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Volumn 17, Issue 6, 2001, Pages 657-672

Extension of high-order compact schemes to time-dependent problems

Author keywords

Compact stencils; Convection; Diffusion; High order methods; Mixed methods

Indexed keywords


EID: 0035499484     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.1032     Document Type: Article
Times cited : (103)

References (30)
  • 3
    • 0029380108 scopus 로고
    • High-order compact scheme for the stream-function vorticity equations
    • W. F. Spotz and G. F. Carey, High-order compact scheme for the stream-function vorticity equations, Int J Numerical Methods Eng 38 (1995), 3497-3512.
    • (1995) Int J Numerical Methods Eng , vol.38 , pp. 3497-3512
    • Spotz, W.F.1    Carey, G.F.2
  • 4
    • 0347344968 scopus 로고    scopus 로고
    • High-order compact finite difference methods
    • A. V. Ilin and L. R. Scott, editors, Houston, Texas
    • W. F. Spotz and G. F. Carey, High-order compact finite difference methods, A. V. Ilin and L. R. Scott, editors, ICOSAHOM 95, Proc Third Int Conf Spectral High-Order Methods, Houston, Texas, 1996, pp 397-408.
    • (1996) ICOSAHOM 95, Proc Third Int Conf Spectral High-order Methods , pp. 397-408
    • Spotz, W.F.1    Carey, G.F.2
  • 5
    • 0000191571 scopus 로고    scopus 로고
    • A high-order compact formulation for the 3D poisson equation
    • W. F. Spotz and G. F. Carey, A high-order compact formulation for the 3D Poisson equation, Numer Methods Partial Differential Eq 12 (1996), 235-243.
    • (1996) Numer Methods Partial Differential Eq , vol.12 , pp. 235-243
    • Spotz, W.F.1    Carey, G.F.2
  • 6
    • 0031705494 scopus 로고    scopus 로고
    • Formulation and experiments with high-order compact schemes for nonuniform grids
    • W. F. Spotz and G. F. Carey, Formulation and experiments with high-order compact schemes for nonuniform grids, Int J Numer Methods Heat Fluid Flow 8 (1998), 288-303.
    • (1998) Int J Numer Methods Heat Fluid Flow , vol.8 , pp. 288-303
    • Spotz, W.F.1    Carey, G.F.2
  • 7
    • 0001947326 scopus 로고    scopus 로고
    • Iterative and parallel performance of high-order compact systems
    • W. F. Spotz and G. F. Carey, Iterative and parallel performance of high-order compact systems, SIAM J Sci Comp 19 (1998), 1-14.
    • (1998) SIAM J Sci Comp , vol.19 , pp. 1-14
    • Spotz, W.F.1    Carey, G.F.2
  • 8
    • 0000350663 scopus 로고
    • High accuracy solutions of incompressible navier-stokes equations
    • M. M. Gupta, High accuracy solutions of incompressible Navier-Stokes equations, J Comp Phys 93 (1991), 343-359.
    • (1991) J Comp Phys , vol.93 , pp. 343-359
    • Gupta, M.M.1
  • 9
    • 0020219118 scopus 로고
    • Single-cell high order difference method for steady state advection-diffusion equation
    • Ecole Nationale des Ponts et Chaussees, Paris, France
    • M. M. Gupta, R. P. Manohar, and J. W. Stephenson, Single-cell high order difference method for steady state advection-diffusion equation, Proc Symp, Int Assoc Hydraulic Research, Ecole Nationale des Ponts et Chaussees, Paris, France, 1982, pp 101-108.
    • (1982) Proc Symp, Int Assoc Hydraulic Research , pp. 101-108
    • Gupta, M.M.1    Manohar, R.P.2    Stephenson, J.W.3
  • 10
    • 0021207821 scopus 로고
    • A single cell high order scheme for the convection-diffusion equation with variable coefficients
    • M. M. Gupta, R. P. Manohar, and J. W. Stephenson, A single cell high order scheme for the convection-diffusion equation with variable coefficients, Int J Numer Methods Fluids 4 (1984), 641-651.
    • (1984) Int J Numer Methods Fluids , vol.4 , pp. 641-651
    • Gupta, M.M.1    Manohar, R.P.2    Stephenson, J.W.3
  • 12
    • 0000019404 scopus 로고    scopus 로고
    • Symbolic derivation of finite difference approximations for the three-dimensional poisson equation
    • M. M. Gupta and J. Kouatchou, Symbolic derivation of finite difference approximations for the three-dimensional Poisson equation, Numer Methods Partial Differential Eq 14 (1998), 593-606.
    • (1998) Numer Methods Partial Differential Eq , vol.14 , pp. 593-606
    • Gupta, M.M.1    Kouatchou, J.2
  • 13
    • 0001344174 scopus 로고    scopus 로고
    • On convergence and performance of iterative methods with fourth-order compact schemes
    • J. Zhang, On convergence and performance of iterative methods with fourth-order compact schemes, Numer Methods Partial Differential Eq 14 (1998), 263-280.
    • (1998) Numer Methods Partial Differential Eq , vol.14 , pp. 263-280
    • Zhang, J.1
  • 14
    • 0025430034 scopus 로고
    • New third-order finite-difference method for transient one-dimensional advection-diffusion
    • B. J. Noye, New third-order finite-difference method for transient one-dimensional advection-diffusion, Comm Appl Numerical Methods 6 (1990), 279-288.
    • (1990) Comm Appl Numerical Methods , vol.6 , pp. 279-288
    • Noye, B.J.1
  • 15
    • 0026238770 scopus 로고
    • Compact unconditionally stable finite difference method for transient one-dimensional advection-diffusion
    • B. J. Noye, Compact unconditionally stable finite difference method for transient one-dimensional advection-diffusion, Comm Appl Numerical Methods 7 (1991), 501-512.
    • (1991) Comm Appl Numerical Methods , vol.7 , pp. 501-512
    • Noye, B.J.1
  • 16
    • 0022943955 scopus 로고
    • An accurate five-point explicit finite difference method for solving the one-dimensional diffusion equation
    • B. J. Noye and R. L. May, editors, Elsevier, New York
    • B. J. Noye and K. J. Hayman, An accurate five-point explicit finite difference method for solving the one-dimensional diffusion equation, B. J. Noye and R. L. May, editors, Computational techniques and applications, CTAC-85, Elsevier, New York, 1986, pp 205-216.
    • (1986) Computational Techniques and Applications, CTAC-85 , pp. 205-216
    • Noye, B.J.1    Hayman, K.J.2
  • 17
    • 0027069888 scopus 로고
    • Explicit two-level finite-difference methods for the two-dimensional diffusion equation
    • B. J. Noye and K. J. Hayman, Explicit two-level finite-difference methods for the two-dimensional diffusion equation, Int J Comp Math 42 (1992), 223-236,.
    • (1992) Int J Comp Math , vol.42 , pp. 223-236
    • Noye, B.J.1    Hayman, K.J.2
  • 18
    • 0024050730 scopus 로고
    • A third-order semi-implicit finite difference method for solving the one-dimensional convection-diffusion equation
    • B. J. Noye and H. H. Tan, A third-order semi-implicit finite difference method for solving the one-dimensional convection-diffusion equation, Int J Numerical Methods Eng 26 (1988), 1615-1629.
    • (1988) Int J Numerical Methods Eng , vol.26 , pp. 1615-1629
    • Noye, B.J.1    Tan, H.H.2
  • 19
    • 0024304690 scopus 로고
    • Finite difference methods for solving the two-dimensional advection-diffusion equation
    • B. J. Noye and H. H. Tan, Finite difference methods for solving the two-dimensional advection-diffusion equation, Int J Numerical Methods Fluids 9 (1989), 75-98.
    • (1989) Int J Numerical Methods Fluids , vol.9 , pp. 75-98
    • Noye, B.J.1    Tan, H.H.2
  • 20
    • 0000665727 scopus 로고
    • Compact higher-order schemes for the euler equations
    • S. Abarbanel and A. Kumar, Compact higher-order schemes for the Euler equations, J Sci Comp 3 (1988), 275-288.
    • (1988) J Sci Comp , vol.3 , pp. 275-288
    • Abarbanel, S.1    Kumar, A.2
  • 21
    • 84980086431 scopus 로고
    • Difference schemes for hyperbolic equations with high order of accuracy
    • P. D. Lax and B. Wendroff, Difference schemes for hyperbolic equations with high order of accuracy, Comm Pure Appl Math 17 (1964), 381-398.
    • (1964) Comm Pure Appl Math , vol.17 , pp. 381-398
    • Lax, P.D.1    Wendroff, B.2
  • 22
    • 0003102291 scopus 로고
    • Higher order accurate difference solution of fluid mechanics problems by a compact differencing technique
    • R. S. Hirsh, Higher order accurate difference solution of fluid mechanics problems by a compact differencing technique, J Comp Phys 9 (1975), 90-109.
    • (1975) J Comp Phys , vol.9 , pp. 90-109
    • Hirsh, R.S.1
  • 23
    • 0026223011 scopus 로고
    • Differential equation-based representation of truncation errors for accurate numerical simulation
    • R. J. MacKinnon and R. W. Johnson, Differential equation-based representation of truncation errors for accurate numerical simulation, Int J Numerical Methods Fluids 13 (1991), 739-757.
    • (1991) Int J Numerical Methods Fluids , vol.13 , pp. 739-757
    • MacKinnon, R.J.1    Johnson, R.W.2
  • 25
    • 0032168159 scopus 로고    scopus 로고
    • Accelerated solution of non-linear flow problems using Chebyshev iteration polynomial-based RK recursions
    • A. A. Lorber, G. F. Carey, S. W. Bova, and C. Harle, Accelerated solution of non-linear flow problems using Chebyshev iteration polynomial-based RK recursions, Computers Fluids 27 (1998), 769-782.
    • (1998) Computers Fluids , vol.27 , pp. 769-782
    • Lorber, A.A.1    Carey, G.F.2    Bova, S.W.3    Harle, C.4
  • 26
    • 0005009549 scopus 로고    scopus 로고
    • ODE recursions and iterative solvers for linear equations
    • A. A. Lorber, G. F. Carey, and W. Joubert, ODE recursions and iterative solvers for linear equations, SIAM J Sci Comp 17 (1996), 65-77.
    • (1996) SIAM J Sci Comp , vol.17 , pp. 65-77
    • Lorber, A.A.1    Carey, G.F.2    Joubert, W.3
  • 27
    • 0001439584 scopus 로고
    • The stability of numerical boundary treatments for compact high-order finite-difference schemes
    • M. H. Carpenter, D. Gottlieb, and S. Abarbanel, The stability of numerical boundary treatments for compact high-order finite-difference schemes, J Comp Phys 108 (1993), 272-295.
    • (1993) J Comp Phys , vol.108 , pp. 272-295
    • Carpenter, M.H.1    Gottlieb, D.2    Abarbanel, S.3
  • 28
    • 0032582303 scopus 로고    scopus 로고
    • Accuracy and performance of numerical wall boundary conditions for steady, 2D incompressible stream-function vorticity
    • W. F. Spotz, Accuracy and performance of numerical wall boundary conditions for steady, 2D incompressible stream-function vorticity, Int J Numer Methods Fluids 28 (1998), 737-757.
    • (1998) Int J Numer Methods Fluids , vol.28 , pp. 737-757
    • Spotz, W.F.1
  • 29
    • 0008523704 scopus 로고
    • Solutions of the shallow water equations on the sphere
    • R. L. Gilliland, Solutions of the shallow water equations on the sphere, J Comp Phys 43 (1981), 79-94.
    • (1981) J Comp Phys , vol.43 , pp. 79-94
    • Gilliland, R.L.1
  • 30
    • 0000007535 scopus 로고    scopus 로고
    • Fast shallow water equation solvers in latitude-longitude coordinates
    • W. F. Spotz, M. A. Taylor, and P. N. Swarztrauber, Fast shallow water equation solvers in latitude-longitude coordinates, J Comp Phys 145 (1998), 432-444.
    • (1998) J Comp Phys , vol.145 , pp. 432-444
    • Spotz, W.F.1    Taylor, M.A.2    Swarztrauber, P.N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.