High-fidelity simulations of Richtmyer-Meshkov flows triggered by a forward-pentagonal bubble with different Atwood numbers. (English) Zbl 07929205
Summary: In fluid dynamics, the Atwood number is a dimensionless parameter that quantifies the density difference between two fluids. It is calculated as \(At = (\rho_1 - \rho_2)/(\rho_1 + \rho_2)\), where \(\rho_1\) and \(\rho_2\) represent the densities of the respective fluids. This research employs high-fidelity numerical simulations to examine the Atwood number impacts on Richtmyer-Meshkov (RM) flows triggered by a shocked forward-pentagonal bubble. Five distinct gases – \(\mathrm{SF}_6\), Kr, Ar, Ne, and He – are considered within the forward-pentagonal bubble, encompassed by \(\mathrm{N}_2\) gas. In these simulations, a third-order discontinuous Galerkin approach is applied to solve a two-dimensional set of compressible Navier-Stokes-Fourier (NSF) equations for two-component gas flows. To discretize space, hierarchical modal basis functions based on orthogonal-scaled Legendre polynomials are employed. This approach simplifies the NSF equations into a set of ordinary differential equations over time, which are solved using an explicit third-order SSP Runge-Kutta algorithm. The numerical results highlight the notable impact of the Atwood number on the evolution of RM flows in the shocked forward-pentagonal bubble, a phenomenon not previously reported in the literature. The Atwood number exerts a significant influence on the flow patterns, leading to intricate wave formations, shock focusing, jet generation, and interface distortion. Moreover, a comprehensive analysis of the these impact elucidates the mechanisms driving vorticity formation during the interaction process. Additionally, the study conducts a thorough quantitative examination of the Atwood number impacts on the flow fields based on integral quantities and interface features.
MSC:
| 76-XX | Fluid mechanics |
Keywords:
discontinuous Galerkin; Richtmyer-Meshkov flows; shock wave; forward-pentagonal; Atwood numberReferences:
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