Stable Numerical Schemes for Fluids, Structures and their Interactions



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Iste Press - Elsevier


Paru le : 2017-09-01



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Description
This book presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interactions. It collects some of the fundamental finite element methods as well as new approaches.For Stokes and Navier-Stokes equations, the mixed finite element method is employed. An arbitrary Lagrangian Eulerian framework is used for fluids in a moving domain. Schemes for linear and St Venant-Kirchhoff non-linear dynamic elasticity are presented. For fluid-structure interaction, two schemes are analyzed: the first is fully implicit and the second is semi-implicit, where the fluid domain is computed explicitly and consequently the computational time is considerably reduced.The stability of the schemes is proven in this self-contained book. Every chapter is supplied with numerical tests for the reader. These are aimed at Masters students in Mathematics or Mechanical Engineering. - Presents a self-contained monograph of schemes for fluid and elastic structures, including their interactions - Provides a numerical analysis of schemes for Stokes and Navier-Stokes equations - Covers dynamic linear and non-linear elasticity and fluid-structure interaction
Pages
208 pages
Collection
n.c
Parution
2017-09-01
Marque
Iste Press - Elsevier
EAN papier
9781785482731
EAN PDF
9780081023808

Informations sur l'ebook
Nombre pages copiables
20
Nombre pages imprimables
20
Taille du fichier
13732 Ko
Prix
97,01 €
EAN EPUB SANS DRM
9780081023808

Prix
97,01 €

Cornel Marius Murea is a lecturer at the University of Haute Alsace, France. His research area includes numerical analysis and scientific computing of fluid-structure interaction problems.

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