As the Mach number tends to zero under well-prepared data, the bi-fluid compressible system converges to the incompressible non-homogeneous fluid system with transported volume fractions.
Low-Mach-number limit for two-phase flows
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abstract
This paper is devoted to the formal study of the low-Mach-number limit for solutions of the compressible Navier-Stokes or Euler equations for different types of fluids.We first review the different results obtained in the case of flows consisting of one phase. Then, we focus on the low-Mach-number limit for two-phase flows, considering different types of systems: with an algebraic closure or a PDE closure for the pressure, with one single or two different velocities, without or with entropy.
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math.AP 1years
2026 1verdicts
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Low-Mach-number limit of a compressible two-phase flow system with algebraic closure
As the Mach number tends to zero under well-prepared data, the bi-fluid compressible system converges to the incompressible non-homogeneous fluid system with transported volume fractions.