Diffraction of a two-shock configuration by a convex cylindrical surface

• Published in: Technical physics 2006-07, Vol.51 (7), p.827-833
• Main Authors: Berezkina, M. K., Krasovskaya, I. V., Ofengeim, D. Kh
• Format: Article
• Language: English
• Subjects: Configurations; Cylindrical bodies; Euler-Lagrange equation; Numerical analysis; Shock wave reflection; Steady flow; Two dimensional bodies; Vorticity; Wave diffraction
• ISSN: 1063-7842; 1090-6525
• DOI: 10.1134/S1063784206070024

The subject of this work is numerical investigation into the diffraction of a shock-wave configuration by a convex cylindrical surface. The diffraction is a stage of interaction of a shock wave with a two-dimensional body. It is preceded by the stage of shock wave reflection from the front surface of the body, the back surface of which has a convex cylindrical shape. The two-or three-shock configuration formed on the front surface diffracts by the back cylindrical surface. The emphasis is on studying the diffraction of the two-shock wave configuration with the diffraction angle varying continuously. The object under study a wedge with an inclined front surface and convex cylindrical back surface. The results of numerical investigation are obtained by integrating the Euler equations. Flow features associated with the simultaneous diffraction of the incident and reflected shock waves are revealed. The evolution of the gasdynamic system (stagnation wave + TU layer) arising inside the diffraction area is studied. Breakaway and vorticity initiation are considered. It is shown that the positions of the line of separation and TU layer change in the course of diffraction. They merge together at the stage of steady flow. Comparison is made between the flow formed upon diffraction of the two-shock configuration by the cylindrical surface and the flow generated upon diffraction by horizontal and vertical surfaces.