latitude bounds derivations
- latitude ranges from midpoints - symbol - description - unit - variable name - \(\phi(i)\) - latitude - \(degN\) - latitude {:,latitude} - \(\phi^{B}(i,l)\) - latitude boundaries (\(l \in \{1,2\}\)) - \(degN\) - latitude_bounds {:,latitude,2} - The pattern : for the dimensions can represent {time}, or no dimension at all. \begin{eqnarray} \phi^{B}(1,1) & = & \frac{3\phi(1) - \phi(2)}{2} \\ \phi^{B}(i,1) & = & \frac{\phi(i-1) + \phi(i)}{2}, 1 < i \leq N \\ \phi^{B}(i,2) & = & \phi^{B}(i+1,1), 1 \leq i < N \\ \phi^{B}(N,2) & = & \frac{3\phi(N) - \phi(N-1)}{2} \end{eqnarray}- This formula applies if the harp option - regrid_out_of_boundsis set to- nanor to- extrapolate. If the option is set to- edgethen the first and last boundary value are set to the midpoints (\(\phi^{B}(1,1) = \phi(1)\), \(\phi^{B}(N,2) = \phi(N)\)).- Note that all latitude values will always be clamped to the range \([-90,90]\).