Compressible solver for two-phase flows with sharp interface and capillary effects preserving accuracy in the low Mach regime
Abstract
We present a sharp interface approach for compressible two-phase flows that
preserves its accuracy in the low Mach regime. The interface between both fluids
is captured by a Level Set function via the Ghost Fluid method. In the low Mach
regime, classic Finite Volume compressible solvers lose accuracy on quadrangle
or hexahedral meshes and a low Mach correction is then necessary to reduce
the numerical dissipation. The sharp interface that separates both fluids, may
induce an important jump in the medium properties that induces additional
challenges for the design of a numerical scheme. Indeed, the well-known low
Mach fixes in the literature could lead to significant truncation errors when
the flow involves large density and sound speed ratios between both phases.
To preserve the accuracy of the numerical method, we propose a specific low
Mach fix for this interface problem that yields a uniform truncation error with
respect to the Mach number. Numerical results show significant evidences of
the efficiency and accuracy of the proposed low Mach correction
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