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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024 Number 92, Pages 101–113 (Mi vtgu1126)

MECHANICS

Numerical modeling of high-speed water flow around a body of revolution with a blunt front end

A. N. Ishchenkoa, A. A. Aksenovb, V. S. Akol’zina, I. M. Biryukova, A. V. Chupasheva, A. S. Shestopalovaa, V. V. Shmelevb

a Tomsk State University, Tomsk, Russian Federation
b OOO “TESIS”, Moscow, Russian Federation

Abstract: In this paper, a quasi-stationary problem of high-speed water flow around a body of revolution with a blunt front end is solved theoretically and experimentally to identify the main processes and phenomena affecting the supercavity profile around the body under given conditions. It is shown that the considered problem can be reduced to a mechanical problem of determining the motion of an ideal incompressible fluid under the action of given forces. The FlowVision software package has been verified using the problem of high-speed water flow around blunt bodies of revolution in the presence of cavitation phenomena in the flow. The pressure and radial velocity distributions, as well as the supercavity profile shapes are obtained for free-stream flow velocities varying from $113$ to $356$ m/s. The average drag coefficient of the disk cavitator ($C_{x0} = 0.81$), which has been obtained numerically, complies with that obtained experimentally. Qualitative and quantitative agreement of the numerical and experimental results in terms of the supercavity profile around the projectile is derived within the accepted error of localization of the supercavity profile boundary from photographs.

Keywords: numerical modeling, drag coefficient, water, hydroballistic track, supercavitation, cavitation, cavity, projectile, FlowVision.

UDC: 531.3, 532.1

Received: 06.11.2024

DOI: 10.17223/19988621/92/9



© Steklov Math. Inst. of RAS, 2026