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. A...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London
ISTE Press Ltd
2017
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| Subjects: | |
| Online Access: | FLA01 Volltext |
| Summary: | 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 |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | 1 online resource |
| ISBN: | 9780081023808 0081023804 |
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| id | DE-604.BV045131751 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:09:35Z |
| institution | BVB |
| isbn | 9780081023808 0081023804 |
| language | English |
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| spelling | Murea, Cornel Marius Verfasser aut Stable numerical schemes for fluids, structures and their interactions Cornel Marius Murea London ISTE Press Ltd 2017 1 online resource txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index 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 MATHEMATICS / Applied bisacsh MATHEMATICS / Probability & Statistics / General bisacsh Differential equations, Partial / Numerical solutions fast Fluid-structure interaction fast Group schemes (Mathematics) fast Navier-Stokes equations / Numerical solutions fast Numerical analysis fast Numerical analysis Differential equations, Partial Numerical solutions Navier-Stokes equations Numerical solutions Group schemes (Mathematics) Fluid-structure interaction Erscheint auch als Druck-Ausgabe 9781785482731 Erscheint auch als Druck-Ausgabe 1785482734 http://www.sciencedirect.com/science/book/9781785482731 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Murea, Cornel Marius Stable numerical schemes for fluids, structures and their interactions MATHEMATICS / Applied bisacsh MATHEMATICS / Probability & Statistics / General bisacsh Differential equations, Partial / Numerical solutions fast Fluid-structure interaction fast Group schemes (Mathematics) fast Navier-Stokes equations / Numerical solutions fast Numerical analysis fast Numerical analysis Differential equations, Partial Numerical solutions Navier-Stokes equations Numerical solutions Group schemes (Mathematics) Fluid-structure interaction |
| title | Stable numerical schemes for fluids, structures and their interactions |
| title_auth | Stable numerical schemes for fluids, structures and their interactions |
| title_exact_search | Stable numerical schemes for fluids, structures and their interactions |
| title_full | Stable numerical schemes for fluids, structures and their interactions Cornel Marius Murea |
| title_fullStr | Stable numerical schemes for fluids, structures and their interactions Cornel Marius Murea |
| title_full_unstemmed | Stable numerical schemes for fluids, structures and their interactions Cornel Marius Murea |
| title_short | Stable numerical schemes for fluids, structures and their interactions |
| title_sort | stable numerical schemes for fluids structures and their interactions |
| topic | MATHEMATICS / Applied bisacsh MATHEMATICS / Probability & Statistics / General bisacsh Differential equations, Partial / Numerical solutions fast Fluid-structure interaction fast Group schemes (Mathematics) fast Navier-Stokes equations / Numerical solutions fast Numerical analysis fast Numerical analysis Differential equations, Partial Numerical solutions Navier-Stokes equations Numerical solutions Group schemes (Mathematics) Fluid-structure interaction |
| topic_facet | MATHEMATICS / Applied MATHEMATICS / Probability & Statistics / General Differential equations, Partial / Numerical solutions Fluid-structure interaction Group schemes (Mathematics) Navier-Stokes equations / Numerical solutions Numerical analysis Differential equations, Partial Numerical solutions Navier-Stokes equations Numerical solutions |
| url | http://www.sciencedirect.com/science/book/9781785482731 |
| work_keys_str_mv | AT mureacornelmarius stablenumericalschemesforfluidsstructuresandtheirinteractions |