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

Paperback Engels 2019 9783658277369
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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.

Specificaties

ISBN13:9783658277369
Taal:Engels
Bindwijze:paperback
Uitgever:Springer Fachmedien Wiesbaden

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Inhoudsopgave

<p>Equations of Fluid Dynamics.-&nbsp;Finite Element Discretization.-&nbsp;Limiting for Scalars.-&nbsp;Limiting for Tensors.-&nbsp;Simulation of Fiber Suspensions.</p>

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