1 / 20

An unstructured mesh model for rotating stratified fluids

An unstructured mesh model for rotating stratified fluids. Joanna Szmelter and Piotr K Smolarkiewicz Loughborough University, UK NCAR, Boulder, Colorado. The edge-based discretisation. Edges. Median dual mesh --- Finite volumes. The edge-based discretisation.

ingrid-brewer
Download Presentation

An unstructured mesh model for rotating stratified fluids

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. An unstructured mesh model for rotating stratified fluids Joanna Szmelter and Piotr K Smolarkiewicz Loughborough University, UK NCAR, Boulder, Colorado

  2. The edge-based discretisation Edges Median dual mesh --- Finite volumes

  3. The edge-based discretisation (MPDATA Smolarkiewicz & Szmelter , J. Comput. Phys. 2005)

  4. Geospherical framework (Szmelter & Smolarkiewicz, J. Comput. Phys. 2010)

  5. Pole treatment Periodic boundaries

  6. A general NFT MPDATA unstructured mesh framework (Smolarkiewicz 91, Smolarkiewicz & Margolin 93; Mon. Weather Rev.) Linear implicit integration preconditioned non-symmetric Krylov-subspace elliptic solver Nonlinear implicit integration (Smolarkiewicz & Szmelter, J. Comput. Phys. 2009)

  7. A shallow water model Zonal orographic flow (Grose&Hoskins; Williamson)

  8. Rossby-Haurwitz Wave 5 days 14 days

  9. A global hydrostatic model isentropic, isosteric/ isopycnic Rotating stratified fluid An Eulerian-Lagrangian form Isentropic model

  10. A stratified 3D mesoscale flow past an isolated hill Reduced planets (Wedi & Smolarkiewicz, QJR 2009)

  11. Global stratified flow past An isolated hill (Smolarkiewicz & Rotunno, J. Atmos. Sci. 1989) (Hunt & Snyder J. Fluid Mech. 1980) 4 hours Fr=2 Fr=1 Fr=0.5

  12. (Smith, Advances in Geophys 1979) (Hunt, Olafsson & Bougeault, QJR 2001)

  13. A local area non-hydrostatic model 3% in wavelength 8% in propagation angle Wave amplitude loss 7% over 7 waveneghts

  14. Computational mesh

  15. Breakdown of a vertically propagating gravity wave (Smolarkiewicz & Margolin, Atmos. Ocean 1997)

  16. Schar Mon. Wea. Rev. 2002 (Wedi & Smolarkiewicz JCP 2003)

  17. Low Froude Flow Past a Steep Three-Dimensional Hill (Smolarkiewicz & Margolin, Atmos. Ocean 1997)

  18. REMARKS Presented work provides means for study and developments of unstructured mesh based schemes for atmospheric flows. Future work: Generalisation of non-hydrostatic edge-based limited area models to global models

More Related