The objective of this study is to develop a preconditioning method for a multiphase compressible fluid flow solver using a homogeneous equilibrium mixture model. The mathematical model for fluid flow going through phase change uses density and temperature in the formulation, where the density represents the multiphase mixture density. The change of phase of the fluid is then explicitly determined using the equation of state (available via NIST REFPROP) of the fluid, which only requires temperature and mixture density. The method developed is based on a finite-volume framework in which the numerical fluxes are computed using either Roe's approximate Riemann solver or the modified Harten, Lax and Van-leer scheme (HLLC). A preconditioner, based on a generalization of Eriksson's preconditioner, is derived which possesses a well conditioned eigensystem for multiphase flow simulations. Multiphase capabilities of the solver are evaluated in cryogenic and non-cryogenic conditions. For cryogenic conditions the solver is evaluated by predicting cavitation on a quarter caliber hydrofoil in a tunnel using liquid nitrogen as the working fluid. For non-cryogenic conditions, water near boiling conditions is used to predict cavitation on a one caliber ogive. Cavitation predictions in both cryogenic and non-cryogenic cases are shows to agree well with available experimental data.
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