Overview
- Comprehensive overview of the state of the art
- Both theoretical and applied aspects are covered
- Authors are leading researchers from the community
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 323)
Included in the following conference series:
Conference proceedings info: FVCA 2020.
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Table of contents (73 papers)
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Invited Contributions
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Theoretical Aspects
Other volumes
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Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
Keywords
- 65-06, 65Mxx, 65Nxx, 76xx, 78xx,85-08, 86-08, 92-08
- finite volume schemes
- conservation and balance laws
- numerical analysis
- high performance computing
- incompressible flows
- drift-diffusion equations
- entropy methods
- shallow water equations
- open source software
- cut-cell methods
- fractured porous media
- fluid- and aerodynamics
About this book
The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields.
The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.
The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.
Editors and Affiliations
Bibliographic Information
Book Title: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
Book Subtitle: FVCA 9, Bergen, Norway, June 2020
Editors: Robert Klöfkorn, Eirik Keilegavlen, Florin A. Radu, Jürgen Fuhrmann
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-030-43651-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-43650-6Published: 10 June 2020
Softcover ISBN: 978-3-030-43652-0Published: 11 June 2021
eBook ISBN: 978-3-030-43651-3Published: 09 June 2020
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XV, 775
Number of Illustrations: 38 b/w illustrations, 146 illustrations in colour
Topics: Mathematics of Computing, Computational Mathematics and Numerical Analysis, Fluid- and Aerodynamics, Numerical and Computational Physics, Simulation