View Full Document

A NUMERICAL STUDY OF THE AXISYMMETRIC COUETTE–TAYLOR PROBLEM



View the full content.
View Full Document
View Full Document

6 views

Unformatted text preview:

SIAM J SCI COMPUT Vol 20 No 3 pp 858 877 c 1998 Society for Industrial and Applied Mathematics A NUMERICAL STUDY OF THE AXISYMMETRIC COUETTE TAYLOR PROBLEM USING A FAST HIGH RESOLUTION SECOND ORDER CENTRAL SCHEME RAZ KUPFERMAN Abstract We present a numerical study of the axisymmetric Couette Taylor problem using a finite difference scheme The scheme is based on a staggered version of a second order centraldifferencing method combined with a discrete Hodge projection The use of central differencing operators obviates the need to trace the characteristic flow associated with the hyperbolic terms The result is a simple and efficient scheme which is readily adaptable to other geometries and to more complicated flows The scheme exhibits competitive performance in terms of accuracy resolution and robustness The numerical results agree accurately with linear stability theory and with previous numerical studies Key words central difference schemes incompressible flow Couette Taylor problem AMS subject classifications 65M06 76U05 76E10 PII S1064827597318009 1 Introduction Despite several decades of progress the accurate computation of flow problems is still a challenging task Sophisticated schemes have been designed to cope with a variety of physical problems Sophisticated methods are inherently difficult to apply especially if they require additional adaptation for each specific problem This is an obstacle that often prevents the use of modern methods in practical applications e g in mechanical or chemical engineering It is the purpose of this paper to show the applicability of a simple easy to implement computationally efficient and readily generalizable scheme for flow problems The realization and performance of the scheme are demonstrated on the well studied axisymmetric Couette Taylor system Many modern finite difference methods used in flow computations are based on the Godunov paradigm where the time evolution of a piecewise polynomial approximation of the flow field



Access the best Study Guides, Lecture Notes and Practice Exams

Loading Unlocking...
Login

Join to view A NUMERICAL STUDY OF THE AXISYMMETRIC COUETTE–TAYLOR PROBLEM and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view A NUMERICAL STUDY OF THE AXISYMMETRIC COUETTE–TAYLOR PROBLEM and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?