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Volumn 4, Issue 1, 2008, Pages 26-55

A fourth order numerical method for the primtive equations formulated in mean vorticity

Author keywords

Compact scheme; Large scale oceanic circulation; Long stencil approximation; Mean vorticity; One sided extrapolation; The primitive equations

Indexed keywords


EID: 47049108396     PISSN: 18152406     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (34)
  • 1
    • 0030670795 scopus 로고    scopus 로고
    • The dynamics of an equivalent-barotropic model of the wind driven circulation
    • P. Berloff and S. Meacham, The dynamics of an equivalent-barotropic model of the wind driven circulation, J. Mar. Res. 55 (1997), 523-563.
    • (1997) J. Mar. Res , vol.55 , pp. 523-563
    • Berloff, P.1    Meacham, S.2
  • 4
    • 84959605141 scopus 로고
    • A numerical study of laminar separation bubbles using the Navier-Stokes equations
    • W. Briley, A numerical study of laminar separation bubbles using the Navier-Stokes equations, J. Fluid Mech. 47 (1971), 713-736.
    • (1971) J. Fluid Mech , vol.47 , pp. 713-736
    • Briley, W.1
  • 5
    • 0000137468 scopus 로고
    • A numerical investigation of a nonlinear model of wind-driven ocean
    • K. Bryan, A numerical investigation of a nonlinear model of wind-driven ocean, J. Atmos. Sci. 20 (1963), 594-606.
    • (1963) J. Atmos. Sci , vol.20 , pp. 594-606
    • Bryan, K.1
  • 6
    • 36348955539 scopus 로고    scopus 로고
    • Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
    • C. S. Cao and E. S. Titi, Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics, Ann. Math. 166 (2007), 245-267.
    • (2007) Ann. Math , vol.166 , pp. 245-267
    • Cao, C.S.1    Titi, E.S.2
  • 7
    • 0002931588 scopus 로고
    • The dynamics of long waves in a baroclinic westerly current
    • J.G. Charney, The dynamics of long waves in a baroclinic westerly current, J. Meteorol. 4 (1947), 135-163.
    • (1947) J. Meteorol , vol.4 , pp. 135-163
    • Charney, J.G.1
  • 9
    • 0001694858 scopus 로고
    • Numerical integration of the barotropic vorticity equation
    • J.G. Charney, R. Fjørtaft, and J. Von Neumann, Numerical integration of the barotropic vorticity equation, Tellus, 2 (1950), 237-254.
    • (1950) Tellus , vol.2 , pp. 237-254
    • Charney, J.G.1    Fjørtaft, R.2    Von Neumann, J.3
  • 10
    • 50149118562 scopus 로고    scopus 로고
    • B. Cushman-Roisin, Introduction to geophysical fluid dynamics, Prentice Hall, New-Jersy, 1996.
    • B. Cushman-Roisin, Introduction to geophysical fluid dynamics, Prentice Hall, New-Jersy, 1996.
  • 11
    • 0027532792 scopus 로고    scopus 로고
    • J. K. Dukowicz and R. D. Smith, A reformulation and implementation of Bryan-Cox-Semtner ocean model on the connection machine, J. of Atmos. Oceanic Tech 10 (1993), 195-208.
    • J. K. Dukowicz and R. D. Smith, A reformulation and implementation of Bryan-Cox-Semtner ocean model on the connection machine, J. of Atmos. Oceanic Tech 10 (1993), 195-208.
  • 12
    • 0030584561 scopus 로고    scopus 로고
    • Essentially compact schemes for unsteady viscous incompressible flows
    • W E and J.-G. Liu, Essentially compact schemes for unsteady viscous incompressible flows, J. Comput. Phys. 124 (1996), 368-382.
    • (1996) J. Comput. Phys , vol.124 , pp. 368-382
    • Weinan, E.1    Liu, J.-G.2
  • 13
    • 0035635336 scopus 로고    scopus 로고
    • Simple finite element method in vorticity formulation for incompressible flow
    • W. E and J.-G. Liu, Simple finite element method in vorticity formulation for incompressible flow, Math. Comp. 70 (2001), 579-593.
    • (2001) Math. Comp , vol.70 , pp. 579-593
    • Weinan, E.1    Liu, J.-G.2
  • 15
    • 0001587672 scopus 로고
    • The role of mesoscale eddies in the general circulation of the ocean
    • W. R. Holland, The role of mesoscale eddies in the general circulation of the ocean, J. Phys. Oceanogr. 8 (1978), 363-392.
    • (1978) J. Phys. Oceanogr , vol.8 , pp. 363-392
    • Holland, W.R.1
  • 16
    • 0035994821 scopus 로고    scopus 로고
    • C. Hu, R. Temam, and M. Ziane, Regularity results for GFD-Stokes problem and some related linear elliptic PDEs in primitive equations, Chinese Ann. of Math (CAM), Ser. B 23 (2002), 277-297.
    • C. Hu, R. Temam, and M. Ziane, Regularity results for GFD-Stokes problem and some related linear elliptic PDEs in primitive equations, Chinese Ann. of Math (CAM), Ser. B 23 (2002), 277-297.
  • 17
    • 0037259432 scopus 로고    scopus 로고
    • C. Hu, R. Temam, and M. Ziane, The primitive equations on the large scale ocean under the small depth hypothesis, Discrete Contin. Dyn. Syst.-Ser, A 9 (2003), 97-131.
    • C. Hu, R. Temam, and M. Ziane, The primitive equations on the large scale ocean under the small depth hypothesis, Discrete Contin. Dyn. Syst.-Ser, A 9 (2003), 97-131.
  • 18
    • 0000260611 scopus 로고
    • New formulations of the primitive equations of the atmosphere and applications
    • J. L. Lions, R. Temam, and S. Wang, New formulations of the primitive equations of the atmosphere and applications, Nonlinearity 5 (1992), 237-288.
    • (1992) Nonlinearity , vol.5 , pp. 237-288
    • Lions, J.L.1    Temam, R.2    Wang, S.3
  • 19
    • 0001322085 scopus 로고
    • On the equations of large-scale ocean
    • J. L. Lions, R. Temam, and S. Wang, On the equations of large-scale ocean, Nonlinearity 5 (1992), 1007-1053.
    • (1992) Nonlinearity , vol.5 , pp. 1007-1053
    • Lions, J.L.1    Temam, R.2    Wang, S.3
  • 21
    • 0027388943 scopus 로고
    • Numerical analysis of the coupled atmosphere and ocean models (CAOII)
    • J. L. Lions, R. Temam, and S. Wang, Numerical analysis of the coupled atmosphere and ocean models (CAOII), Computational Mechanics Advance 1 (1993), 55-120.
    • (1993) Computational Mechanics Advance , vol.1 , pp. 55-120
    • Lions, J.L.1    Temam, R.2    Wang, S.3
  • 22
    • 0000603572 scopus 로고
    • Mathematical problems of the coupled models of atmosphere and ocean (CAOIII), Math
    • J. L. Lions, R. Temam, and S. Wang, Mathematical problems of the coupled models of atmosphere and ocean (CAOIII), Math. Pures et Appl. 73 (1995), 105-163.
    • (1995) Pures et Appl , vol.73 , pp. 105-163
    • Lions, J.L.1    Temam, R.2    Wang, S.3
  • 26
    • 3242667000 scopus 로고    scopus 로고
    • Surface pressure poisson equation formulation of the primitive equations: Numerical schemes
    • R. Samelson, R. Temam, C. Wang, and S. Wang, Surface pressure poisson equation formulation of the primitive equations: Numerical schemes, SIAM J. Numer. Anal. 41 (2003), 1163-1194.
    • (2003) SIAM J. Numer. Anal , vol.41 , pp. 1163-1194
    • Samelson, R.1    Temam, R.2    Wang, C.3    Wang, S.4
  • 27
    • 0042725440 scopus 로고    scopus 로고
    • A fast and accurate numerical scheme for the primitive equations of the atmosphere
    • J. Shen and S. Wang, A fast and accurate numerical scheme for the primitive equations of the atmosphere, SIAM J. Numer. Anal. 36 (1999), 719-737.
    • (1999) SIAM J. Numer. Anal , vol.36 , pp. 719-737
    • Shen, J.1    Wang, S.2
  • 28
    • 0141637397 scopus 로고    scopus 로고
    • Low-frequency variability in shallow-water models of the wind-driven ocean circulation (I): Steady-state solution
    • E. Simonnet, M. Ghil, K. Ide, R. Temam, and S. Wang, Low-frequency variability in shallow-water models of the wind-driven ocean circulation (I): Steady-state solution, J. Phys. Oceanogr. 33 (2003), 712-728.
    • (2003) J. Phys. Oceanogr , vol.33 , pp. 712-728
    • Simonnet, E.1    Ghil, M.2    Ide, K.3    Temam, R.4    Wang, S.5
  • 29
    • 0141526321 scopus 로고    scopus 로고
    • Low-frequency variability in shallow-water models of the wind-driven ocean circulation (II): Time-dependent solutions
    • E. Simonnet, M. Ghil, K. Ide, R. Temam, and S. Wang, Low-frequency variability in shallow-water models of the wind-driven ocean circulation (II): Time-dependent solutions, J. Phys. Oceanogr. 33 (2003), 729-752.
    • (2003) J. Phys. Oceanogr , vol.33 , pp. 729-752
    • Simonnet, E.1    Ghil, M.2    Ide, K.3    Temam, R.4    Wang, S.5
  • 30
    • 44049110107 scopus 로고
    • Parallel ocean general circulation modeling
    • R. D. Smith, J. K. Dukowicz, and R. C. Malone, Parallel ocean general circulation modeling, Physica D 60 (1992), 38-61.
    • (1992) Physica D , vol.60 , pp. 38-61
    • Smith, R.D.1    Dukowicz, J.K.2    Malone, R.C.3
  • 31
    • 0042741520 scopus 로고
    • Interannual variability of the mid-latitude oceans: A new source of climate variability?, Sistema
    • S. Speich and M. Ghil, Interannual variability of the mid-latitude oceans: a new source of climate variability?, Sistema Terra 3(3) (1994), 33-35.
    • (1994) Terra , vol.3 , Issue.3 , pp. 33-35
    • Speich, S.1    Ghil, M.2
  • 33
    • 50149113462 scopus 로고    scopus 로고
    • C. Wang, The primitive equations formulated in mean vorticity, Discrete Contin. Dyn. Syst.Proceeding of International Conference on Dynamical Systems and Differential Equations B4 (2002), 880-887.
    • C. Wang, The primitive equations formulated in mean vorticity, Discrete Contin. Dyn. Syst.Proceeding of "International Conference on Dynamical Systems and Differential Equations" B4 (2002), 880-887.
  • 34
    • 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), 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.