Here, an unsteady matrix-free implicit preconditioning formulation for multi-phase flows with arbitrary
equation of state based on the AUSMD type Riemann solvers are developed for multi-phase flows at allspeed.
The numerical stability problem caused by the multi-scale speed of sound due to uncertain dissipation
terms in the current schemes that can be resolved by rescaling the eigenvalues of the Euler type system
equations to enhance computational convergence and keep accuracy. This paper considers a homogeneous
two-phase mixture model with the assumption of kinematics and thermodynamics equilibriums. The
thermodynamics behaviors of liquid phase, vapor phase and their phase transitional process are described by
a temperature dependent hybrid equation of state which includes a mass-fraction averaged formula of watervapor
saturation process. The proposed numerical fluxes are validated against several benchmark tests and
and enables general equations of state to be handled for complicated multiphase flow simulations.
1st Association of Computational Mechanics Taiwan (ACMT) Conference