Geodesic
Accurate dependence for determining the pressure distribution on a sphere at an arbitrary Mach number of a supersonic incoming flow
Matematičeskoe modelirovanie, Tome 26 (2014) no. 9, pp. 141-148

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Setting of initial data is required for solution of stationary problems of supersonic flow over blunt bodies by time-dependent setting method. The closer the initial data are to the sought solution, the quicker such solution can be obtained. A rule of local spheres is applied in many cases when initial pressure on a blunt body of an arbitrary shape is taken the same as on a sphere with an equal incidence angle of respective elements of these surfaces to the incoming flow. A simple analytical dependence has been obtained which gives practically accurate pressure distribution jn a sphere for the whole range of Mach numbers of incoming flow.
Keywords: supersonic gas flow, three-dimensional gas flows, sonic point. 
@article{MM_2014_26_9_a9,
     author = {V. P. Kotenev},
     title = {Accurate dependence for determining the pressure distribution on a sphere at an arbitrary {Mach} number of a supersonic incoming flow},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {141--148},
     publisher = {mathdoc},
     volume = {26},
     number = {9},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_9_a9/}
}
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V. P. Kotenev. Accurate dependence for determining the pressure distribution on a sphere at an arbitrary Mach number of a supersonic incoming flow. Matematičeskoe modelirovanie, Tome 26 (2014) no. 9, pp. 141-148. http://geodesic.mathdoc.fr/item/MM_2014_26_9_a9/