These results include the simulation of the difficult problems of shock impingement on an ellipse and a more complex body with appendages, both with zero mass.
Computed example problems of shock wave and droplet interactions compare well with empirical measurements and show counterintuitive vaporization trends that are explainable from basic physical arguments.
Citizens Advice has called on the UK's mobile phone providers to do more to tackle the growing problem of "bill shock" before Saturday's World Consumer Rights Day, which is highlighting the poor treatment 7 billion mobile users around the world often receive.
The resulting scheme is tested in the problem of normal shock wave and that of force-driven Poiseuille flow.
Chisnell [[13]] provided analytical solutions to the problem of converging shock waves by using the singular points method.
By modifying the maximum-minimum wave speed, the problem of expansion shock and numerical instability in the expansion region is also remedied without sacrificing the exact capturing of contact discontinuity.
In order to verify and validate the scheme, we applied the scheme to a stiff problem of the shock wave structure for all Mach numbers and to the two-dimensional hypersonic rarefied and low-speed microscale gas flows past a circular cylinder.
