The numerical calculation of turbulent boundary layer development

1972 
A mathematical model of the two-dimensional, incompressible turbulent boundary layer in arbitrary pressure gradient described and solved in earlier work1 is solved by an implicit finite difference method. Comparisons of skin friction coefficient and momentum thickness values for the two methods for four test cases of different character indicate that the present method is a useful alternative to the method of characteristics which was used in previous work. One feature of the present method is that allowance is made for the logarithmic character of the velocity profile when constructing one of the finite difference expressions.
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