5
    • 0000907897 scopus 로고
    • Numerical computation of 3D incompressible ideal fluids with swirl
    • R. GRAUER AND T. C. SIDERIS, Numerical computation of 3D incompressible ideal fluids with swirl, Phys. Rev. Lett., 67 (1991), pp. 3511-3514.
    • (1991) Phys. Rev. Lett , vol.67 , pp. 3511-3514
    • GRAUER, R.1    SIDERIS, T.C.2
  • 6
    • 0000928087 scopus 로고
    • Finite time singularities in ideal fluids with swirl
    • R. GRAUER AND T. C. SIDERIS, Finite time singularities in ideal fluids with swirl, Phys. D, 88 (1995), pp. 116 132.
    • (1995) Phys. D , vol.88 , pp. 116-132
    • GRAUER, R.1    SIDERIS, T.C.2
  • 7
    • 0026881063 scopus 로고
    • Convergence of a finite difference scheme for the Navier-Stokes equations using vorticity boundary conditions
    • T. Y. HOU AND B. T. R. WETTON, Convergence of a finite difference scheme for the Navier-Stokes equations using vorticity boundary conditions, SIAM J. Numer. Anal., 29 (1992), pp. 615-639.
    • (1992) SIAM J. Numer. Anal , vol.29 , pp. 615-639
    • HOU, T.Y.1    WETTON, B.T.R.2
  • 10
    • 37849053849 scopus 로고    scopus 로고
    • P. L. LIONS, Mathematical Topics in Fluid Mechanics, 1: Incompressible Models, Oxford Lecture Ser. Math. Appl., Oxford University Press, New York, 1996.
    • P. L. LIONS, Mathematical Topics in Fluid Mechanics, Volume 1: Incompressible Models, Oxford Lecture Ser. Math. Appl., Oxford University Press, New York, 1996.
  • 11
    • 4544328546 scopus 로고    scopus 로고
    • Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry
    • J.-G. LIU AND W. C. WANG, Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry, J. Comput. Phys., 200 (2004), pp. 8-33.
    • (2004) J. Comput. Phys , vol.200 , pp. 8-33
    • LIU, J.-G.1    WANG, W.C.2
  • 13
    • 0002307647 scopus 로고
    • The pseudospectral approximation applied to the shallow water equations on a sphere
    • P. E. MERILEES, The pseudospectral approximation applied to the shallow water equations on a sphere, Atmosphere, 11 (1973), pp. 13-20.
    • (1973) Atmosphere , vol.11 , pp. 13-20
    • MERILEES, P.E.1
  • 14
    • 0002414440 scopus 로고    scopus 로고
    • Fully conservative higher order finite difference schemes for incompressible flow
    • Y. MORINISHI, T. S. LUND, O. V. VASILYEV, AND P. MOIN, Fully conservative higher order finite difference schemes for incompressible flow, J. Comput. Phys., 143 (1998), pp. 90-124.
    • (1998) J. Comput. Phys , vol.143 , pp. 90-124
    • MORINISHI, Y.1    LUND, T.S.2    VASILYEV, O.V.3    MOIN, P.4
  • 15
    • 84968507702 scopus 로고
    • Summation by parts, projections, and stability
    • P. OLSSON, Summation by parts, projections, and stability. I, Math. Comp., 64 (1995), pp. 1035-1065.
    • (1995) I, Math. Comp , vol.64 , pp. 1035-1065
    • OLSSON, P.1
  • 16
    • 0001518767 scopus 로고
    • Conservation properties of convection difference schemes
    • S. A. PIACSEK AND G. P. WILLIAMS, Conservation properties of convection difference schemes, J. Comput. Phys., 6 (1970), pp. 392-405.
    • (1970) J. Comput. Phys , vol.6 , pp. 392-405
    • PIACSEK, S.A.1    WILLIAMS, G.P.2
  • 17
    • 85041150744 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • P. SAFFMAN, Vortex Dynamics, Cambridge University Press, Cambridge, UK, 1992.
    • (1992) Vortex Dynamics
    • SAFFMAN, P.1
  • 18
    • 0037407582 scopus 로고    scopus 로고
    • Symmetry-preserving discretization of turbulent flow
    • R. W. C. P. VERSTAPPEN AND A. E. P. VELDMAN, Symmetry-preserving discretization of turbulent flow, J. Comput. Phys., 187 (2003), pp. 343-368.
    • (2003) J. Comput. Phys , vol.187 , pp. 343-368
    • VERSTAPPEN, R.W.C.P.1    VELDMAN, A.E.P.2
  • 19
    • 0036590740 scopus 로고    scopus 로고
    • Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation
    • C. WANG AND J.-G. LIU, Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation, Numer. Math., 91 (2002), pp. 543-576.
    • (2002) Numer. Math , vol.91 , pp. 543-576
    • WANG, C.1    LIU, J.-G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.