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

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

Christoph Lohmann

84,72 €
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Editorial:
Springer Nature B.V.
Año de edición:
2019
ISBN:
9783658277369
84,72 €
IVA incluido
Disponible

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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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