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A numerical method for integrating the unsteady boundary-layer equations when there are regions of backflow

Published online by Cambridge University Press:  29 March 2006

J. H. Phillips  and
R. C. Ackerberg
J. H. Phillips
Affiliation:
Polytechnic Institute of Brooklyn, Graduate Center, Farmingdale, New York 11735
R. C. Ackerberg
Affiliation:
Polytechnic Institute of Brooklyn, Graduate Center, Farmingdale, New York 11735
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Abstract

A numerical method for integrating the unsteady twodimensional boundarylayer equations using a second-order-accurate implicit method, which allows for arbitrary mesh spacing in the space and time variables, is developed. A unique feature of the method is the use of an asymptotic solution valid at the downstream end of the integration mesh which permits backflow to be taken into account. Newton's iterative technique is used to solve the nonlinear finite-difference equations a t each computation step, using a rapid algorithm for solving the resulting linearized equations. The method is applied to a flow which is periodic in time and contains regions of backflow. The numerical computations are compared with known numerical and asymptotic solutions and the agreement is excellent.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 58 , Issue 3 , 8 May 1973 , pp. 561 - 579
Copyright
© 1973 Cambridge University Press

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