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Sigma Coordinate Pressure Gradient Errors and the Seamount Problem
Journal of Atmospheric and Oceanic Technology
In a recent paper by Mellor et al., it was found that, in two-dimensional (x, z) applications with finite horizontal viscosity and zero diffusivity, the velocity error, associated with the evaluation of horizontal density or pressure gradients on a sigma coordinate grid, prognostically disappeared, leaving behind a small and physically insignificant distortion in the density field. The initial error is numerically consistent in that it decreases as the square of the grid increment size. In thisdoi:10.1175/1520-0426(1998)015<1122:scpgea>2.0.co;2 fatcat:kl5tri7vejhdjgt5rlyy4aungq