three-dimensional hydrostatic equations

Details

• Journal Title:
  Geoscientific Model Development
• Personal Author:
  Kärnä, Tuomas ; Kramer, Stephan C. ; Mitchell, Lawrence ; Ham, David A. ; Piggott, Matthew D. ; Baptista, António M.
• NOAA Program & Office:
  NOS (National Ocean Service)
• Description:
  Unstructured grid ocean models are advantageous for simulating the coastal ocean and river–estuary–plume systems. However, unstructured grid models tend to be diffusive and/or computationally expensive, which limits their applicability to real-life problems. In this paper, we describe a novel discontinuous Galerkin (DG) finite element discretization for the hydrostatic equations. The formulation is fully conservative and second-order accurate in space and time. Monotonicity of the advection scheme is ensured by using a strong stability-preserving time integration method and slope limiters. Compared to previous DG models, advantages include a more accurate mode splitting method, revised viscosity formulation, and new second-order time integration scheme. We demonstrate that the model is capable of simulating baroclinic flows in the eddying regime with a suite of test cases. Numerical dissipation is well-controlled, being comparable or lower than in existing state-of-the-art structured grid models.
• Source:
  Geoscientific Model Development, 11(11), 4359-4382
• DOI:
  https://doi.org/10.5194/gmd-11-4359-2018
• Document Type:
  Journal Article
• Funding:
  Grant no. NA11NOS0120036
• License:
  https://creativecommons.org/licenses/by/4.0/
• Rights Information:
  CC BY
• Compliance:
  Library
• Download URL:
  https://repository.library.noaa.gov/view/noaa/51537/noaa_51537_DS1.pdf
• File Type:
  [PDF - 4.67 MB]
• Collection(s):
  National Ocean Service (NOS)
• Main Document Checksum:
  urn:sha256:f61cc51eff33bb5d4e2e72342e44b0a5e69b77db238c599279d2204b920faa34