Stable Numerical Schemes for Fluids, Structures and their Interactions
Nonfiction, Science & Nature, Science, Physics, Mechanics, Technology, Engineering, Mechanical
| Author: | Cornel Marius Murea | ISBN: | 9780081023808 |
| Publisher: | Elsevier Science | Publication: | September 1, 2017 |
| Imprint: | ISTE Press - Elsevier | Language: | English |
| Author: | Cornel Marius Murea |
| ISBN: | 9780081023808 |
| Publisher: | Elsevier Science |
| Publication: | September 1, 2017 |
| Imprint: | ISTE Press - Elsevier |
| Language: | English |
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
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
