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Incompressible computational fluid dynamics: trends and advances. (English) Zbl 1190.76004

Cambridge: Cambridge University Press (ISBN 0-521-40407-X/hbk). xiii, 1993. (1993).

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Publisher’s description: 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 entré 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.
Contents: B. Cardot, B. Mohammadi and O. Pironneau, A few tools for turbulence models in Navier-Stokes equations, 1–15; Edward J. Dean and Roland Glowinski, On some finite element methods for the numerical simulation of incompressible viscous flow, 17–65; Michael S. Engelman, CFD – an industrial perspective, 67–86; Leopoldo P. Franca, Thomas J. R. Hughes and Rolf Stenberg, Stabilized finite element methods, 87–107; Max D. Gunzburger, L. Steven Hou and Thomas P. Svobodny, Optimal control and optimization of viscous, incompressible flows, 109–150; W. G. Habashi, M. F. Peeters, M. P. Robichaud and V.-N. Nguyen, A fully-coupled finite element algorithm, using direct and iterative solvers, for the incompressible Navier-Stokes equations, 151–182; M. Hafez and M. Soliman, Numerical solution of the incompressible Navier-Stokes equations in primitive variables on unstaggered grids, 183–201; George Em Karniadakis, Steven A. Orszag, Einar M. Rønquist and Anthony T. Patera, Spectral element and lattice gas methods for incompressible fluid dynamics, 203–266; Rainald Löhner, Design of incompressible flow solvers: practical aspects, 267–293; R. A. Nicolaides, The covolume approach to computing incompressible flows, 295–333; Elbridge Gerry Puckett, Vortex methods: an introduction and survey of selected research topics, 335–407; Roger Temam, New emerging methods in numerical analysis: applications to fluid mechanics, 409–426; R. W. Thatcher, The finite element method for three dimensional incompressible flow, 427–445; R. Verfürth, A posteriori error estimators and adaptive mesh-refinement techniques for the Navier-Stokes equations, 447–475.
The articles of this volume will be announced individually.
Indexed articles:
Cardot, B.; Mohammadi, B.; Pironneau, O., A few tools for turbulence models in Navier-Stokes equations, 1-15 [Zbl 1189.76110]
Dean, Edward J.; Glowinski, Roland, On some finite element methods for the numerical simulation of incompressible viscous flow, 17-65 [Zbl 1189.76336]
Engelman, Michael S., CFD – an industrial perspective, 67-86 [Zbl 1189.76010]
Franca, Leopoldo P.; Hughes, Thomas J. R.; Stenberg, Rolf, Stabilized finite element methods, 87-107 [Zbl 1189.76339]
Gunzburger, Max D.; Hou, L. Steven; Svobodny, Thomas P., Optimal control and optimization of viscous, incompressible flows, 109-150 [Zbl 1189.76447]
Habashi, W. G.; Peeters, M. F.; Robichaud, M. P.; Nguyen, V.-N., A fully-coupled finite element algorithm, using direct and iterative solvers, for the incompressible Navier-Stokes equations. equations, 151-182 [Zbl 1189.76340]
Hafez, M.; Soliman, M., Numerical solution of the incompressible Navier-Stokes equations in primitive variables on unstaggered grids, 183-201 [Zbl 1189.76386]
Karniadakis, George Em; Orszag, Steven A.; Rønquist, Einar M.; Patera, Anthony T., Spectral element and lattice gas methods for incompressible fluid dynamics, 203-266 [Zbl 1189.76379]
Löhner, Rainald, Design of incompressible flow solvers: practical aspects, 267-293 [Zbl 1189.76011]
Nicolaides, R. A., The covolume approach to computing incompressible flows, 295-333 [Zbl 1189.76392]
Puckett, Elbridge Gerry, Vortex methods: an introduction and survey of selected research topics, 335-407 [Zbl 1189.76147]
Temam, Roger, New emerging methods in numerical analysis: applications to fluid mechanics, 409-426 [Zbl 1189.76393]
Thatcher, R. W., The finite element method for three dimensional incompressible flow, 427-445 [Zbl 1189.76346]
Verfurth, R., A posteriori error estimators and adaptive mesh-refinement techniques for the Navier-Stokes equations, 447-475 [Zbl 1189.76394]

MSC:

76-06 Proceedings, conferences, collections, etc. pertaining to fluid mechanics
76M10 Finite element methods applied to problems in fluid mechanics
76M22 Spectral methods applied to problems in fluid mechanics
76M23 Vortex methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
00B15 Collections of articles of miscellaneous specific interest
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