A numerical technique for three-dimensional compressible boundary layers
Abstract
The nonlinear two-point boundary-value problem for three-dimensional compressible boundary layers is solved through the application of a boundary-value technique for a range of parameters characterizing the nature of stagnation-point flows. The analytical boundary conditions at infinity are applied at the edge of the computational mesh with iterations on the size of the domain. The solutions obtained show excellent agreement with the established similarity solutions for three-dimensional flows. The present method has the potential advantage of yielding the wall values of the second derivative (with respect to the similarity variable) of the stream functions and the first derivative of the dimensionless enthalpy as a part of the solution, contrary to the previously used shooting methods. The algorithm is computationally simple and numerically stable and extremely suitable for engineering design applications.
- Publication:
-
International Journal for Numerical Methods in Fluids
- Pub Date:
- February 1985
- DOI:
- 10.1002/fld.1650050207
- Bibcode:
- 1985IJNMF...5..191W
- Keywords:
-
- Boundary Layer Equations;
- Boundary Value Problems;
- Compressible Boundary Layer;
- Stagnation Flow;
- Stagnation Point;
- Three Dimensional Boundary Layer;
- Algorithms;
- Boundary Conditions;
- Computational Grids;
- Differential Equations;
- Finite Difference Theory;
- Iterative Solution;
- Prandtl Number;
- Fluid Mechanics and Heat Transfer