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Stable numerical schemes for fluids,...

Murea, Cornel Marius,

Stable numerical schemes for fluids, structures and their interactions /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stable numerical schemes for fluids, structures and their interactions /Cornel Marius Murea.
Author:	Murea, Cornel Marius,
Description:	1 online resource
Subject:	Numerical analysis.
Online resource:	https://www.sciencedirect.com/science/book/9781785482731
ISBN:	9780081023808$q(electronic bk.)

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: 9780081023808$q(electronic bk.)Subjects--Topical Terms:

182073
Numerical analysis.
Index Terms--Genre/Form:

214472
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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100 1 $a Murea, Cornel Marius, $e author. $3 845698
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
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
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 182073
650 0 $a Differential equations, Partial $x Numerical solutions. $3 185034
650 0 $a Navier-Stokes equations $x Numerical solutions. $3 281683
650 0 $a Group schemes (Mathematics) $3 347585
650 0 $a Fluid-structure interaction. $3 284060
655 4 $a Electronic books. $2 local. $3 214472
856 4 0 $u https://www.sciencedirect.com/science/book/9781785482731