Topics of Interest

  1. Advection schemes: monotone advection schemes, TVD methods, flux correction methods, and Eulerian and semi-Lagrangian methods applied to three dimensional baroclinic equations, two dimensional shallow water equations, and pure transport in spherical geometry and/or plane geometry.
  2. Discretization methods and adaptive grids: spectral transform methods, gridpoint methods using polyhedral grid systems such as icosahedral and cubed-sphere systems as well as the latitude longitude grids, spectral element methods, discontinuous Galerkin methods, and alternative discretizations on regular and unstructured adaptive grids.
  3. Comparison study of methods: the presentation of results from current or new methods, and the comparison of these methods with standard schemes.
  4. Computational performance: the performance of current methods of choice and new methods on parallel computers, including limitations associated with algorithm and computer design are appreciated; implementation details for distributed and shared memory architectures as well as discussion of attendant difficulties are of interest; characteristics for parallel computers that may affect computational algorithms, in particular, future design aspects could be considered as they might affect algorithm implementation.
  5. Global hydrostatic and non-hydrostatic models: the development of global models based on the hydrostatic and non-hydrostatic equations; now that recent computer facilities enable us to perform very high-resolution simulation over the globe, we are in a period of transition of the choice of the equations system.
  6. Discussion and proposal of test cases: the development and evaluation of new test methods, in particular, the potential ability of test cases to evaluate dynamical cores of atmospheric and ocean general circulation models; summaries of experiences with existing test cases, including what has been learned and what can be learned from such tests, and the introduction of additional test cases and experiences with them.
  7. DCMIP [] (Dynamical Core Model Intercomparison Project): at the PDEs workshop there will be a session on the DCMIP test case suite lead by Prof. C. Jablonowski (University of Michigan, Ann Arbor).