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The interaction of a shock wave with a bubble features in many engineeringand emerging technological applications, and has been used widely to test newnumerical methods for compressible interfacial flows. Recently, density-basedalgorithms with pressure-correction methods as well as fully-coupledpressure-based algorithms have been established as promising alternatives toclassical density-based algorithms based on Riemann solvers. The current paperinvestigates the predictive accuracy of fully-coupled pressure-based algorithmswithout Riemann solvers in modelling the interaction of shock waves withone-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 appliedadvection schemes are found to only have a minor influence on the bubble shapeand position, as well as the behaviour of the dominant shock waves andrarefaction fans. For a gas bubble suspended in a liquid, however, the meshresolution has a critical influence on the shape, the position and thepost-shock evolution of the bubble, as well as the pressure and temperaturedistribution.

Numerical modelling of shock-bubble interactions using a pressure-based algorithm without Riemann solvers