| 书目名称 | Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems |
| 编辑 | Christoph Lohmann |
| 视频video | |
| 概述 | Foundations of Property-Preserving Flow Simulation |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2019 |
| 关键词 | High-Resolution Schemes; Discrete Maximum Principles; Flux-Corrected Transport; Algebraic Flux Correcti |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-658-27737-6 |
| isbn_softcover | 978-3-658-27736-9 |
| isbn_ebook | 978-3-658-27737-6 |
| copyright | Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2019 |
发表于 2025-3-21 17:20:57
