A Fast Cartesian Scheme for Unsteady Heat Diffusion on Irregular Domains

Numerical predictions for stable buoyant regimes within a square cavity containing a heated horizontal cylinder

“…The 2D modelling of arbitrarily irregular boundaries on Cartesian grids is achieved, thanks to the original scheme presented by Barozzi et al [23]. The technique involves a local modification of the computational stencil where boundary segments intersect the stencil arms.…”

Appearance of quasiperiodicity within a period doubling route to chaos of a swaying thermal plume

“…The 2D modelling of arbitrarily irregular boundaries on Cartesian grids is achieved thanks to the original scheme developed in [28]. The technique involves a local modification of the 5-point computational stencil where boundary segments intersect the stencil arms.…”

A distance-function-based Cartesian (DIFCA) grid method for irregular geometries

“…In [23], additional grid points are added to the boundaries. The discretization equations across the boundaries are adjusted non-uniformly using these added grid points so that the discretization equations involve unknowns at the boundaries and from only one of the side of the boundaries.…”