Stable Numerical Schemes for Fluids, Structures and their Interactions
  • Release Date : 01 September 2017
  • Publisher : Elsevier
  • Genre : Science
  • Pages : 208 pages
  • ISBN 13 : 9780081023808
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Download or read book entitled Stable Numerical Schemes for Fluids, Structures and their Interactions by author: Cornel Marius Murea which was release on 01 September 2017 and published by Elsevier with total page 208 pages . This book available in PDF, EPUB and Kindle Format. 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