Boundary Conditions for the Psi Equations

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  • 1 CIMMS, University of Oklahoma, Norman, Oklahoma
  • | 2 NOAA/ERL, National Severe Storms Laboratory, Norman, Oklahoma
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Abstract

This paper examines admissible boundary conditions for the quasigeostrophic psi equations that govern ageostrophic motion. Both the essential (Dirichlet-type) and natural (Neumann-type) admissible boundary conditions are derived from the variational formulations of the psi equations. Different ways of extracting the admissible boundary values from observational data are proposed.

Abstract

This paper examines admissible boundary conditions for the quasigeostrophic psi equations that govern ageostrophic motion. Both the essential (Dirichlet-type) and natural (Neumann-type) admissible boundary conditions are derived from the variational formulations of the psi equations. Different ways of extracting the admissible boundary values from observational data are proposed.

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