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A three-dimensional homogeneous equilibrium model (HEM) has been developed and implemented into an engine computational fluid dynamics (CFD) code KIVA-3V. The model was applied to simulate cavitating flow within injector nozzle passages. The effects of nozzle passage geometry and injection conditions on the development of cavitation zones and the nozzle discharge coefficient were investigated. Specifically, the effects of nozzle length (L/D ratio), nozzle inlet radius (R/D ratio) and K or KS factor (nozzle passage convergence) were simulated, and the effects of injection and chamber pressures, and time-varying injection pressure were also investigated. These effects are well captured by the nozzle flow model, and the predicted trends are consistent with those from experimental observations and theoretical analyses.

High-pressure diesel sprays were simulated with an Eulerian-Lagrangian Spray and Atomization (ELSA) model, based on a multidimensional engine computational fluid dynamics (CFD) code KIVA-3V. The atomization of the dense liquid core in the near-nozzle region was modeled with turbulent mixing of the diesel fuel with the ambient gas. Under the continuum assumption of a fuel-air mixture in this region, two transport equations were solved for the liquid mass fraction and liquid surface area density. At a certain downstream location where the spray became dilute, a switch from the Eulerian to the Lagrangian approach was made to benefit from the advantages of the conventional Lagrangian droplet models, such as droplet collision and turbulent dispersion modeling. The droplet size and velocity to be initialized at this switch were determined by the local CFD cell properties.