幾何学的衝撃波運動理論による反射衝撃波の収束

抄録

In the present work, a numerical scheme for the unsteady motion of shock waves in gases is developed based on Whitham's rule of geometrical shock dynamics (GSD). To investigate the effect of the initial shock strength on the shock reflection and diffraction on a wall, the two-dimensional focusing of cylindrical blast waves reflected from a concave elliptic wall is analyzed under various initial conditions. The results are compared with the finite difference solutions based on the piecewise linear method (PLM) as well as the experimental results. It is found that the geometrical shock dynamics is a practical and economical method to analyze the shock focusing process of the blast waves produced by exploding wires. Pressure change along the major axis of the ellipse shows good agreement when the present computations are compared with the experimental results as well as with PLM solutions.