  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.
