Stable Numerical Schemes for Fluids, Structures and their Interactions
| By: | Cornel Marius Murea |
| Publisher: | Elsevier S & T |
| Print ISBN: | 9781785482731 |
| eText ISBN: | 9780081023808 |
| Edition: | 0 |
| Copyright: | 2018 |
| Format: | Reflowable |
eBook Features
Instant Access
Purchase and read your book immediately
Read Offline
Access your eTextbook anytime and anywhere
Study Tools
Built-in study tools like highlights and more
Read Aloud
Listen and follow along as Bookshelf reads to you
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