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Supersonic flow past a concave double wedge

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Abstract

The supersonic flow past a concave double wedge is discussed. Because of the interaction between the outer shock attached at the head of the wedge and the inner shock issued from the concave corner, there is a rarefaction wave issued from the intersection of the outer and inner shock. The rarefaction wave is reflected by the outer shock and the wedge infinitely, while the outer shock is also bent due to interaction. The global existence of the solution is proved under the assumptions that the outer shock is weak and the difference of two slopes of the double wedge is small. Meanwhile, a rigorous proof of the asymptotic behavior of the global solution is given. The property is often ap plied to numerical computation.

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Authors and Affiliations

  1. Institute of Mathematics, Fudan University, 200433, Shanghai, China

    Chen Shuxing

Authors
  1. Chen Shuxing
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Additional information

Project partially supported by the National Natural Science Foundation of China and Doctoral Programme Foundation of IHEC.

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Shuxing, C. Supersonic flow past a concave double wedge. Sci. China Ser. A-Math. 41, 39–47 (1998). https://doi.org/10.1007/BF02900770

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  • DOI: https://doi.org/10.1007/BF02900770

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