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Physics-compatible finite element me...

Lohmann, Christoph.

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Physics-compatible finite element methods for scalar and tensorial advection problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Physics-compatible finite element methods for scalar and tensorial advection problems/ by Christoph Lohmann.
Author:	Lohmann, Christoph.
Published:	Wiesbaden :Springer Fachmedien Wiesbaden : : 2019.,
Description:	xii, 283 p. :ill., digital ;24 cm.
[NT 15003449]:	Equations of Fluid Dynamics -- Finite Element Discretization -- Limiting for Scalars -- Limiting for Tensors -- Simulation of Fiber Suspensions.
Contained By:	Springer eBooks
Subject:	Finite element method. -
Online resource:	https://doi.org/10.1007/978-3-658-27737-6
ISBN:	9783658277376

Physics-compatible finite element methods for scalar and tensorial advection problems
Lohmann, Christoph.

Physics-compatible finite element methods for scalar and tensorial advection problems[electronic resource] /by Christoph Lohmann. - Wiesbaden :Springer Fachmedien Wiesbaden :2019. - xii, 283 p. :ill., digital ;24 cm.

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

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.

ISBN: 9783658277376

Standard No.: 10.1007/978-3-658-27737-6doiSubjects--Topical Terms:

579714
Finite element method.

LC Class. No.: TA347.F5 / L646 2019

Dewey Class. No.: 518.25

Physics-compatible finite element methods for scalar and tensorial advection problems
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245 1 0 $a Physics-compatible finite element methods for scalar and tensorial advection problems $h [electronic resource] / $c by Christoph Lohmann.
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505 0 $a Equations of Fluid Dynamics -- Finite Element Discretization -- Limiting for Scalars -- Limiting for Tensors -- Simulation of Fiber Suspensions.
520 $a 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.
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