[DOWNLOAD] "Stable Numerical Schemes for Fluids, Structures and their Interactions" by Cornel Marius Murea " eBook PDF Kindle ePub Free

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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

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