Addressing students and researchers as well as Computational Fluid
Dynamics practitioners, this book is the most comprehensive review of
high-resolution schemes based on the principle of Flux-Corrected
Transport (FCT). The foreword by J.P. Boris and historical note by D.L.
Book describe the development of the classical FCT methodology for
convection-dominated transport problems, while the design philosophy
behind modern FCT schemes is explained by S.T. Zalesak. The subsequent
chapters present various improvements and generalizations proposed over
the past three decades.
In this new edition, recent results are integrated into existing
chapters in order to describe significant advances since the publication
of the first edition. Also, 3 new chapters were added in order to cover
the following topics: algebraic flux correction for finite elements,
iterative and linearized FCT schemes, TVD-like flux limiters,
acceleration of explicit and implicit solvers, mesh adaptation, failsafe
limiting for systems of conservation laws, flux-corrected interpolation
(remapping), positivity preservation in RANS turbulence models, and the
use of FCT as an implicit subgrid scale model for large eddy
simulations.