A high‐order element‐based Galerkin method for the barotropic vorticity equation Journal Article uri icon



  • AbstractA high‐order element‐based Galerkin method is developed to solve the non‐divergent barotropic vorticity equation (BVE). The solution process involves solving a conservative transport equation for the vorticity fields and a Poisson equation for the stream function fields. The discontinuous Galerkin method is employed for solving the transport equation and a spectral element method (continuous Galerkin) is used for the Poisson equation. A third‐order strong stability preserving explicit Runge–Kutta scheme is used for time integration.A series of tests have been performed to validate the model, which include the evolution of an idealized tropical cyclone and interaction of dual vortices in close proximity. The numerical convergence study is performed by solving the BVE on the sphere where the analytic solution is known. The test results are consistent with physical observations, and the model exhibits exponential convergence. Copyright © 2008 John Wiley & Sons, Ltd.

publication date

  • April 30, 2009

has restriction

  • closed

Date in CU Experts

  • December 9, 2013 9:38 AM

Full Author List

  • Levy MN; Nair RD; Tufo HM

author count

  • 3

Other Profiles

International Standard Serial Number (ISSN)

  • 0271-2091

Electronic International Standard Serial Number (EISSN)

  • 1097-0363

Additional Document Info

start page

  • 1369

end page

  • 1387


  • 59


  • 12