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Murea C. Stable Numerical Schemes for Fluids, Structures and their Interactions

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Murea C. Stable Numerical Schemes for Fluids, Structures and their Interactions
ISTE Press - Elsevier, 2017. — 206 p. — ISBN 978-1-78548-273-1.
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
Masters and PhD students and young researchers in Mathematics or Mechanical Engineering
Table of Contents
Mixed Finite Elements for Stokes Equations
Numerical Schemes for Navier-Stokes Equations
The ALE Method for Navier-Stokes Equations in a Moving Domain
Linear Elastodynamics
Nonlinear Elastodynamics
Numerical Schemes for the Fluid-Structure Interaction
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