A Numerical Method for Solving Incompressible Viscous Flow Problems

✍ Scribed by Alexandre Joel Chorin

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 286 KB
• Volume: 135
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1997.5716

✦ Synopsis

where R ϭ 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 as variables and is equally applicable to problems in two some appropriate conditions prescribed on the boundary and three space dimensions. The principle of the method lies in the of D.

introduction of an artificial compressibility ͳ into the equations of

The numerical solution of these equations presents mamotion, in such a way that the final results do not depend on ͳ. An jor difficulties, due in part to the special role of the pressure application to thermal convection problems is presented. ᮊ 1967 Academic Press in the equations and in part to the large amount of computer time which such solution usually requires, making it necessary to devise finite-difference schemes which allow * This work was partially supported by AEC Contract No. AT(30-1)-1480.