An enhanced non-oscillatory BFECC algorithm for finite element solution of advective transport problems

In this paper, the so-called “back and forth error compensation correction (BFECC)” methodology is utilized to improve solvers developed for advection equation. Strict obedience “discrete maximum principle” enforced by incorporating a gradient-based limiter into BFECC algorithm. The accuracy of algorithm in capturing steep-fronts hyperbolic scalar-transport problems improved introducing controlled anti-diffusivity. This achieved at cost performing an additional backward sub-solution-step modifying formulation accordingly. performance proposed assessed solving series benchmarks utilizing different combinations algorithms underlying numerical schemes. Results are presented both structured unstructured meshes.