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...
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| Format: | software, multimedia |
| Language: | eng |
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London : Elsevier,
2017
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| Online Access: | https://www.sciencedirect.com/book/9781785482731 |
| _version_ | 1826472564932739072 |
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| author | Murea, Cornel Marius, author 649412 ScienceDirect (Online service) 7722 |
| author_facet | Murea, Cornel Marius, author 649412 ScienceDirect (Online service) 7722 |
| author_sort | Murea, Cornel Marius, author 649412 |
| collection | OCEAN |
| description | 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. |
| first_indexed | 2024-03-05T17:20:20Z |
| format | software, multimedia |
| id | KOHA-OAI-TEST:606586 |
| institution | Universiti Teknologi Malaysia - OCEAN |
| language | eng |
| last_indexed | 2024-03-05T17:20:20Z |
| publishDate | 2017 |
| publisher | London : Elsevier, |
| record_format | dspace |
| spelling | KOHA-OAI-TEST:6065862023-10-01T07:21:06ZStable Numerical Schemes for Fluids, Structures and their Interactions / Murea, Cornel Marius, author 649412 ScienceDirect (Online service) 7722 software, multimedia Electronic books 631902 London : Elsevier,2017©2017engThis 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.Includes index.1 - Mixed Finite Elements for the Stokes Equations -- 2 - Numerical Schemes for the Navier-Stokes Equations -- 3 - The ALE Method for Navier-Stokes Equations in a Moving Domain -- 4 - Linear Elastodynamics -- 5 - Nonlinear Elastodynamics -- 6 - Numerical Schemes for the Fluid-Structure Interaction -- Appendix - Functional Analysis Tools -- Bibliography -- IndexThis 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.Fluidshttps://www.sciencedirect.com/book/9781785482731URN:ISBN:9781785482731Remote access restricted to users with a valid UTM ID via VPN. |
| spellingShingle | Fluids Murea, Cornel Marius, author 649412 ScienceDirect (Online service) 7722 Stable Numerical Schemes for Fluids, Structures and their Interactions / |
| title | Stable Numerical Schemes for Fluids, Structures and their Interactions / |
| title_full | Stable Numerical Schemes for Fluids, Structures and their Interactions / |
| title_fullStr | Stable Numerical Schemes for Fluids, Structures and their Interactions / |
| title_full_unstemmed | Stable Numerical Schemes for Fluids, Structures and their Interactions / |
| title_short | Stable Numerical Schemes for Fluids, Structures and their Interactions / |
| title_sort | stable numerical schemes for fluids structures and their interactions |
| topic | Fluids |
| url | https://www.sciencedirect.com/book/9781785482731 |
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