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Stable Numerical Schemes for Fluids, Structures and their Interactions
- 1st Edition - September 1, 2017
- Author: Cornel Marius Murea
- Language: English
- Hardback ISBN:9 7 8 - 1 - 7 8 5 4 8 - 2 7 3 - 1
- eBook ISBN:9 7 8 - 0 - 0 8 - 1 0 2 3 8 0 - 8
This book presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interactions. It collects some of the fundamental finite el… Read more
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Request a sales quoteThis 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
Masters and PhD students and young researchers in Mathematics or Mechanical Engineering
- No. of pages: 208
- Language: English
- Edition: 1
- Published: September 1, 2017
- Imprint: ISTE Press - Elsevier
- Hardback ISBN: 9781785482731
- eBook ISBN: 9780081023808
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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, FranceRead Stable Numerical Schemes for Fluids, Structures and their Interactions on ScienceDirect