A Note on the Unified Coordinate System for Computing Shock Waves

Wu, Zhanjun

doi:10.1006/jcph.2002.7078

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Cited by 8 publications

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“…The equivalence between an expansion fan in different classical coordinate systems has been studied in Reference [6] where it was shown that an expansion fan can degenerate to a linear wave, become a compressible wave, or remain to be an expansion wave, when the original system is replaced by another coordinate system. In Reference [7], the equivalence of weak solutions between two classical coordinate systems is also studied. This paper will be organized as follows.…”

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confidence: 99%

Compressible flow equations based on moving coordinates determined by the wave speed

Chen

Gao

2006

Numerical Methods in Fluids

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SUMMARYIn this paper, we consider moving coordinates with a speed determined by the wave speed. This allows us to move the coordinates at the speed of contact discontinuities, expansion fans, or other wave structures. While recognizing that the Lagrangian coordinates, which can well resolve the sliplines, behave badly for expansion waves, we demonstrate that a coordinate system moving at the characteristic speed of the expansion fan behaves much better for expansion waves. Moreover, the new coordinate system allows one to well capture the shock wave, the slipline and the expansion waves at the same time.

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confidence: 99%