Numerical modelling of shock-bubble interactions using a pressure-based algorithm without Riemann solvers
shock-bubble interaction, shock capturing, interfacial flows, finite-volume methods, volume-of-fluid methods
The interaction of a shock wave with a bubble features in many engineering and emerging technological applications, and has been used widely to test new numerical methods for compressible interfacial flows. Recently, density-based algorithms with pressure-correction methods as well as fully-coupled pressure-based algorithms have been established as promising alternatives to classical density-based algorithms based on Riemann solvers. The current paper investigates the predictive accuracy of fully-coupled pressure-based algorithms without Riemann solvers in modelling the interaction of shock waves with one-dimensional and two-dimensional bubbles in gas-gas and liquid-gas flows. For a gas bubble suspended in another gas, the mesh resolution and the applied advection schemes are found to only have a minor influence on the bubble shape and position, as well as the behaviour of the dominant shock waves and rarefaction fans. For a gas bubble suspended in a liquid, however, the mesh resolution has a critical influence on the shape, the position and the post-shock evolution of the bubble, as well as the pressure and temperature distribution.
Tsinghua University Press
Fabian Denner,Berend G. M. van Wachem,Numerical modelling of shock-bubble interactions using a pressure-based algorithm without Riemann solvers.Exp. Comput. Multiph. Flow.2019, 1(4): 271–285.