Stable Numerical Schemes for Fluids, Structures and their Interactions
1st Edition
Secure Checkout
Personal information is secured with SSL technology.Free Shipping
Free global shippingNo minimum order.
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.
Key Features
- 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
Readership
Masters and PhD students and young researchers in Mathematics or Mechanical Engineering
Table of Contents
1. Mixed Finite Elements for Stokes Equations
2. Numerical Schemes for Navier-Stokes Equations
3. The ALE Method for Navier-Stokes Equations in a Moving Domain
4. Linear Elastodynamics
5. Nonlinear Elastodynamics
6. Numerical Schemes for the Fluid-Structure Interaction
Details
- No. of pages:
- 208
- Language:
- English
- Copyright:
- © ISTE Press - Elsevier 2018
- Published:
- 4th September 2017
- Imprint:
- ISTE Press - Elsevier
- Hardcover ISBN:
- 9781785482731
- eBook ISBN:
- 9780081023808
About the Author
Cornel Marius Murea
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.
Affiliations and Expertise
University of Haute Alsace, France
Ratings and Reviews
Request Quote
Tax Exemption
Elsevier.com visitor survey
We are always looking for ways to improve customer experience on Elsevier.com.
We would like to ask you for a moment of your time to fill in a short questionnaire, at the end of your visit.
If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website.
Thanks in advance for your time.