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OverviewChristoph Lohmann introduces a very general framework for the analysis and design of bound-preserving finite element methods. The results of his in-depth theoretical investigations lead to promising new extensions and modifications of existing algebraic flux correction schemes. The main focus is on new limiting techniques designed to control the range of solution values for advected scalar quantities or the eigenvalue range of symmetric tensors. The author performs a detailed case study for the Folgar-Tucker model of fiber orientation dynamics. Using eigenvalue range preserving limiters and admissible closure approximations, he develops a physics-compatible numerical algorithm for this model. Full Product DetailsAuthor: Christoph LohmannPublisher: Springer Fachmedien Wiesbaden Imprint: Springer Spektrum Edition: 1st ed. 2019 Weight: 0.454kg ISBN: 9783658277369ISBN 10: 365827736 Pages: 283 Publication Date: 17 October 2019 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsEquations of Fluid Dynamics.- Finite Element Discretization.- Limiting for Scalars.- Limiting for Tensors.- Simulation of Fiber Suspensions.ReviewsAuthor InformationChristoph Lohmann is a postdoctoral researcher in the Department of Mathematics at TU Dortmund University. His research activities are focused on numerical analysis of finite element methods satisfying discrete maximum principles. Tab Content 6Author Website:Countries AvailableAll regions |
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