國立高雄大學圖資館 |

Language: English

Back

Physics-compatible finite element me...

Lohmann, Christoph.

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 problemsby Christoph Lohmann.
Author:	Lohmann, Christoph.
Published:	Wiesbaden :Springer Fachmedien Wiesbaden :2019.
Description:	xii, 283 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Finite element method.
Online resource:	https://doi.org/10.1007/978-3-658-27737-6
ISBN:	9783658277376$q(electronic bk.)

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$q(electronic bk.)

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

184533
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
LDR:02530nmm a2200325 a 4500 001 568127
003 DE-He213
005 20200130163103.0
006 m d
007 cr nn 008maaau
008 200611s2019 gw s 0 eng d
020 $a 9783658277376$q(electronic bk.)
020 $a 9783658277369$q(paper)
024 7 $a 10.1007/978-3-658-27737-6 $2 doi
035 $a 978-3-658-27737-6
040 $a GP $c GP
041 0 $a eng
050 4 $a TA347.F5 $b L646 2019
072 7 $a PBKS $2 bicssc
072 7 $a MAT006000 $2 bisacsh
072 7 $a PBKS $2 thema
082 0 4 $a 518.25 $2 23
090 $a TA347.F5 $b L833 2019
100 1 $a Lohmann, Christoph. $3 853840
245 1 0 $a Physics-compatible finite element methods for scalar and tensorial advection problems $h [electronic resource] / $c by Christoph Lohmann.
260 $a Wiesbaden : $b Springer Fachmedien Wiesbaden : $b Imprint: Springer Spektrum, $c 2019.
300 $a xii, 283 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Finite element method. $3 184533
650 1 4 $a Computational Mathematics and Numerical Analysis. $3 274020
650 2 4 $a Numerical and Computational Physics, Simulation. $3 758154
650 2 4 $a Applications of Mathematics. $3 273744
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-658-27737-6
950 $a Mathematics and Statistics (Springer-11649)