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Stable numerical schemes for fluids,...
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Murea, Cornel Marius,
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$q(electronic bk.)
Stable numerical schemes for fluids, structures and their interactions /
Murea, Cornel Marius,
Stable numerical schemes for fluids, structures and their interactions /
Cornel Marius Murea. - 1 online resource
Includes bibliographical references and index.
This book presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interactions. It collects some of the fundamental finite element methods as well as new approaches. For Stokes and Navier-Stokes equations, the mixed finite element method is employed. An arbitrary Lagrangian Eulerian framework is used for fluids in a moving domain. Schemes for linear and St Venant-Kirchhoff non-linear dynamic elasticity are presented. For fluid-structure interaction, two schemes are analyzed: the first is fully implicit and the second is semi-implicit, where the fluid domain is computed explicitly and consequently the computational time is considerably reduced. The stability of the schemes is proven in this self-contained book. Every chapter is supplied with numerical tests for the reader. These are aimed at Masters students in Mathematics or Mechanical Engineering.
ISBN: 9780081023808$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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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.
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https://www.sciencedirect.com/science/book/9781785482731
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