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The proposed method can be easily hybridized with conventional finite element schemes, and this combination is especially suitable for modeling layered problems with local inhomogeneities, such as resistivity logging with borehole washouts in some layers.
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Examples of interior and boundary layer problems are presented.
The Kolmogorov and the laminar boundary layer problems exhibit the dominance of the real viscosity effects.
The integral flux correction is also applicable to other thin boundary layer problems.
Most conventional numerical schemes cannot efficiently solve the layer problems because they are lacking in either stability or accuracy.
The accuracy and robustness of the approach are assessed on the simple advection of an inviscid vortex and compressible mixing layer problems involving shock waves.
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].
Three boundary layer problems are considered and solved in this study using the novel technique.
The SRM is proposed for the solution of similarity boundary layer problems with exponentially decaying profiles.
The Blasius problem [1] arising in the boundary layer problems in fluid mechanics f ‴ + f f ″ = 0 on [ 0, ∞ ) (1.1).
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