The Finite Element Method for Fluid Dynamics

Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, in the fields of aerospace engineering, vehicle design, thermal engineering many other engineering applications. The new edition is a complete text and reference in its own right. Along with its companion, it is part of the indispensable Finite Element Method series.

New material in this edition includes sub-grid scale modeling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing.

* A complete, stand-alone reference on fluid mechanics, mechanical, aeronautical, automotive, marine, chemical and civil engineers.
* Extensive new coverage of turbulent flow and free surface treatments
* Accompanied by downloadable FEM source code

Introduction to the equations of fluid dynamics and the finite element approximation; Convection dominated problems - finite element approximations to the convection-diffusion-reaction equation; The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow; Incompressible Newtonian laminar flows; Incompressible non-Newtonian flows; Free surface and buoyancy driven flows; Compressible high-speed gas flow; Turbulent flows; Flow through porous media; Shallow water problems; Long and medium waves; Short waves; Computer implementation of the CBS algorithm; Appendices