Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems. 1st ed. 2019

種類:

電子ブック

責任表示:

by Christoph Lohmann

出版情報:

Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2019

著者名:

• Lohmann, Christoph.
• SpringerLink (Online service)

ISBN:

9783658277376 [3658277378]    

注記:

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 com

ローカル注記:

学内専用E-BOOKS (local access only)