Abstract
Flux-Corrected Transport (FCT) algorithms have been implemented on an adaptively refined Cartesian mesh. The adaptive mesh is organized with a Fully Threaded Tree, which is a compact and fast data structure. We investigate the behavior of FCT at a mesh-refinement boundary where neighboring cell sizes differ by a factor of two. This reveals that a linear interpolation for the convective flux of FCT improves the accuracy. Numerical tests show that FCT captures a sharp gradient and generates no spurious wave at a mesh-refinement boundary. We also present a computational result with the solution adaptive technique.
