Finite-Volume
- divergence_arakawa_c
finite_volume
arakawa
scheme
O(h²)
Two-point centered finite-volume divergence on a C-grid — F_x at face_x, F_y at face_y, divergence emitted at cell_center.
- ppm_reconstruction
finite_volume
cartesian
scheme
O(dx³)
Piecewise-parabolic method (Colella & Woodward 1984) — 4th-order edge values + a parabola per cell, no limiter.
- weno5_advection
finite_volume
cartesian
scheme
O(dx⁵)
Jiang–Shu 5th-order WENO reconstruction — three sub-stencils, smoothness indicators, nonlinear weights.
- weno5_advection_2d
finite_volume
cartesian
scheme
O(h⁵) per axis
Dimension-by-dimension Jiang–Shu WENO5 reconstruction on a 2D structured uniform Cartesian grid.