Abstract
Shock wave focusing in a log-spiral duct is numerically studied by a finite volume method. A MUSCL TVD scheme with flux-vector splitting is applied to the Euler equations. Results show that an initially planar shock wave accelerates along the log-spiral wall and deforms in shape, but no reflected shock wave appears during implosion. With further increasing distance, the pressure gradient along the shock wave becomes stronger, and eventually a second shock wave forms behind the incident shock wave ; a triple point and a shear layer appear. After focusing, the reflected shock wave moves outward. An interaction between the reflected shock wave and the second shock wave produces a triple point. As a result, a second shear layer appears. At the same time, another interaction between the reflected shock wave and the original shear layer which formed during implosion also produces a shear layer. These two interactions are coupled to produce a strong vortex behind the reflected shock wave.
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