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For self-similar boundary layer problems, the SRM algorithm may be summarized as follows: 1. Reduce the order of the momentum equation for f by introducing the transformation f ′ = p and express the original equation in terms of p . 2.
A simple smoother (Gauss-Seidel relaxation) method can efficiently remove the errors in all directions for simple isotropic problems [7, 20], but in case of anisotropic and boundary layer problems, the line Gauss-Seidel [19, 21] and alternating line Gauss-Seidel methods [1, 25 27] are shown to be more robust smoothers.
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The Kolmogorov and the laminar boundary layer problems exhibit the dominance of the real viscosity effects.
Such boundary layer problems arise in the study of the flow of electrically conducting fluids such as liquid metal.
In the case of boundary layer problems with suitable grid stretching ratios, the accuracy is up to fourth order for the HOC scheme and second order for the CD scheme.
The submerged jet-like flows of foam/gypsum slurry mixtures belong to the class of the boundary layer problems of strongly non-linear power-law fluids of three-phase media (gypsum stucco, water and air), which is insufficiently studied in the framework of the non-Newtonian fluid mechanics.
Since usually it is required to deal with some complex related problems such as the oscillatory behavior of the electric fields, the initial layer problem, the sheath boundary layer problem, and the classical shock problem.
The Blasius problem [1] arising in the boundary layer problems in fluid mechanics f ‴ + f f ″ = 0 on [ 0, ∞ ) (1.1).
The following system of two differential equations arising in the boundary layer problems in fluid mechanics (1.1).
For the boundary layer problems it is difficult to construct a reliable false transient equation if it is not based on a physically "sound" transient model.
Another broad category of singularly perturbed problems is the boundary layer problems [1, 2].
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