A critical study of higher-order numerical methods for solving the boundary-layer equationsA fourth-order box 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. The efficiency of the present method is compared with other two-point and three-point higher-order methods; namely, the Keller Box Scheme with Richardson extrapolation, the method of deferred corrections, and the three-point spline methods. 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
19770052230
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Wornom, S. F. (NASA Langley Research Center Hampton, Va., United States)