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612-822-4611
Stable Numerical Schemes for Fluids, Structures and Their Interactions

Stable Numerical Schemes for Fluids, Structures and Their Interactions

Hardcover

Technology & EngineeringPhysics

ISBN10: 1785482734
ISBN13: 9781785482731
Publisher: Iste Press - Elsevier
Published: Sep 4 2017
Pages: 208
Weight: 1.05
Height: 0.61 Width: 6.01 Depth: 9.11
Language: English

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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