Abstract
High resolution multi-fluid solvers are developed, using a fifth order weighted essentially non-oscillatory approach for spatial reconstruction and a third order Runge-Kutta scheme for temporal integration. Several flux evaluation schemes, comprising of exact and approximate Riemann solvers available in the literature are incorporated. Multi-fluid simulation capability is achieved using the ghost fluid method. Two-dimensional geometry is considered, and the Euler equations of gas dynamics are used as the basic flow model in view of the fact that the viscosity effects are negligible for most of the time of interest. Relative performance of these solvers is evaluated for several one- and two-dimensional test cases, before simulating the shock-bubble interaction. Three Mach numbers and air-Helium gas combination is studied and the results are presented in this study. Numerical schlieren images are rendered for qualitative study while time evolution of several integral features such as the axial and lateral deformations, the translational velocity of the bubble, the circulation in the flow-field, and the stretching rates of the bubbles are analyzed for quantitative studies. The results are consistent with the strength of baroclinic source term.
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