메뉴 건너뛰기




Volumn 140, Issue 2, 1998, Pages 459-480

MPDATA: A Finite-Difference Solver for Geophysical Flows

Author keywords

Advection; Computational fluid dynamics; Nonoscillatory approximations

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FLOW OF FLUIDS; GEOPHYSICS; NUMERICAL METHODS;

EID: 0001567858     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.5901     Document Type: Review
Times cited : (364)

References (37)
  • 4
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin A. J. Numerical solution of the Navier-Stokes equations. Math. Comp. 22:1968;742.
    • (1968) Math. Comp. , vol.22 , pp. 742
    • Chorin, A.J.1
  • 5
    • 0007434986 scopus 로고    scopus 로고
    • Multidimensional forward-in-time and upstream-in-space-based differencing for fluids
    • Drange H., Bleck R. Multidimensional forward-in-time and upstream-in-space-based differencing for fluids. Mon. Wea. Rev. 125:1997;616.
    • (1997) Mon. Wea. Rev. , vol.125 , pp. 616
    • Drange, H.1    Bleck, R.2
  • 6
    • 0000935266 scopus 로고
    • A difference scheme for numerical computation of discontinuous solutions of equations in fluid dynamics
    • Godunov S. K. A difference scheme for numerical computation of discontinuous solutions of equations in fluid dynamics. Math. Sb. 47:1959;271.
    • (1959) Math. Sb. , vol.47 , pp. 271
    • Godunov, S.K.1
  • 7
    • 0025680192 scopus 로고
    • Monotone finite-difference approximations to the advection-condensation problem
    • Grabowski W. W., Smolarkiewicz P. K. Monotone finite-difference approximations to the advection-condensation problem. Mon. Wea. Rev. 118:1990;2082.
    • (1990) Mon. Wea. Rev. , vol.118 , pp. 2082
    • Grabowski, W.W.1    Smolarkiewicz, P.K.2
  • 9
    • 33749725182 scopus 로고
    • Uniformly high-order accurate essentially non-oscillatory schemes III
    • Harten A., Engquist B., Osher S., Chakravarthy S. R. Uniformly high-order accurate essentially non-oscillatory schemes III. J. Comput. Phys. 71:1987;231.
    • (1987) J. Comput. Phys. , vol.71 , pp. 231
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.R.4
  • 10
    • 0029505333 scopus 로고
    • Upwind-weighted advection schemes for ocean tracer transport: An evaluation in a passive tracer context
    • Hecht W., Holland W. R., Rasch P. J. Upwind-weighted advection schemes for ocean tracer transport: An evaluation in a passive tracer context. J. Geophys. Res. 100:1995;20763.
    • (1995) J. Geophys. Res. , vol.100 , pp. 20763
    • Hecht, W.1    Holland, W.R.2    Rasch, P.J.3
  • 14
    • 0000841026 scopus 로고
    • Large-eddy simulation of convective boundary-layer: A comparison of four computer codes
    • H. Durst, et al., Springer-Verlag, New York/Berlin
    • F. T. M. Nieuwstadt, P. J. Mason, C-H, Moeng, U. Schumann, Large-eddy simulation of convective boundary-layer: A comparison of four computer codes, Turbulent Shear Flows 8, H. Durst, et al., Springer-Verlag, New York/Berlin, 1992, 343.
    • (1992) Turbulent Shear Flows 8 , pp. 343
    • Nieuwstadt, F.T.M.1    Mason, P.J.2    Moeng, C.-H.3    Schumann, U.4
  • 15
    • 0030403514 scopus 로고    scopus 로고
    • On the propagation and breaking at high altitudes of gravity waves excited by tropospheric forcing
    • Prusa J. M., Smolarkiewicz P. K., Garcia R. R. On the propagation and breaking at high altitudes of gravity waves excited by tropospheric forcing. J. Atmos. Sci. 53:1996;2186.
    • (1996) J. Atmos. Sci. , vol.53 , pp. 2186
    • Prusa, J.M.1    Smolarkiewicz, P.K.2    Garcia, R.R.3
  • 18
    • 0030268964 scopus 로고    scopus 로고
    • A synchronous and iterative flux-correction formalism for coupled transport equations
    • Schär C., Smolarkiewicz P. K. A synchronous and iterative flux-correction formalism for coupled transport equations. J. Comput. Phys. 128:1996;101.
    • (1996) J. Comput. Phys , vol.128 , pp. 101
    • Schär, C.1    Smolarkiewicz, P.K.2
  • 19
    • 33947504722 scopus 로고
    • Subgrid length-scales for large-eddy simulation of stratified turbulence
    • Schumann U. Subgrid length-scales for large-eddy simulation of stratified turbulence. Theoret. Comput. Fluid Dynamics. 2:1991;279.
    • (1991) Theoret. Comput. Fluid Dynamics , vol.2 , pp. 279
    • Schumann, U.1
  • 20
    • 85190162637 scopus 로고    scopus 로고
    • Intercomparison of 3D/2D cloud resolving models and 1D parameterizations for the shallow-cumulus topped boundary layer
    • Siebesma A. P. Intercomparison of 3D/2D cloud resolving models and 1D parameterizations for the shallow-cumulus topped boundary layer. Bound.-Layer Meteor. 1998.
    • (1998) Bound.-Layer Meteor.
    • Siebesma, A.P.1
  • 21
    • 0020918558 scopus 로고
    • A simple positive definite advection scheme with small implicit diffusion
    • Smolarkiewicz P. K. A simple positive definite advection scheme with small implicit diffusion. Mon. Wea. Rev. 111:1983;479.
    • (1983) Mon. Wea. Rev. , vol.111 , pp. 479
    • Smolarkiewicz, P.K.1
  • 22
    • 0001097416 scopus 로고
    • A fully multidimensional positive definite advection transport algorithm with small implicit diffusion
    • Smolarkiewicz P. K. A fully multidimensional positive definite advection transport algorithm with small implicit diffusion. J. Comput. Phys. 54:1984;325.
    • (1984) J. Comput. Phys. , vol.54 , pp. 325
    • Smolarkiewicz, P.K.1
  • 23
    • 33749522108 scopus 로고
    • The multidimensional positive definite advection transport algorithm: Further development and applications
    • Smolarkiewicz P. K., Clark T. L. The multidimensional positive definite advection transport algorithm: Further development and applications. J. Comput. Phys. 67:1986;396.
    • (1986) J. Comput. Phys. , vol.67 , pp. 396
    • Smolarkiewicz, P.K.1    Clark, T.L.2
  • 24
    • 0000037511 scopus 로고
    • The multidimensional positive definite advection transport algorithm: Nonoscillatory option
    • Smolarkiewicz P. K., Grabowski W. W. The multidimensional positive definite advection transport algorithm: Nonoscillatory option. J. Comput. Phys. 86:1990;355.
    • (1990) J. Comput. Phys. , vol.86 , pp. 355
    • Smolarkiewicz, P.K.1    Grabowski, W.W.2
  • 25
    • 0026273789 scopus 로고
    • On forward-in-time differencing for fluids
    • Smolarkiewicz P. K. On forward-in-time differencing for fluids. Mon. Wea. Rev. 119:1991;2505.
    • (1991) Mon. Wea. Rev. , vol.119 , pp. 2505
    • Smolarkiewicz, P.K.1
  • 27
  • 28
    • 0027795504 scopus 로고
    • On forward-in-time differencing for fluids: Extension to a curvilinear framework
    • Smolarkiewicz P. K., Margolin L. G. On forward-in-time differencing for fluids: Extension to a curvilinear framework. Mon. Wea. Rev. 121:1993;1847.
    • (1993) Mon. Wea. Rev. , vol.121 , pp. 1847
    • Smolarkiewicz, P.K.1    Margolin, L.G.2
  • 29
    • 0000118660 scopus 로고
    • Variational solver for elliptic problems in atmospheric flows
    • Smolarkiewicz P. K., Margolin L. G. Variational solver for elliptic problems in atmospheric flows. Appl. Math. & Comp. Sci. 4:1994;527.
    • (1994) Appl. Math. & Comp. Sci. , vol.4 , pp. 527
    • Smolarkiewicz, P.K.1    Margolin, L.G.2
  • 30
    • 0000372922 scopus 로고    scopus 로고
    • On forward-in-time differencing for fluids: Stopping criteria for iterative solutions of anelastic pressure equations
    • Smolarkiewicz P. K., Grubisić V., Margolin L. G. On forward-in-time differencing for fluids: Stopping criteria for iterative solutions of anelastic pressure equations. Mon. Wea. Rev. 125:1997;647.
    • (1997) Mon. Wea. Rev. , vol.125 , pp. 647
    • Smolarkiewicz, P.K.1    Grubisić, V.2    Margolin, L.G.3
  • 31
    • 77953525929 scopus 로고    scopus 로고
    • On forward-in-time differencing for fluids: An Eulerian/semi-Lagrangian nonhydrostatic model for stratified flows
    • C. LinR. LapriseH. Ritchie, Oceanographical Society, Ottawa, Canada, Atmosphere-Ocean
    • P. K. Smolarkiewicz, L. G. Margolin, On forward-in-time differencing for fluids: An Eulerian/semi-Lagrangian nonhydrostatic model for stratified flows, Numerical Methods in Atmospheric and Oceanic Modelling. The André Robert Memorial Volume, C. LinR. LapriseH. Ritchie, Oceanographical Society, Ottawa, Canada, 1997, 127, Atmosphere-Ocean.
    • (1997) Numerical Methods in Atmospheric and Oceanic Modelling. The André Robert Memorial Volume , pp. 127
    • Smolarkiewicz, P.K.1    Margolin, L.G.2
  • 32
    • 0029728929 scopus 로고    scopus 로고
    • Numerical study of penetrative and 'solid lid' nonpenetrative convective boundary layers
    • Sorbjan Z. Numerical study of penetrative and 'solid lid' nonpenetrative convective boundary layers. J. Atmos. Sci. 53:1996;101.
    • (1996) J. Atmos. Sci. , vol.53 , pp. 101
    • Sorbjan, Z.1
  • 33
    • 0030525013 scopus 로고    scopus 로고
    • A forward-in-time advection scheme and adaptative multilevel flow solver for nearly incompressible atmospheric flow
    • Stevens D. E., Bretherton S. A forward-in-time advection scheme and adaptative multilevel flow solver for nearly incompressible atmospheric flow. J. Comput. Phys. 129:1996;283.
    • (1996) J. Comput. Phys. , vol.129 , pp. 283
    • Stevens, D.E.1    Bretherton, S.2
  • 34
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5:1968;506.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 506
    • Strang, G.1
  • 35
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for hyperbolic conservation laws
    • Sweby P. K. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM J. Numer. Anal. 21:1984;995.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 995
    • Sweby, P.K.1
  • 36
    • 85066350454 scopus 로고
    • A standard test set for numerical approximations to the shallow water equations on the sphere
    • Williamson D. L., Drake J. B., Hack J. J., Jakob R., Swarztrauber P. N. A standard test set for numerical approximations to the shallow water equations on the sphere. J. Comput. Phys. 102:1992;211.
    • (1992) J. Comput. Phys. , vol.102 , pp. 211
    • Williamson, D.L.1    Drake, J.B.2    Hack, J.J.3    Jakob, R.4    Swarztrauber, P.N.5
  • 37
    • 3743101779 scopus 로고
    • Fully multidimensional flux-corrected transport algorithms for fluids
    • Zalesak S. T. Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys. 31:1979;335.
    • (1979) J. Comput. Phys. , vol.31 , pp. 335
    • Zalesak, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.