Finite Element Methods for Flow Problems

Taking an engineering, rather than a mathematical, approach, Finite Element Methods for Flow Problems presents the fundamentals of stabilized finite element methods of the Petrov-Galerkin type developed as an alternative to the standard Galerkin method for the analysis of steady and time-dependent problems.

The material presented here epitomizes the forefront of current research in several areas of computational fluid dynamics and combines theoretical aspects and practical applications. Coverage includes:

• Steady and transient convection-diffusion problems.
• Stabilization techniques designed to produce stable and accurate results in convection-dominated situations.
• The presentation and detailed analysis of high-order accurate time-stepping schemes for tracing the response of truly transient problems.
• Special methods for purely convective transport governed by linear equations
• Modelling of non-linear problems governed by the Euler equations of gas dynamics and the Navier-Stokes equations for viscous incompressible flows.
• Spatial discretization by means of the arbitrary Lagrangian-Eulerian description with application to fluid-structure systems.
• Worked examples.

The book will also be of interest to professionals working in aerospace, automotive, civil, environmental and offshore engineering, and safety technology.