Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (eBook)

FVCA 9, Bergen, Norway, June 2020

Robert Klöfkorn, Eirik Keilegavlen, Florin A. Radu, Jürgen Fuhrmann (Herausgeber)

eBook Download: PDF

2020 | 1st ed. 2020
XV, 775 Seiten
Springer International Publishing (Verlag)
978-3-030-43651-3 (ISBN)

Infos

The proceedings of the 9^th 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.

Produkt-Details

• Erscheint lt. Verlag: 9.6.2020
• Reihe/Serie: Springer Proceedings in Mathematics & Statistics
• Reihe/Serie: Springer Proceedings in Mathematics & Statistics
• Zusatzinfo: XV, 775 p. 184 illus., 146 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Schlagworte: 65-06, 65Mxx, 65Nxx, 76xx, 78xx,85-08, 86-08, 92-08 • conservation and balance laws • cut-cell methods • drift-diffusion equations • Entropy Methods • finite volume schemes • fluid- and aerodynamics • Fractured porous media • High Performance Computing • incompressible flows • Numerical analysis • Open Source Software • shallow water equations
• ISBN-10: 3-030-43651-9 / 3030436519
• ISBN-13: 978-3-030-43651-3 / 9783030436513