• Corpus ID: 208268015

Green's function of the screened Poisson's equation on the sphere

@article{Tanios2019GreensFO,
  title={Green's function of the screened Poisson's equation on the sphere},
  author={Ramy Tanios and Samah El Mohtar and Omar M. Knio and Issam Lakkis},
  journal={ArXiv},
  year={2019},
  volume={abs/1911.10944}
}
In geophysical fluid dynamics, the screened Poisson equation appears in the shallow-water, quasi geostrophic equations. Recently, many attempts have been made to solve those equations on the sphere using different numerical methods. These include vortex methods, which solve a Poisson equation to compute the stream-function from the (relative) vorticity. Alternatively, the stream-function can be computed directly from potential vorticity (PV), which would offer the possibility of constructing… 

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