Application of higher-order numerical methods to the boundary-layer equationsA fourth-order method is presented for calculating numerical solutions to parabolic, partial differential equations in two variables or ordinary differential equations. The method is the natural extension of the second-order Keller Box Scheme to fourth order and is demonstrated with application to the incompressible, laminar and turbulent boundary-layer equations for both attached and separated flows. The efficiency of the present method is compared with other higher-order methods; namely, the Keller Box Scheme with Richardson extrapolation, the method of deferred corrections, the three-point spline methods, and a modified finite-element method. For equivalent accuracy, numerical results show the present method to be more efficient than the other higher-order methods for both laminar and turbulent flows.
Document ID
19780050998
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Wornom, S. F. (NASA Langley Research Center Hampton, Va., United States)
Date Acquired
August 9, 2013
Publication Date
July 1, 1978
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: Conference on Numerical Methods in Laminar and Turbulent Flow