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Incompressible computational fluid dynamics is an emerging and important discipline, with numerous applications in industry and science. Its methods employ rigourous mathematical analysis far beyond what is presently possible for compressible flows. Vortex methods, finite elements, and spectral methods are emphasised. Contributions from leading experts in the various sub-fields portray the wide-ranging nature of the subject. The book provides an entrée into the current research in the field. It can also serve as a source book for researchers and others who require information on methods and techniques.
1. A few tools for turbulence models in Navier-Stokes equations B. Cardot, B. Mohammadi and O. Pironneau; 2. On some finite element methods for the numerical simulation of incompressible viscous flow Edward J. Dean and Roland Glowinski; 3. CFD - an industrial perspective Michael S. Engelman; 4. Stabilized finite element methods Leopoldo P. Franca, Thomas J. R. Hughes and Rolf Stenberg; 5. Optimal control and optimization of viscous, incompressible flows Max D. Gunzburger, L. Steven Hou and Thomas P. Svobodny; 6. A fully-coupled finite element algorithm, using direct and iterative solvers, for the incompressible Navier-Stokes equations W. G. Habashi, M. F. Peeters, M. P. Robichaud and V-N. Nguyen; 7. Numerical solution of the incompressible Navier-Stokes equations in primitive variables on unstaggered grids M. Hafez and M. Soliman; 8. Spectral element and lattice gas methods for incompressible fluid dynamics George Em Karniadakis, Steven A. Orszag, Einar M Rønquist and Anthony T. Patera; 9. Design of incompressible flow solvers: practical aspects Rainald Löhner; 10. The covolume approach to computing incompressible flows R. A. Nicolaides; 11. Vortex methods: an introduction and survey of selected research topics Elbridge Gerry Puckett; 12. New emerging methods in numerical analysis: applications to fluid mechanics Roger Temam; 13. The finite element method for three-dimensional incompressible flow R. W. Thatcher; 14. A posteriori error estimators and adaptive mesh-refinement techniques for the Navier-Stokes equation R. Verfürth.
Posted June 17, 2013