(Download) "Stable Numerical Schemes for Fluids, Structures and their Interactions" by Cornel Marius Murea # Book PDF Kindle ePub Free
eBook details
- Title: Stable Numerical Schemes for Fluids, Structures and their Interactions
- Author : Cornel Marius Murea
- Release Date : January 01, 2017
- Genre: Physics,Books,Science & Nature,Professional & Technical,Engineering,
- Pages : * pages
- Size : 21103 KB
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 interactionsProvides a numerical analysis of schemes for Stokes and Navier-Stokes equationsCovers dynamic linear and non-linear elasticity and fluid-structure interaction