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Original Articles

An exact steadily rotating surface quasi-geostrophic elliptical vortex

Pages 368-376 | Received 10 Feb 2010, Accepted 03 Apr 2010, Published online: 06 Nov 2010

References

  • Carton , X . 2009 . Instability of surface quasigeostrophic vortices . J. Atmos. Sci. , 66 : 1051 – 1062 .
  • Dritschel , DG . 1986 . The nonlinear evolution of rotating configurations of uniform vorticity . J. Fluid Mech. , 172 : 157 – 182 .
  • Dritschel , DG . 1988 . Contour surgery: a topological reconnection scheme for extended integrations using contour dynamics . J. Comput. Phys. , 77 : 240 – 266 .
  • Dritschel , DG and Ambaum , MHP . 1997 . A contour-advective semi-Lagrangian algorithm for the simulation of fine-scale conservative dynamical fields . Quart. J. Roy. Meteorol. Soc. , 123 : 1097 – 1130 .
  • Dritschel , DG , Reinaud , JN and McKiver , WJ . 2004 . The quasi-geostrophic ellipsoidal vortex model . J. Fluid Mech. , 505 : 201 – 223 .
  • Dritschel , DG and Saravanan , R . 1994 . Three-dimensional quasi-geostrophic contour dynamics, with an application to stratospheric vortex dynamics . Quart. J. Roy. Meteorol. Soc. , 120 : 1267 – 1297 .
  • Dritschel , DG and Scott , RK . 2009 . On the simulation of nearly inviscid two-dimensional turbulence . J. Comput. Phys. , 228 : 2707 – 2711 .
  • Dritschel , DG , Scott , RK and Reinaud , JN . 2005 . The stability of quasi-geostrophic ellipsoidal vortices . J. Fluid Mech. , 536 : 401 – 421 .
  • Fontane , J and Dritschel , DG . 2009 . The HyperCASL Algorithm: a new approach to the numerical simulation of geophysical flows . J. Comput. Phys. , 228 : 6411 – 6425 .
  • Hakim , GJ , Snyder , C and Muraki , DJ . 2002 . A new model for cyclone-anticyclone asymmetry . J. Atmos. Sci. , 59 : 2405 – 2420 .
  • Harvey , BJ and Ambaum , MHP . 2010 . Perturbed Rankine vortices in surface quasi-geostrophic dynamics . Geophys. Astrophys. Fluid Dyn. , doi: 10.1080/03091921003694719
  • Hashimoto , H , Shimonishi , T and Miyazaki , T . 1999 . Quasigeostrophic ellipsoidal vortices in a two-dimensional strain field . J. Phys. Soc. Japan , 68 : 3863 – 3880 .
  • Held , IM , Pierrehumbert , RT , Garner , ST and Swanson , KL . 1995 . Surface quasi-geostrophic dynamics . J. Fluid Mech. , 282 : 1 – 20 .
  • Juckes , M . 1994 . Quasi-geostrophic dynamics of the tropopause . J. Atmos. Sci. , 51 : 2756 – 2768 .
  • Kida , S . 1981 . Motion of an elliptic vortex in a uniform shear flow . J. Phys. Soc. Japan , 50 : 3517 – 3520 .
  • Lapeyre , G and Klein , P . 2006 . Dynamics of the upper oceanic layers in terms of surface quasigeostrophy theory . J. Phys. Oceanogr. , 36 : 165 – 176 .
  • Lim , C and Majda , A . 2001 . Point vortex dynamics for coupled surface/interior QG and propagating heton clusters in models for ocean convection . Geophys. Astrophys. Fluid Dyn. , 94 : 177 – 220 .
  • Love , AEH . 1893 . On the stability of certain vortex motions . Proc. Lond. Math. Soc. , 25 : 18 – 42 .
  • McKiver , WJ and Dritschel , DG . 2003 . The motion of a fluid ellipsoid in a general linear background flow . J. Fluid Mech. , 474 : 147 – 173 .
  • McKiver , WJ and Dritschel , DG . 2006 . The stability of an ellipsoidal vortex in a background shear flow . J. Fluid Mech. , 560 : 1 – 17 .
  • Meacham , SP . 1992 . Quasigeostrophic, ellipsoidal vortices in a stratified fluid . Dyn. Atmos. Oceans , 16 : 189 – 223 .
  • Meacham , SP , Morrison , PJ and Flierl , GR . 1997 . Hamiltonian moment reduction for describing vortices in shear . Phys. Fluids , 9 : 2310 – 2328 .
  • Meacham , SP , Pankratov , KK , Shchepetkin , AF and Zhmur , VV . 1994 . The interaction of ellipsoidal vortices with background shear flows in a stratified fluid . Dyn. Atmos. Oceans , 21 : 167 – 212 .
  • Perrot , X , Reinaud , JN , Carton , X and Dritschel , DG . 2010 . Homostrophic vortex interaction under external strain, in a coupled QG-SQG model . Reg. Chaotic Dyn. , 15 : 66 – 83 .
  • Scott , RK . 2006 . Local and nonlocal advection of a passive scalar . Phys. Fluids , 18 : 116601
  • Sukhatme , J and Pierrehumbert , RT . 2002 . Surface quasi-geostrophic turbulence: the study of an active scalar . Chaos , 12 : 439 – 450 .
  • Zhmur , VV and Shchepetkin , AF . 1991 . Evolution of an ellipsoidal vortex in a stratified ocean: survivability of the vortex in flow with vertical shear . Izv. Akad. Nauk. SSSR Phys. Atmos. Ocean. , 27 : 492 – 503 .

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