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The objective of this paper is to give a preliminary assessment of several existing ap- proaches (compressible or incompressible, preconditioned or not preconditioned) to the numerical sim- ulation of low Mach compressible two-phase flow problems in more than one space dimension. We consider a broken dam problem of Martin and Moyce (Philos. Trans. Roy. Soc. London A, 244(1952), pp. 312-324) and a wave breaking problem of Yasuda et al. (Costal Engineering, 29(1997), pp. 317-346) as our benchmark tests, where the computed results obtained by using the numerical methods can be compared with the laboratory experiments for the basic solution validations.

Numerical simulations of low Mach compressible two-phase flows: Preliminary assessment of some basic solution techniques