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Stable numerical schemes for fluids,...

Murea, Cornel Marius,

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Stable numerical schemes for fluids, structures and their interactions /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stable numerical schemes for fluids, structures and their interactions // Cornel Marius Murea.
作者:	Murea, Cornel Marius,
面頁冊數:	1 online resource
標題:	Numerical analysis. -
電子資源:	https://www.sciencedirect.com/science/book/9781785482731
ISBN:	9780081023808

Stable numerical schemes for fluids, structures and their interactions /
Murea, Cornel Marius,

Stable numerical schemes for fluids, structures and their interactions /Cornel Marius Murea. - 1 online resource

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.

ISBN: 9780081023808Subjects--Topical Terms:

517751
Numerical analysis.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA297 / .M868 2017

Dewey Class. No.: 519.4

Stable numerical schemes for fluids, structures and their interactions /
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245 1 0 $a Stable numerical schemes for fluids, structures and their interactions / $c Cornel Marius Murea.
264 1 $a London : $b ISTE Press Ltd ; $a Oxford, UK : $b Elsevier Ltd, $c 2017.
300 $a 1 online resource
336 $a text $b txt $2 rdacontent
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504 $a Includes bibliographical references and index.
520 $a 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.
650 0 $a Numerical analysis. $3 517751
650 0 $a Differential equations, Partial $x Numerical solutions. $3 540504
650 0 $a Navier-Stokes equations $x Numerical solutions. $3 904692
650 0 $a Group schemes (Mathematics) $3 546798
650 0 $a Fluid-structure interaction. $3 907285
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856 4 0 $u https://www.sciencedirect.com/science/book/9781785482731