| Most of the existing approaches in dealing with multiphase/multicomponent flows are limited to either single-phase multicomponent or multiphase single-component mixtures. To remove this limitation, a new model for multiphase/multicomponent flows with an arbitrary number of components in each phase is developed. The proposed model is based on a homogenized fluid mixture approach. The model is hyperbolic and gives an accurate value for the mixture speed of sound when compared to experimental data. A numerical method based on the homogenized mixture formulation and extension of Roe and HLLC scheme is developed. The new approach for modeling and numerical simulation of multiphase/multicomponent flows is applicable to a variety of flow configurations including shock waves, cavitation, single and multiphase turbulent flow, free surface flow, high-pressure and high-speed flows. In order to validate the proposed approach for a variety of flow regimes, a novel "idealized" fluid-mixture model is proposed and an exact solution for the multiphase/multicomponent Riemann problem in one dimension is derived. A number of existing benchmark problems for single-phase multicomponent flows becomes a subset of this new model problem. To verify the accuracy of the proposed numerical method and to demonstrate the physical capability of the proposed model, three classical benchmark problems (single-phase two-component shock tube, shock wave propagation in a single-phase two-component fluid, and single-phase shock-bubble interaction) and two novel benchmark problems for an "idealized" fluid-mixture model (two-phase shock-tube and two-phase rarefaction problems) are presented. Furthermore, the flexibility of the new approach is demonstrated by extending the methodology to cavitating and turbulent flows. Representative cavitation and multiphase/multicomponent subgrid scale models in the context of direct numerical simulations and large eddy simulations are considered and numerical simulations demonstrating these capabilities are performed.*.;*This dissertation is a compound document (contains both a paper copy and a CD as part of the dissertation). The CD requires the following system requirements: Windows MediaPlayer or RealPlayer. |
