altitude bounds derivations
- altitude ranges from midpoints - symbol - description - unit - variable name - \(z(i)\) - altitude - \(m\) - altitude {:,vertical} - \(z^{B}(i,l)\) - altitude boundaries (\(l \in \{1,2\}\)) - \(m\) - altitude_bounds {:,vertical,2} - The pattern : for the dimensions can represent {time}, or no dimension at all. \begin{eqnarray} z^{B}(1,1) & = & \frac{3z(1) - z(2)}{2} \\ z^{B}(i,1) & = & \frac{z(i-1) + z(i)}{2}, 1 < i \leq N \\ z^{B}(i,2) & = & z^{B}(i+1,1), 1 \leq i < N \\ z^{B}(N,2) & = & \frac{3z(N) - z(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 (\(z^{B}(1,1) = z(1)\), \(z^{B}(N,2) = z(N)\)).