Stable Numerical Schemes for Fluids, Structures and their Interactions

Cornel Marius Murea (Autor)

Buch | Hardcover

208 Seiten

2017
ISTE Press Ltd - Elsevier Inc (Verlag)
9781785482731 (ISBN)

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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.

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.

1. Mixed Finite Elements for Stokes Equations
2. Numerical Schemes for Navier-Stokes Equations
3. The ALE Method for Navier-Stokes Equations in a Moving Domain
4. Linear Elastodynamics
5. Nonlinear Elastodynamics
6. Numerical Schemes for the Fluid-Structure Interaction

Erscheinungsdatum	11.09.2017
Sprache	englisch
Maße	152 x 229 mm
Gewicht	460 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
ISBN-13	9781785482731 / 9781785482731
Zustand	Neuware