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Unstructured Mesh Model for Rotating Stratified Fluids: Advances in Atmospheric Flow Simulation

This study presents an innovative unstructured mesh model for simulating rotating stratified fluids, developed by Joanna Szmelter and Piotr K. Smolarkiewicz at Loughborough University and NCAR. Utilizing edge-based discretization with finite volume methods, the model incorporates a geospherical framework for enhanced accuracy. Key features include nonlinear implicit integration, a shallow water model, and advanced solvers for complex mesoscale flows. This work lays the foundation for future research on global applications of non-hydrostatic models in atmospheric dynamics.

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Unstructured Mesh Model for Rotating Stratified Fluids: Advances in Atmospheric Flow Simulation

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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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