Title: Stable Numerical Schemes for Fluids, Structures and their Interactions
Publisher: ISTE Press - Elsevier
Publication Date: 2017
Language: English
ISBN 10: 1785482734
ISBN 13: 9781785482731
Binding: Hardcover
Condition: new
Weight: 0.6 kilograms

About this title

Synopsis

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

About the Author

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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