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The main purpose of this study is to reveal the mechanism of stratified- mixture formation in gasoline direct-injection engines. So far the authors have developed a computer code "GTT" for numerically simulating the fuel spray behavior in fuel injection engines, and have proposed the physical models for droplet breakup, spray impingement and liquid film formation on a wall, and evaporation of a droplet and liquid film, which have been applied mainly to the sprays injected from hole nozzles for diesel engines. In this study, in order to numerically simulate the hollow-cone sprays injected from a swirl injector for gasoline direct-injection engines, a physical model for hollow-cone sprays has been proposed. The injection boundary condition and the model coefficients for the droplet breakup model (improved wave breakup model) have been determined appropriately.