Simple Waves for Two-Dimensional Pseudo-Steady Compressible Euler System

LAI Geng; SHENG Wan-cheng

doi:10.3879/j.issn.1000-0887.2010.07.004

Volume 31 Issue 7

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LAI Geng, SHENG Wan-cheng. Simple Waves for Two-Dimensional Pseudo-Steady Compressible Euler System[J]. Applied Mathematics and Mechanics, 2010, 31(7): 791-800. doi: 10.3879/j.issn.1000-0887.2010.07.004

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Simple Waves for Two-Dimensional Pseudo-Steady Compressible Euler System

doi: 10.3879/j.issn.1000-0887.2010.07.004

Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

Received Date: 1900-01-01
Rev Recd Date: 2010-05-27
Publish Date: 2010-07-15

Abstract

Abstract

A simple wave was defined as a flow in a region whose image is a curve in phase space. It is well known that "the theory of smiple waves is fundamental in building up the solutions of flow problems out of elementary flow patterns". Geometric construction of simple waves for the 2D pseudo-steady compressible Euler system were mainly concerned with. Based on the geometric in terpretation the expansion or compress ion smiple wave flow construction around a pseudo-stream line with a bend part was constructed. It is a building block which appears in the global solution to four contact discontinuities Riemann problems.
- self-similar Euler system,
- pseudo-stream line,
- generalized characteristic analysis,
- smiple wave,
- sonic circle,
- sonic edge

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References(15)

References

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