The nature of the triple point singularity in the case of stationary reflection of weak shock waves

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• 作者：E. I. Vasil’ev
• 关键词：irregular reflection ; triple pont ; von Neumann paradox ; logarithmic singularity ; discontinuity fitting
• 刊名：Fluid Dynamics
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：51
• 期：6
• 页码：804-813
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Fluid- and Aerodynamics; Classical and Continuum Physics; Classical Mechanics; Engineering Fluid Dynamics;
• 出版者：Pleiades Publishing
• ISSN：1573-8507
• 卷排序：51

文摘

The structure of flow in the vicinity of a triple point in the problem of stationary irregular reflection of weak shock waves is numerically investigated within the framework of the Euler model, including the von Neumann paradox range. To improve the accuracy of the solution near singular points a new technology including a grid contracted toward the triple point and the discontinuity fitting is applied. It is shown that in the four-wave flow pattern the curvatures of the tangential discontinuity and the Mach front at the triple point are finite. The singularity is concentrated only in a sector between the reflected wave front and the expansion fan. When the three-wave flow pattern is realized, the curvatures of the tangential discontinuity and both wave fronts at the triple point are infinite. On the range of weak and moderate shock waves the logarithmic singularity in subsonic sectors near the triple point conserves up to transition to the regular reflection.