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Numerical results The parameters of coordinate transformation (7) have the form: 1 x ξ ( x ) = K + arsh − 1 sh(τ K ) , τ xс z 1− β +1 a η ( z ) = H ( β + 1 ) − ( β − 1 ) β − 1 K= z 1− β + 1 a + 1 , β − 1 1 x x ln 1 + ( eτ − 1) c 1 − ( eτ − 1) c , L L 2τ β and τ are refinement factors ( β >1 and τ >1), a is the height of the computational domain in the generalized coordinates, and xc is the point with respect to which grid refinement is performed.
Numerical Study of Chemically Reacting Flows Using a LowerUpper Symmetric Successive Overrelaxation Scheme”, AIAA Journal, Vol. 27, No. 12, 1989, pp. 1752-1760.  P. Bruel and A. Zh. 17, No. 4, 2010, pp. 531-542. Zh. Numerical simulation of a supersonic flow with transverse injection of jets // Journal of Applied Mechanics and Technical physics, 2004. 45, №3. 367-374.  D. P. Rizzetta (1995) Numerical Investigation of Supersonic Wing-Tip Vortices. 26th AIAA Fluid Dynamics Conference. 10, 1992, pp.
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