A nonhydrostatic unstructured-mesh soundproof model for simulation of internal gravity waves

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• 作者：Piotr K. Smolarkiewicz (1)
  Joanna Szmelter (2)
  
• 关键词：unstructured mesh models ; nonoscillatory forward ; in ; time schemes ; atmospheric models ; soundproof equations ; mountain waves
• 刊名：Acta Geophysica
• 出版年：2011
• 出版时间：December 2011
• 年：2011
• 卷：59
• 期：6
• 页码：1109-1134
• 全文大小：2784KB
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• 作者单位：Piotr K. Smolarkiewicz (1)
  Joanna Szmelter (2)
  
  1. National Center for Atmospheric Research, Boulder, CO, USA
  2. Loughborough University, Leicestershire, UK
  
• ISSN：1895-7455

文摘

A semi-implicit edge-based unstructured-mesh model is developed that integrates nonhydrostatic soundproof equations, inclusive of anelastic and pseudo-incompressible systems of partial differential equations. The model builds on nonoscillatory forward-in-time MPDATA approach using finite-volume discretization and unstructured meshes with arbitrarily shaped cells. Implicit treatment of gravity waves benefits both accuracy and stability of the model. The unstructured-mesh solutions are compared to equivalent structured-grid results for intricate, multiscale internal-wave phenomenon of a non-Boussinesq amplification and breaking of deep stratospheric gravity waves. The departures of the anelastic and pseudoincompressible results are quantified in reference to a recent asymptotic theory [Achatz et al. 2010, J. Fluid Mech., 663, 120-47)].