Stable Numerical Schemes for Fluids, Structures and Their Interactions

Cornel Marius Murea

ISBN 10: 1785482734 / ISBN 13: 9781785482731

Published by Elsevier Science, 2017

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Seller Inventory # 9781785482731

Bibliographic Details

• Title: Stable Numerical Schemes for Fluids, Structures and Their Interactions
• Publisher: Elsevier Science
• Publication Date: 2017
• Language: English
• ISBN 10: 1785482734
• ISBN 13: 9781785482731
• Binding: Buch
• Condition: Neu
• Dimensions: 229W x 152H x 16D millimeters 229 millimeters width by 152 millimeters height by 16 millimeters depth
• Weight: 460 grams

About this title

Synopsis

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.

• Presents a self-contained monograph of schemes for fluid and elastic structures, including their interactions
• Provides a numerical analysis of schemes for Stokes and Navier-Stokes equations
• Covers dynamic linear and non-linear elasticity and fluid-structure interaction

About the Author

Cornel Marius Murea is a lecturer at the University of Haute Alsace, France. His research area includes numerical analysis and scientific computing of fluid-structure interaction problems.