Stable Numerical Schemes for Fluids, Structures and their Interactions
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
1133480334
Stable Numerical Schemes for Fluids, Structures and their Interactions
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
100.0
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Stable Numerical Schemes for Fluids, Structures and their Interactions
208
Stable Numerical Schemes for Fluids, Structures and their Interactions
208
100.0
In Stock
Product Details
| ISBN-13: | 9780081023808 |
|---|---|
| Publisher: | ISTE Press - Elsevier |
| Publication date: | 09/01/2017 |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| Pages: | 208 |
| File size: | 15 MB |
| Note: | This product may take a few minutes to download. |
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