Stable Numerical Schemes for Fluids, Structures and their Interactions Hardback
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.
- Format: Hardback
- Pages: 208 pages
- Publisher: ISTE Press Ltd - Elsevier Inc
- Publication Date: 04/09/2017
- Category: Fluid mechanics
- ISBN: 9781785482731