Simulation of Stratospheric Vortex Erosion Using Three Different Global Shallow Water Numerical Models

References

• Asselin , R. 1972 . Frequency filter for time integrations . Mon. Weather Rev. , 100 : 487 – 490 .
   Web of Science ®Google Scholar
• Bates , J. R. , Li , Y. , Brandt , A. , Mccormick , S. F. and Rugk , J. 1995 . A global shallow-water numerical model based on the semi-Lagrangian advection of potential vorticity . Q. J. R. Meteorol. Soc. , 121 : 1981 – 2005 .
   Web of Science ®Google Scholar
• Bates , J. R. , Li , Y. , Brandt , A. , Mccormick , S. F. , Rugk , J. , Moorthi , S. and Higgins , R. W. 1993 . A global multilevel atmospheric model using a vector semi Lagrangian finite-difference scheme. Part 1: Adiabatic formulation . Mon. Weather Rev. , 121 : 244 – 263 .
   Web of Science ®Google Scholar
• Bates , J. R. , Li , Y. , Brandt , A. , Mccormick , S. F. , Rugk , J. , Semazzi , F. H.M. , Higgins , R. W. and Barros , S. R.M. 1990 . Integration of the shallow water equations on the sphere using a vector semi-Lagrangian scheme with a multigrid solver . Mon. Weather Rev. , 118 : 1615 – 1627 .
   Web of Science ®Google Scholar
• Bourke , W. 1972 . An efficient, one-level, primitive equation spectral model . Mon. Weather Rev. , 100 : 683 – 689 .
   Web of Science ®Google Scholar
• Eliasen , E. , Machenhauer , B. and Rasmussen , E. 1970 . On a numerical method for integration of the hydrodynamical equations with a spectral representation of the horizontal fields , Report No. 2 35 Institute for Theoretical Meteorology, University of Copehagen .
   Google Scholar
• Hack , J. J. and Jakob , R. 1992 . Description of a global shallow water model based on the spectral transform method 39 NCAR Technical Note, NCAR/TN-343+STR .
   Google Scholar
• Jacob , R. , Hack , J. J. and Williamson , D. L . 1993 . Solutions to the shallow water test set using the spectral transform method , NCAR Technical Note, NCAR/TN 388+STR 82
   Google Scholar
• Juckes , M. N. and Mcintyre , M. E. 1987 . A high-resolution one-layer model of breaking planetary waves in the stratosphere . Nature , 328 : 590 – 596 .
   Web of Science ®Google Scholar
• Juckes , M. N. and Mcintyre , M. E. 1989 . A shallow water model of the winter stratosphere . J. Atmos. Sci. , 46 : 2934 – 2955 .
   Web of Science ®Google Scholar
• Mariotti , A. , Legras , B. and Dritschel , D. G. 1994 . Vortex stripping and the erosion of coherent structures in two-dimensional flows . Phys. Fluids , 6 : 3954 – 3962 .
   Web of Science ®Google Scholar
• Mcdonald , A. and Bates , J. R. 1989 . Semi-Lagrangian integration of a gridpoint shallow water model on the sphere . Mon. Weather Rev. , 117 : 130 – 137 .
   Web of Science ®Google Scholar
• Mcintyre , M. E. and Palmer , T. N. 1983 . Breaking planetary waves in the stratosphere . Nature , 305 : 593 – 600 .
   Web of Science ®Google Scholar
• Moorthi , S. and Higgins , R. W. 1993 . Application of fast Fourier transforms to the direct solution of a class of two-dimensional separable elliptic equations on the sphere . Mon. Weather Rev. , 121 : 290 – 296 .
   Web of Science ®Google Scholar
• Norton , W. 1994 . Breaking Rossby waves in a model stratosphere diagnosed by a vortex-following coordinate system and a technique for advecting material contours . J. Atmos. Sci. , 51 : 654 – 673 .
   Web of Science ®Google Scholar
• Orszag , S. A . 1970 . Transform method for the calculation of vector coupled sums: Application to the spectral form of the vorticity equation . J. Atmos. Sci. , 27 : 890 – 895 .
   Web of Science ®Google Scholar
• O'Sullivan , D. and Salby , M. L. 1990 . Coupling of the quasi-biennial oscillation and the extra-tropical circulation in the stratosphere through planetary wave transport . J. Atmos. Sci. , 47 : 650 – 673 .
   Web of Science ®Google Scholar
• Polvani , L. M. and Plumb , R. A. 1992 . Rossby wave breaking, microbreaking, filamentation and secondary vortex formation: The dynamics of a perturbed vortex . J. Atmos. Sci. , 49 : 462 – 476 .
   Web of Science ®Google Scholar
• Polvani , L. M. , Plumb , R. A. , Waugh , D. W. and Plumb , R. A. 1995 . On the subtropical edge of the stratospheric surf zone . J. Atmos. Sci. , 52 : 1288 – 1309 .
   Web of Science ®Google Scholar
• Ruge , J. , Li , Y. , Mccormick , S. F. , Brandt , A. and Bates , J. R. 1996 . “ A nonlinear multigrid solver for a semi-Lagrangian potential vorticity-based shallow water model on the sphere. ” . In SIAM J. Sci. Comput
   Google Scholar
• Salby , M. L. , O'Sullivan , D. , Garcia , R. R. and Callaghan , P. 1990a . Air motion accompanying the development of a planetary wave critical layer . J. Atmos. Sci. , 47 : 1179 – 1204 .
   Web of Science ®Google Scholar
• Salby , M. L. , O'Sullivan , D. , Garcia , R. R. , Callaghan , P. , Garcia , R. R. , O'Sullivan , D. and Callaghan , P. 1990b . J. Atmos. Sci. , 47 : 1647 – 1665 . The interaction of horizontal eddy transport and thermal drive in the stratosphere.
   Web of Science ®Google Scholar
• Salby , M. L. , O'Sullivan , D. , Garcia , R. R. , Callaghan , P. and Tribbia , J. 1990 . Global transport calculations with an equivalent barotropic system . J. Atmos. Sci. , 47 : 188 – 214 .
   Web of Science ®Google Scholar
• Schoeberl , M. R. , Lait , L. R. , Newman , P. A. and Rosenfeield , J. E. 1992 . The structure of the polar vortex . J. Geophys. Res. , 97 ( D8 ) : 7859 – 7882 . No.
   Web of Science ®Google Scholar
• Waugh , D. W. 1993 . Contour surgery simulations of a forced polar vortex . J. Atmos. Sci. , 50 : 714 – 730 .
   Web of Science ®Google Scholar
• Waugh , D. W. and Plumb , R. A. 1994 . Contour advection with surgery: A technique for investigating finescale structure in tracer transport . J. Atmos. Sci. , 51 : 530 – 540 .
   Web of Science ®Google Scholar
• Yoden , S. and Ishioka , K. 1993 . A numerical experiment on the breakdown of a polar vortex due to forced Rossby waves . J. Meteorol. Soc. Jpn. , 71 : 59 – 72 .
   Web of Science ®Google Scholar