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Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems
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Catalogue Information
Field name
Details
Dewey Class
518
Title
Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems ([EBook] /) / by Christoph Lohmann.
Author
Lohmann, Christoph
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2019.
Publication
Wiesbaden : : Springer Fachmedien Wiesbaden : : Imprint: Springer Spektrum, , 2019.
Physical Details
XII, 283 p. 1 illus. : online resource.
ISBN
9783658277376
Summary Note
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 principles.:
Contents note
Equations of Fluid Dynamics -- Finite Element Discretization -- Limiting for Scalars -- Limiting for Tensors -- Simulation of Fiber Suspensions.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-658-27737-6
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Computational Mathematics and Numerical Analysis
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Computer mathematics
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Engineering mathematics
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Numerical and Computational Physics, Simulation
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Physics
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Authors:
author
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Lohmann, Christoph
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Corporate Authors:
SpringerLink (Online service)
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Classification:
518
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