Stable Numerical Schemes for Fluids, Structures and their Intera

Stable Numerical Schemes for Fluids, Structures and their InteractionsAuthor(s): Cornel Marius Murea\nFormat: Hardback\nPublisher: ISTE Press Ltd - Elsevier Inc, United Kingdom\nImprint: ISTE Press Ltd - Elsevier Inc\nISBN-13: 9781785482731, 978-1785482731\nSynopsis\nThis 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 [url] 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 [url] stability of the schemes is proven in this .