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A numerical method for solving incompressible viscous flow problems

✍ Scribed by Alexandre Joel Chorin

Book ID
107788336
Publisher
Elsevier Science
Year
1967
Tongue
English
Weight
692 KB
Volume
2
Category
Article
ISSN
0021-9991

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✦ Synopsis

A numerical method for solving incompressible viscous flow problems is introduced. This method uses the velocities and the pressure as variables, and is equally applicable to problems in two and three space dimensions. The principle of the method lies in the introduction of an artificial compressibility Ξ΄ into the equations of motion, in such a way that the final results do not depend on Ξ΄. An application to thermal convection problems is presented.

πŸ“œ SIMILAR VOLUMES

A Numerical Method for Solving Incompres
A Numerical Method for Solving Incompressible Viscous Flow Problems
✍ Alexandre Joel Chorin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 286 KB

where R Ο­ UD/v is the Reynolds number. Our purpose is to present a finite difference method for solving (1a)-A numerical method for solving incompressible viscous flow problems is introduced. This method uses the velocities and the (1b) in a domain D in two or three space dimensions, with pressure a

Numerical methods for incompressible vis
Numerical methods for incompressible viscous flow
✍ Hans Petter Langtangen; Kent-Andre Mardal; Ragnar Winther πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 268 KB

We present an overview of the most common numerical solution strategies for the incompressible Navier-Stokes equations, including fully implicit formulations, artificial compressibility methods, penalty formulations, and operator splitting methods (pressure/velocity correction, projection methods).

A Numerical Method for Solving Incompres
A Numerical Method for Solving Incompressible Flow Problems with a Surface of Discontinuity
✍ B.T Helenbrook; L Martinelli; C.K Law πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 223 KB

A numerical method for solving problems in which a moving surface of discontinuity separates regions of incompressible flow is presented. The method developed is notable in that it does not introduce any artificial smoothing of the change in fluid properties across the surface of discontinuity. This