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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.

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An unstructured mesh model for rotating stratified fluids

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  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

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