Role of Atwood number on flow morphology of a planar shock-accelerated square bubble: A numerical study

Abstract

Role of Atwood number on flow morphology of a planar shock-accelerated square bubble : a numerical study Singh, Satyvir 2020 Singh, S. (2020). Role of Atwood number on flow morphology of a planar shock-accelerated square bubble : a numerical study. Physics of Fluids, 32(12).

Contribution of Mach number on the evolution of Richtmyer-Meshkov instability induced by shock-accelerated square light bubble

“…A detailed validation study of the present numerical scheme for shock wave interaction with cylindrical and square bubbles was presented by Singh and co-authors [30,31,37], where good agreement was obtained for shock wave structures, positions, and bubble deformations. In the current study, the numerical results are validated with the experimental study of Zhai et al [32] for checking the validity of the present computational model, and the in-house developed explicit modal DG code, In this validation case, the gas square bubble is filled with nitrogen gas, while the ambient zone is composed of SF 6 gas.…”

“…These methods are locally conservative, stable, and high-order accurate methods which can easily handle complex geometries, irregular meshes with hanging nodes, and approximations that have polynomials of different degrees in different elements. In this paper, the two-dimensional compressible avier-Stokes-Fourier equations ( 1) are solved by an in-house developed explicit mixed-type modal DG solver based on structured meshes [37,38,58,63]. The computational domain is discretized into rectangular elements, and scaled Legendre polynomial functions are employed for the elements.…”

“…Two-dimensional compressible Navier-Stokes-Fourier equations equations for the laminar flow model are considered here, which are written in conservation form as [37,44,45]…”

“…In the above expressions, the symbols µ and κ represent the Chapman-Enskog shear viscosity, and the thermal conductivity, respectively. These expressions for the Chapman-Enskog linear transport coefficients can be employed as [37,44]…”

“…Various simulations based on heavy gas inhomogeneities with some simple geometries (square, rectangle, circle, and triangle) was performed numerically by Fan et al [36] to determine the source of the jet formation. Singh [37] investigated numerically the impacts of the Atwood numbers on the flow evolution of a shock-accelerated square bubble containing various gases at low Mach number (M s = 1.22), and observed that the Atwood number has a significant impact on the flow evolution with complex wave pattern, vortex creation, vorticity generation, and bubble deformation. Recently, Singh [38] explored numerically the thermal non-equilibrium effects of diatomic and polyatomic gases on the flow dynamics of a shock-accelerated square light bubble.…”