Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems

Christoph Lohmann (Autor)

Buch | Softcover

XII, 283 Seiten

2019 | 1st ed. 2019
Springer Fachmedien Wiesbaden GmbH (Verlag)
978-3-658-27736-9 (ISBN)

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Christoph 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.

Christoph 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.

Equations of Fluid Dynamics.- Finite Element Discretization.- Limiting for Scalars.- Limiting for Tensors.- Simulation of Fiber Suspensions.

Erscheinungsdatum	18.10.2019
Zusatzinfo	XII, 283 p. 1 illus.
Verlagsort	Wiesbaden
Sprache	englisch
Maße	148 x 210 mm
Gewicht	389 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Advection Problems • algebraic flux correction • Discrete Maximum Principles • Eigenvalue Range Limiting • Flux-Corrected Transport • Folgar-Tucker Equation • high-resolution schemes
ISBN-10	3-658-27736-X / 365827736X
ISBN-13	978-3-658-27736-9 / 9783658277369
Zustand	Neuware