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Computational analysis of shock wave diffraction for convex slabs

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Abstract

The present study is centered on the vortexlets in the shock wave diffraction over three different slabs (60°, 90°, and 120°) for shock Mach numbers of 1.65, and 3.0. The third-order accurate implicit solver is built on advection upstream splitting along with least squares cell-based method and utilizes the benefits of refined mesh in the regions having high discontinuities. Vortexlet formation, pressure ratio and specific heat flux on the step wall, and movement of the separation point are some of the key aspects of the present analysis. For the numerical simulation of the moving shock, the Finite Volume Method is utilized to find the solutions of the governing equations. Vortexlets, secondary shock, embedded shock, contact surface, slipstream, expansion fan, and vortex are captured precisely. Apart from isopycnics; isobars, isotherms, and velocity contours are plotted as well. Our results emphasize the fact that there exists two types of vortexlets, which are different in their positions apart from their driving mechanisms.

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Data availability

Data sets obtained in this research are available from the corresponding author through e-mail on reasonable request.

Abbreviations

2-D:

Two dimensional

CS:

Contact surface

d.r.:

Density ratio

DTP:

Double triple point

ES:

Embedded shock

FDS:

Flux difference splitting

FVS:

Flux vector splitting

InT:

Internal terminator

IS:

Incident shock

LDEW:

Lower diffracted expansion wave

LREW:

Last running expansion wave

MUSCL:

Monotonic upstream-centered scheme for conservation laws

p.r.:

Pressure ratio

PV:

Primary vortex

RS:

Recompression shock

SInS:

Secondary internal shock

SL:

Shear layer

STP:

Single triple point

SV:

Secondary vortex

t.r.:

Temperature ratio

UDSW:

Upper diffracted shock wave

VTE:

Vorticity transport equation

1:

Parameters ahead of incident shock

2:

Parameters behind incident shock

γ:

Specific heat ratio

ρ:

Density

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Acknowledgements

The authors would like to thank the Departmental Head (Aerospace Engineering and Applied Mechanics, IIEST, Shibpur) for giving access to high performance computing facilities in a CAD laboratory, which is 24-h accessible.

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Authors and Affiliations

  1. Department of Aerospace Engineering and Applied Mechanics, IIEST, Shibpur, Howrah, West Bengal, 711103, India

    Debiprasad Banerjee & Pabitra Halder

  2. Mechanical Engineering Department, Heritage Institute of Technology, Kolkata, West Bengal, 700107, India

    Debiprasad Banerjee

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  1. Debiprasad Banerjee
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Correspondence to Debiprasad Banerjee.

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Banerjee, D., Halder, P. Computational analysis of shock wave diffraction for convex slabs. J Braz. Soc. Mech. Sci. Eng. 47, 336 (2025). https://doi.org/10.1007/s40430-025-05655-1

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