Editors:
- Gives a comprehensive overview of the state of the art in the field
- Covers both theoretical and applied aspects
- Includes contributions by leading researchers
- Includes supplementary material: sn.pub/extras
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 199)
Conference series link(s): FVCA: International Conference on Finite Volumes for Complex Applications
Conference proceedings info: FVCA 2017.
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Table of contents (40 papers)
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Front Matter
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Invited Papers
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Front Matter
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Benchmark on Discretization Methods for Viscous Incompressible Flows
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Front Matter
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Theoretical Aspects of Finite Volumes
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Front Matter
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Other Volumes
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Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
About this book
This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier–Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field.
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, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asy
mptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of 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
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Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve-d’Ascq, France
Clément Cancès
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Commissariat à l'énergie atomique et aux énergies alternatives, Centre de Saclay, Gif-sur-Yvette, France
Pascal Omnes
Bibliographic Information
Book Title: Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
Book Subtitle: FVCA 8, Lille, France, June 2017
Editors: Clément Cancès, Pascal Omnes
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-57397-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-57396-0Published: 24 May 2017
Softcover ISBN: 978-3-319-86153-1Published: 09 May 2018
eBook ISBN: 978-3-319-57397-7Published: 23 May 2017
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XII, 476
Number of Illustrations: 22 b/w illustrations, 52 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Fluid- and Aerodynamics, Numerical and Computational Physics, Simulation