Stable Numerical Schemes for Fluids, Structures and their Interactions

Nonfiction, Science & Nature, Science, Physics, Mechanics, Technology, Engineering, Mechanical
Cover of the book Stable Numerical Schemes for Fluids, Structures and their Interactions by Cornel Marius Murea, Elsevier Science
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Author: Cornel Marius Murea ISBN: 9780081023808
Publisher: Elsevier Science Publication: September 1, 2017
Imprint: ISTE Press - Elsevier Language: English
Author: Cornel Marius Murea
ISBN: 9780081023808
Publisher: Elsevier Science
Publication: September 1, 2017
Imprint: ISTE Press - Elsevier
Language: English

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 interactions
  • Provides a numerical analysis of schemes for Stokes and Navier-Stokes equations
  • Covers dynamic linear and non-linear elasticity and fluid-structure interaction
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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.

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