ppm_reconstruction_left_edge

Family: finite_volume
Grid family: cartesian
Kind: scheme
Accuracy: O(dx^4)
Applies to: q_left_edge($q), dim=$x
Rule file: discretizations/finite_volume/ppm_reconstruction_left_edge.json

This page is auto-generated from the rule's JSON by tools/render_doc_plots.py. The discrete operator below is pretty-printed directly from the rule's replacement AST using EarthSciSerialization (earthsci_toolkit). Rules with a hand-authored page carry richer prose plus stencil and convergence diagrams; see the curated entries linked from the rule index.

Pattern

Matches the §4.2 operator q_left_edge on the pattern q_left_edge($q), dim=$x for grid family cartesian.

Discrete operator

Pretty-printed from the rule’s replacement AST ($-prefixed names are pattern variables bound by applies_to; grid metrics such as dx/dz are resolved by the grid):

out[$x] = (−1·index($q, $x − 2) + 7·index($q, $x − 1))/12

Source: discretizations/finite_volume/ppm_reconstruction_left_edge.json.