Stable Numerical Schemes for Incompressible Fluids, Elastic Structures and Fluid-Structure Interaction

Stable Numerical Schemes for Incompressible Fluids, Elastic Structures and Fluid-Structure Interaction presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interaction. It collects some of fundamental finite element methods, but also, some new approaches. For Stokes and Navier-Stokes equations, mixed finite element method was employed. Arbitrary Lagrangian Eulerian framework was used for fluids in moving domain. Schemes for linear and St Venant-Kirchhoff non-linear dynamic elasticity are presented. The stability of the schemes is proved. It is self-contained document. Every chapter is supplied with numerical tests. The book is addressed to Master students in Mathematics or Mechanical Engineering. A self-contained monograph containing together schemes for fluids as well as for elastic structures, but also theirs interactionsNumerical analysis of schemes for Stokes and Navier-Stokes equationsDynamic linear and non-linear elasticity and fluid-structure interaction INDICE: 1. Mixed finite element for Stokes equations2. Numerical schemes for Navier-Stokes equations3. Arbitrary Lagrangian Eulerian framework for Naver-Stokes equations in a mov- ing domain4. Dynamic linear elasticity5. Dynamic non-linear elasticity6. Numerical schemes for fluid-structure interaction

• ISBN: 978-1-78548-273-1
• Editorial: ISTE Press - Elsevier
• Encuadernacion: Cartoné
• Páginas: 200
• Fecha Publicación: 01/10/2017
• Nº Volúmenes: 1
• Idioma: Inglés