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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems/ by Christoph Lohmann.
作者:	Lohmann, Christoph.
面頁冊數:	XII, 283 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Computer mathematics. -
電子資源:	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. - 1st ed. 2019. - XII, 283 p. 1 illus.online resource.

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:

1199796
Computer mathematics.

LC Class. No.: QA71-90

Dewey Class. No.: 518

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