메뉴 건너뛰기




Volumn 158, Issue 2, 2000, Pages 186-213

A Semi-implicit Semi-Lagrangian Scheme Using the Height Coordinate for a Nonhydrostatic and Fully Elastic Model of Atmospheric Flows

Author keywords

Height coordinate; Mesoscale models; Semi implicit; Semi Lagrangian; Stratified flows over complex orography

Indexed keywords

ATMOSPHERIC MOVEMENTS;

EID: 0001015141     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6414     Document Type: Article
Times cited : (80)

References (45)
  • 1
    • 0001221191 scopus 로고    scopus 로고
    • Representation of topography by shaved cells in a height coordinate ocean model
    • A. Adcroft, C. Hill, and J. Marshall, Representation of topography by shaved cells in a height coordinate ocean model, Monthly Weather Rev. 125, 2293 (1997).
    • (1997) Monthly Weather Rev. , vol.125 , pp. 2293
    • Adcroft, A.1    Hill, C.2    Marshall, J.3
  • 2
    • 0000016565 scopus 로고    scopus 로고
    • The cost-effectiveness of semi-Lagrangian advection
    • P. Bartello and S. J. Thomas, The cost-effectiveness of semi-Lagrangian advection, Monthly Weather Rev. 124, 2883 (1996).
    • (1996) Monthly Weather Rev. , vol.124 , pp. 2883
    • Bartello, P.1    Thomas, S.J.2
  • 4
    • 0002013319 scopus 로고
    • Semi-implicit finite difference methods for the two-dimensional shallow water equations
    • V. Casulli, Semi-implicit finite difference methods for the two-dimensional shallow water equations, J. Comput. Phys. 86, 56 (1990).
    • (1990) J. Comput. Phys. , vol.86 , pp. 56
    • Casulli, V.1
  • 5
    • 43949154722 scopus 로고
    • Stability, accuracy and efficiency of a semi-implicit method for three-dimensional shallow water flow
    • V. Casulli and E. Cattani, Stability, accuracy and efficiency of a semi-implicit method for three-dimensional shallow water flow, Comput. Math. Appl. 27, 99 (1994).
    • (1994) Comput. Math. Appl. , vol.27 , pp. 99
    • Casulli, V.1    Cattani, E.2
  • 6
    • 0032122325 scopus 로고    scopus 로고
    • Numerical simulation of three-dimensional quasi-hydrostatic, free surface flows
    • V. Casulli and G. S. Stelling, Numerical simulation of three-dimensional quasi-hydrostatic, free surface flows, ASCE J. Hydraulic Eng. 124(7), 678 (1998).
    • (1998) ASCE J. Hydraulic Eng. , vol.124 , Issue.7 , pp. 678
    • Casulli, V.1    Stelling, G.S.2
  • 7
    • 0033618029 scopus 로고    scopus 로고
    • A semi-implicit finite difference method for nonhydrostatic, free surface flow
    • V. Casulli, A semi-implicit finite difference method for nonhydrostatic, free surface flow, Int. J. Numer. Methods Fluids 30(4), 425 (1999).
    • (1999) Int. J. Numer. Methods Fluids , vol.30 , Issue.4 , pp. 425
    • Casulli, V.1
  • 9
    • 0000046192 scopus 로고
    • A test of a semi-implicit integration technique for a fully compressible nonhydrostatic model
    • M. J. P. Cullen, A test of a semi-implicit integration technique for a fully compressible nonhydrostatic model, Quart. J. R. Met. Soc. 116, 1253 (1990).
    • (1990) Quart. J. R. Met. Soc. , vol.116 , pp. 1253
    • Cullen, M.J.P.1
  • 10
    • 21144469298 scopus 로고
    • An efficient non-hydrostatic model
    • B. W. Golding, An efficient non-hydrostatic model, Meteorol. Atmosph. Phys. 50, 89 (1992).
    • (1992) Meteorol. Atmosph. Phys. , vol.50 , pp. 89
    • Golding, B.W.1
  • 11
    • 0001068299 scopus 로고    scopus 로고
    • Sensitivity of internal gravity waves solution to the time step of a semi-implicit semi-Lagrangian nonhydrostatic model
    • P. Hereil and R. Laprise, Sensitivity of internal gravity waves solution to the time step of a semi-implicit semi-Lagrangian nonhydrostatic model, Monthly Weather Rev. 124, 972 (1996).
    • (1996) Monthly Weather Rev. , vol.124 , pp. 972
    • Hereil, P.1    Laprise, R.2
  • 12
    • 0027072880 scopus 로고
    • The non-hydrostatic model GESIMA, Part I
    • H. Kapitza and D. P. Eppel, The non-hydrostatic model GESIMA, Part I, Beitr. Phys. Atmosph. 65(2), 129 (1992).
    • (1992) Beitr. Phys. Atmosph. , vol.65 , Issue.2 , pp. 129
    • Kapitza, H.1    Eppel, D.P.2
  • 13
    • 38249038145 scopus 로고
    • A 3-D Poisson solver based on conjugate gradients compared to standard iterative methods and its performance on vector computers
    • H. Kapitza and D. P. Eppel, A 3-D Poisson solver based on conjugate gradients compared to standard iterative methods and its performance on vector computers, J. Comput. Phys. 68, 474 (1987).
    • (1987) J. Comput. Phys. , vol.68 , pp. 474
    • Kapitza, H.1    Eppel, D.P.2
  • 14
    • 38249029230 scopus 로고
    • Truncated incomplete factorizations for conjugate-gradient methods in two and three dimensions
    • H. Kapitza, Truncated incomplete factorizations for conjugate-gradient methods in two and three dimensions, Appl. Math. Comp. 28, 73 (1988).
    • (1988) Appl. Math. Comp. , vol.28 , pp. 73
    • Kapitza, H.1
  • 15
    • 0017824625 scopus 로고
    • Numerical simulation of hydrostatic mountain waves
    • J. B. Klemp and D. K. Lilly, Numerical simulation of hydrostatic mountain waves, J. Atmosph. Sci. 35, 78 (1978).
    • (1978) J. Atmosph. Sci. , vol.35 , pp. 78
    • Klemp, J.B.1    Lilly, D.K.2
  • 16
    • 84983092849 scopus 로고
    • The simulation of three-dimensional convective storm dynamics
    • J. B. Klemp and R. Wilhelmson, The simulation of three-dimensional convective storm dynamics, J. Atmosph. Sci. 35, 1070 (1978).
    • (1978) J. Atmosph. Sci. , vol.35 , pp. 1070
    • Klemp, J.B.1    Wilhelmson, R.2
  • 17
    • 84980172444 scopus 로고
    • Initial boundary value problems for hyperbolic systems
    • H. O. Kreiss, Initial boundary value problems for hyperbolic systems, Comm. Pure Appl. Math. 22, 277 (1970).
    • (1970) Comm. Pure Appl. Math. , vol.22 , pp. 277
    • Kreiss, H.O.1
  • 19
    • 0024807258 scopus 로고
    • On the structural characteristics of steady state finite amplitude mountain waves over bell-shaped topography
    • R. Laprise and W. R. Peltier, On the structural characteristics of steady state finite amplitude mountain waves over bell-shaped topography, J. Atmosph. Sci. 64, 586 (1989).
    • (1989) J. Atmosph. Sci. , vol.64 , pp. 586
    • Laprise, R.1    Peltier, W.R.2
  • 21
    • 0021535166 scopus 로고
    • Accuracy of multiply upstream, semi-Lagrangian advective schemes
    • A. McDonald, Accuracy of multiply upstream, semi-Lagrangian advective schemes, Monthly Weather Rev. 112, 1267 (1984).
    • (1984) Monthly Weather Rev. , vol.112 , pp. 1267
    • McDonald, A.1
  • 22
    • 0024249870 scopus 로고
    • The step-mountain coordinate: Model description and performance for cases of alpine lee cyclogenesis and for a case of an Appalachian redevelopment
    • F. Mesinger, Z. Janic, S. Nickovic, D. Gavrilov, and D. G. Deaven. The step-mountain coordinate: Model description and performance for cases of alpine lee cyclogenesis and for a case of an Appalachian redevelopment, Monthly Weather Rev. 116, 1493 (1988).
    • (1988) Monthly Weather Rev. , vol.116 , pp. 1493
    • Mesinger, F.1    Janic, Z.2    Nickovic, S.3    Gavrilov, D.4    Deaven, D.G.5
  • 23
    • 0012431627 scopus 로고
    • Lee waves in a stratified flow. Part 1. Thin barrier
    • J. W. Miles, Lee waves in a stratified flow. Part 1. Thin barrier, J. Fluid Mech. 32, 549 (1968).
    • (1968) J. Fluid Mech. , vol.32 , pp. 549
    • Miles, J.W.1
  • 24
    • 84958436438 scopus 로고
    • Lee waves in a stratified flow. Part 2. Semi-circular obstacle
    • J. W. Miles, Lee waves in a stratified flow. Part 2. Semi-circular obstacle, J. Fluid Mech. 33, 803 (1968).
    • (1968) J. Fluid Mech. , vol.33 , pp. 803
    • Miles, J.W.1
  • 25
    • 0013308396 scopus 로고
    • Lee waves in a stratified flow. Part 3. Semielliptical obstacles
    • J. W. Miles and H. E. Huppert, Lee waves in a stratified flow. Part 3. Semielliptical obstacles, J. Fluid Mech. 35, 481 (1969).
    • (1969) J. Fluid Mech. , vol.35 , pp. 481
    • Miles, J.W.1    Huppert, H.E.2
  • 26
    • 0014467879 scopus 로고
    • Lee waves in a stratified flow. Part 4. Perturbation approximations
    • J. W. Miles and H. E. Huppert, Lee waves in a stratified flow. Part 4. Perturbation approximations, J. Fluid Mech. 35, 497 (1969).
    • (1969) J. Fluid Mech. , vol.35 , pp. 497
    • Miles, J.W.1    Huppert, H.E.2
  • 27
    • 0018030846 scopus 로고
    • Theoretical and practical aspects of some initial boundary value problems in fluid dynamics
    • J. Oliger and A. Sundstrom, Theoretical and practical aspects of some initial boundary value problems in fluid dynamics, SIAM J. Appl. Math. 35, 419 (1978).
    • (1978) SIAM J. Appl. Math. , vol.35 , pp. 419
    • Oliger, J.1    Sundstrom, A.2
  • 28
    • 0001544796 scopus 로고
    • Simple tests of a semi-implicit semi-Lagrangian model on 2D mountain wave problems
    • J. P. Pinty, R. Benoit, E. Richard, and R. Laprise, Simple tests of a semi-implicit semi-Lagrangian model on 2D mountain wave problems, Monthly Weather Rev. 123, 3042 (1995).
    • (1995) Monthly Weather Rev. , vol.123 , pp. 3042
    • Pinty, J.P.1    Benoit, R.2    Richard, E.3    Laprise, R.4
  • 30
    • 84983962270 scopus 로고
    • Towards atmospheres without tops
    • P. J. Rasch, Towards atmospheres without tops, Quart. J. R. Met. Soc. 112, 1195 (1986).
    • (1986) Quart. J. R. Met. Soc. , vol.112 , pp. 1195
    • Rasch, P.J.1
  • 31
    • 0028578362 scopus 로고
    • Spurious resonant response of semi-Lagrangian discretizations to orographic forcing
    • C. Rivest, A. Staniforth, and A. Robert, Spurious resonant response of semi-Lagrangian discretizations to orographic forcing, Monthly Weather Rev. 122, 366 (1994).
    • (1994) Monthly Weather Rev. , vol.122 , pp. 366
    • Rivest, C.1    Staniforth, A.2    Robert, A.3
  • 32
    • 0000331118 scopus 로고    scopus 로고
    • Semi-implicit fully compressible version of the MRI mesoscale nonhydrostatic model
    • K. Saito, Semi-implicit fully compressible version of the MRI mesoscale nonhydrostatic model, Geophys. Mag. Ser. 2 2(2), 109 (1997).
    • (1997) Geophys. Mag. Ser. 2 , vol.2 , Issue.2 , pp. 109
    • Saito, K.1
  • 33
    • 0000582962 scopus 로고
    • A global nonhydrostatic semi-Lagrangian atmospheric model without orography
    • F. H. M. Semazzi, J. H. Quian, and J. S. Scroggs, A global nonhydrostatic semi-Lagrangian atmospheric model without orography, Monthly Weather Rev. 123, 2534 (1995).
    • (1995) Monthly Weather Rev. , vol.123 , pp. 2534
    • Semazzi, F.H.M.1    Quian, J.H.2    Scroggs, J.S.3
  • 34
    • 0028668998 scopus 로고
    • Efficiency and accuracy of the Klemp Wilhelmson time splitting scheme
    • W. C. Skamarock and J. B. Klemp, Efficiency and accuracy of the Klemp Wilhelmson time splitting scheme, Monthly Weather Rev. 122, 2623 (1994).
    • (1994) Monthly Weather Rev. , vol.122 , pp. 2623
    • Skamarock, W.C.1    Klemp, J.B.2
  • 35
    • 0001490330 scopus 로고    scopus 로고
    • Preconditioned conjugate gradient solvers for Helmoltz equations in nonhydrostatic models
    • W. C. Skamarock, P. K. Smolarkiewicz, and J. B. Klemp, Preconditioned conjugate gradient solvers for Helmoltz equations in nonhydrostatic models, Monthly Weather Rev. 125, 587 (1997).
    • (1997) Monthly Weather Rev. , vol.125 , pp. 587
    • Skamarock, W.C.1    Smolarkiewicz, P.K.2    Klemp, J.B.3
  • 36
    • 0026291228 scopus 로고
    • Semi-Lagrangian integration schemes for atmospheric models - A review
    • A. Staniforth and J. Coté, Semi-Lagrangian integration schemes for atmospheric models - A review, Monthly Weather Rev. 119, 2206 (1991).
    • (1991) Monthly Weather Rev. , vol.119 , pp. 2206
    • Staniforth, A.1    Coté, J.2
  • 37
    • 0345722802 scopus 로고
    • Developing an integrated atmospheric environment modelling system
    • edited by K. W. Morton and M. J. Baines Clarendon, Oxford
    • A. Staniforth, J. Coté, et al., Developing an integrated atmospheric environment modelling system, in Numerical Methods for Fluid Dynamics V, edited by K. W. Morton and M. J. Baines (Clarendon, Oxford, 1995).
    • (1995) Numerical Methods for Fluid Dynamics V , vol.5
    • Staniforth, A.1    Coté, J.2
  • 41
    • 0001857486 scopus 로고
    • On vertical interpolation and truncation in connexion with use of sigma system models
    • H. Sundqvist, On vertical interpolation and truncation in connexion with use of sigma system models, Atmosphere 14, 37 (1976).
    • (1976) Atmosphere , vol.14 , pp. 37
    • Sundqvist, H.1
  • 42
    • 0025659039 scopus 로고
    • A semi-implicit, semi-Lagrangian fully compressible regional forecast model
    • M. Tanguay, A. Robert, and R. Laprise, A semi-implicit, semi-Lagrangian fully compressible regional forecast model, Monthly Weather Rev. 118, 1970 (1990).
    • (1990) Monthly Weather Rev. , vol.118 , pp. 1970
    • Tanguay, M.1    Robert, A.2    Laprise, R.3
  • 43
    • 84981642671 scopus 로고
    • A non-hydrostatic mesoscale model
    • M. C. Tapp and P. W. White, A non-hydrostatic mesoscale model, Quart. J. R. Met. Soc. 102, 277 (1976).
    • (1976) Quart. J. R. Met. Soc. , vol.102 , pp. 277
    • Tapp, M.C.1    White, P.W.2
  • 44
    • 0023470250 scopus 로고
    • An efficient two-time-level semi-Lagrangian semi-implicit integration scheme
    • C. Temperton and A. Staniforth, An efficient two-time-level semi-Lagrangian semi-implicit integration scheme, Quart. J. R. Meteor. Soc. 113, 1025 (1987).
    • (1987) Quart. J. R. Meteor. Soc. , vol.113 , pp. 1025
    • Temperton, C.1    Staniforth, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.