An Integral Spline Method for Boundary Layer Equations.
Abstract
An integral procedure using spline polynomials is described for the two dimensional boundary layer equations. This is a modified finite-element (MFE) formulation, wherein each term in the equations, rather than each independent variable, is approximated with a spline curve fit. Therefore, this is not a true finite-element or Galerkin method and the conventional spline relationships between functional and derivative values still apply. The only difference between the present integral formulation and our earlier differential collocation procedures is in the treatment of the governing differential equations. The differential methods are more suited to non-conservation equations; the present integral formulation is more desirable for conservation or divergence form of the equations. Boundary layer solutions using conventional second-order finite difference collocation, the second and fourth order Keller Box Scheme, and fourth order spline collocation or MFE methods are compared. Conservation and non-conservation forms are considered. Finally, the extension of the MFE formulation to three-coordinate parabolic systems and for the transonic small disturbance equations is briefly described. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1977
- Accession Number
- ADA044571
Entities
People
- P. K. Khosla
- S. G. Rubin