Stable Numerical Schemes for Fluids, Structures and Their Interactions
Autor: | Murea, Cornel Marius |
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EAN: | 9781785482731 |
Sachgruppe: | Physik, Astronomie |
Sprache: | Englisch |
Seitenzahl: | 208 |
Produktart: | Gebunden |
Veröffentlichungsdatum: | 04.09.2017 |
Schlagworte: | Science |
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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.