Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems
Christoph LohmannChristoph 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.
Категории:
Година:
2019
Издание:
1st ed. 2019
Издателство:
Springer Fachmedien Wiesbaden;Springer Spektrum
Език:
english
ISBN 10:
3658277378
ISBN 13:
9783658277376
Файл:
PDF, 7.59 MB
IPFS:
,
english, 2019
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