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

By:

Lohmann, Christoph, 1991- [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBooks Mathematics and StatisticsPublisher: Wiesbaden : Springer Spektrum, [2019]Copyright date: © 2019Description: 1 Online-Ressource (XII, 283 Seiten) : IllustrationenISBN:

9783658277376

Subject(s):

Genre/Form:

Hochschulschrift

Additional physical formats: 9783658277369 | Erscheint auch als: Physics-compatible finite element methods for scalar and tensorial advection problems. Druck-Ausgabe Wiesbaden : Springer Spektrum, 2019. XII, 283 SeitenRVK: RVK: SK 910LOC classification:

QA71-90

DOI: DOI: 10.1007/978-3-658-27737-6Online resources:

Dissertation note: Dissertation - Technische Universität Dortmund, 2019 Summary: Equations of Fluid Dynamics -- Finite Element Discretization -- Limiting for Scalars -- Limiting for Tensors -- Simulation of Fiber SuspensionsSummary: 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. Contents Equations of Fluid Dynamics Finite Element Discretization Limiting for Scalars Limiting for Tensors Simulation of Fiber Suspensions Target Groups Researchers and students in the field of applied mathematics Developers of numerical methods for transport equations and of general-purpose simulation software for computational fluid dynamics, engineers in the field of fiber suspension flows and injection molding processes The Author 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 principlesPPN: PPN: 168172376XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

Holdings ( 0 )

No physical items for this record