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

2017 | Science & Mathematics

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.

Cornel Marius Murea (Author)