Centered Waves for the Two-dimensional Pseudo-Steady van der Waals Gas Satisfied Maxwell’s Law Around a Sharp Corner

Abstract

In this paper, the authors study the centered waves for the two-dimensional (2D for short) pseudo-steady supersonic flow with van der Waals gas satisfied Maxwell’s law around a sharp corner. In view of the initial value of the specific volume and the properties of van der Waals gas, the centered waves at the sharp corner are constructed by classification. It is shown that the supersonic incoming flow turns the sharp corner by a centered simple wave or a centered simple wave with right-contact discontinuity or a composite wave (jump-fan, fan-jump or fan-jump-fan), or a combination of waves and constant state. Moreover, the critical angle of the sharp corner corresponding to the appearance of the vacuum phenomenon is obtained.

Keywords

Two-dimensional Euler equations / Van der Waals gas / Centered simple wave / Composite wave

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