Stable Numerical Schemes for Fluids, Structures and their Interactions

Murea, Cornel Marius

ISBN 10: 1785482734 / ISBN 13: 9781785482731

Editore: ISTE Press - Elsevier, 2017

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Codice articolo 370944098

Dati bibliografici

• Titolo: Stable Numerical Schemes for Fluids, Structures and their Interactions
• Editore: ISTE Press - Elsevier
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 1785482734
• ISBN 13: 9781785482731
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.