531.6.011.32:532.582.4 Method for organizing an iterative process in modeling subsonic separated flow around elongated bodies using an equivalent surface and cubic splines

Timofeev V. N. (Bauman Moscow State Technical University)

MATHEMATICAL MODELING, SUBSONIC SEPARATION FLOW, THE CONCEPT OF VISCO–INVISCID INTERACTION, THE EQUIVALENT OF THE SURFACE, SMOOTHING CUBIC SPLINE


doi: 10.18698/2309-3684-2021-4-80102


In the aspect of improving the methodology of mathematical modeling of subsonic detachable flow around elongated bodies with partial implementation of the concept of viscosity-inviolable interaction, the issues of organizing the iterative process of constructing the surface of an equivalent body are considered. A flow diagram with a semi-infinite equivalent surface was used. Numerical modeling was carried out according to the algorithms of the technique using the method of discrete vortices. For greater versatility, when constructing a calculated grid on the surface of an equivalent body, approximation with smoothing cubic splines was used. Data on the influence of the shape of the tail section of the equivalent surface on the distribution of speed and pressure during axisymmetric flow around bodies with a bottom section are presented.


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