Vertical
- centered_2nd_deriv_nonuniform_vertical
finite_difference
vertical
scheme
O(dz_k^2)
Auto-generated catalog entry for the centered_2nd_deriv_nonuniform_vertical rule (finite_difference, grid family vertical). The discrete operator is pretty-printed directly from the rule's replacement AST.
- centered_2nd_deriv_uniform_vertical
finite_difference
vertical
scheme
O(dz^2)
Auto-generated catalog entry for the centered_2nd_deriv_uniform_vertical rule (finite_difference, grid family vertical). The discrete operator is pretty-printed directly from the rule's replacement AST.
- centered_2nd_nonuniform_vertical
finite_difference
vertical
scheme
O(dz_k^2)
Auto-generated catalog entry for the centered_2nd_nonuniform_vertical rule (finite_difference, grid family vertical). The discrete operator is pretty-printed directly from the rule's replacement AST.
- centered_2nd_uniform_vertical
finite_difference
vertical
scheme
O(h²)
Two-point centered second-order finite difference for ∂u/∂k on a uniformly-spaced vertical axis.
- centered_4th_uniform_vertical
finite_difference
vertical
scheme
O(h^4)
Auto-generated catalog entry for the centered_4th_uniform_vertical rule (finite_difference, grid family vertical). The discrete operator is pretty-printed directly from the rule's replacement AST.
- centered_6th_uniform_vertical
finite_difference
vertical
scheme
O(h^6)
Auto-generated catalog entry for the centered_6th_uniform_vertical rule (finite_difference, grid family vertical). The discrete operator is pretty-printed directly from the rule's replacement AST.
- centered_8th_uniform_vertical
finite_difference
vertical
scheme
O(h^8)
Auto-generated catalog entry for the centered_8th_uniform_vertical rule (finite_difference, grid family vertical). The discrete operator is pretty-printed directly from the rule's replacement AST.
- upwind_1st_vertical
finite_difference
vertical
scheme
O(h)
Auto-generated catalog entry for the upwind_1st_vertical rule (finite_difference, grid family vertical). The discrete operator is pretty-printed directly from the rule's replacement AST.
- Vertical
vertical
grid
1D vertical column with arbitrary level spacing — sigma / eta / z / theta / hybrid / z_star coordinates.
- vertical_remap
finite_volume
vertical
scheme
O(dp^3) interior; O(dp) within two cells of the column top/bottom and at active CW84 limiter constraints
Conservative PPM vertical remap (Lin 2004) of a cell-averaged scalar from one set of vertical layer thicknesses to another: 4th-order CW84 edge interpolation + Colella–Woodward (1984) §4 monotonicity limiter + exact integration of the sub-grid parabola over the cumulative-pressure overlap. Documentation-only — deferred to a future ESS phase-hook RFC.