Flux-Corrected Transport
Principles, Algorithms, and Applications
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Beschreibung
Many modern high-resolution schemes for Computational Fluid Dynamics trace their origins to the Flux-Corrected Transport (FCT) paradigm. FCT maintains monotonicity using a nonoscillatory low-order scheme to determine the bounds for a constrained high-order approximation. This book begins with historical notes by J.P. Boris and D.L. Book who invented FCT in the early 1970s. The chapters that follow describe the design of fully multidimensional FCT algorithms for structured and unstructured grids, limiting for systems of conservation laws, and the use of FCT as an implicit subgrid scale model. The second edition presents 200 pages of additional material. The main highlights of the three new chapters include: FCT-constrained interpolation for Arbitrary Lagrangian-Eulerian methods, an optimization-based approach to flux correction, and FCT simulations of high-speed flows on overset grids. Addressing students and researchers, as well as CFD practitioners, the book is focused on computational aspects and contains many numerical examples.
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.
Offers a step-by-step guide to numerical simulations of complex transport phenomena Provides an in-depth presentation of modern FCT algorithms and underlying design criteria Publishes as the second edition of a successful volume, now with new generalizations supported by mathematical theory and physical principles As a self-contained text it is aimed at readers with diverse backgrounds and research interests Includes supplementary material: sn.pub/extras
Autor*in
Dmitri Kuzmin
Themen in »Flux-Corrected Transport«
Acceleration Explicit Solvers Algebraic flux correction Finite Elements Computational Fluid Dynamics Convection Dominated Flows Flux Corrected Interpolation Remapping Flux Corrected Transport High Resolution Schemes Hyperbolic Conservation Laws Implicit Subgrid Scale Model for Large Eddy Simulations Turbulence Model fluid- and aerodynamics