3-D Axisymmetric Transonic Shock Solutions of the Full Euler System in Divergent Nozzles
2021 ◽
Vol 240
(1)
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pp. 467-563
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AbstractWe establish the stability of 3-D axisymmetric transonic shock solutions of the steady full Euler system in divergent nozzles under small perturbations of an incoming radial supersonic flow and a constant pressure at the exit of the nozzles. To study 3-D axisymmetric transonic shock solutions of the full Euler system, we use a stream function formulation of the full Euler system for a 3-D axisymmetric flow. We resolve the singularity issue arising in stream function formulations of the full Euler system for a 3-D axisymmetric flow. We develop a new scheme to determine a shock location of a transonic shock solution of the steady full Euler system based on the stream function formulation.
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1999 ◽
Vol 153
(1)
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pp. 82-100
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2012 ◽
Vol 370
(1964)
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pp. 1703-1719
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