Abstract
We consider a transformation of coordinates that maps the infinite region above the curve y=f(x) (f(x) ≥ 0) onto the entire upper halfplane. The original region is interpreted as an exterior flow region, and the curve described by the function y=f(x) as the flow boundary. The coordinate transformation rectifies the curvilinear boundary and can be applied for numerical solution of the equations of motion of a viscous fluid in a region with a curvilinear boundary of arbitrary shape.
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 73, pp. 42–47, 1992.
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Ferdigalov, L.Y. Transformation of coordinates with grid condensation toward the curvilinear boundary of the exterior flow region and boundary rectification. J Math Sci 71, 2658–2661 (1994). https://doi.org/10.1007/BF02114040
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DOI: https://doi.org/10.1007/BF02114040