Stable Numerical Schemes for Fluids, Structures and their Interactions - 1st Edition - ISBN: 9781785482731, 9780081023808

Stable Numerical Schemes for Fluids, Structures and their Interactions

1st Edition

Authors: Cornel Marius Murea
eBook ISBN: 9780081023808
Hardcover ISBN: 9781785482731
Imprint: ISTE Press - Elsevier
Published Date: 4th September 2017
Page Count: 208
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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
Copyright:
© ISTE Press - Elsevier 2018
Published:
Imprint:
ISTE Press - Elsevier
eBook ISBN:
9780081023808
Hardcover ISBN:
9781785482731

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