Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems
2019 ed.
Book Details
Format
Paperback / Softback
ISBN-10
365827736X
ISBN-13
9783658277369
Edition
2019 ed.
Publisher
Springer Fachmedien Wiesbaden
Imprint
Springer Spektrum
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Oct 17th, 2019
Print length
283 Pages
Product Classification:
Numerical analysisApplied mathematicsMathematical physics
Ksh 7,750.00
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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. Using eigenvalue range preserving limiters and admissible closure approximations, he develops a physics-compatible numerical algorithm for this model.
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.
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