In this study, combustion process is simulated for two-phase fuel flows (droplets of the liquid fuel and gas mixture of the fuel and oxygen) using a combination of ghost fluid and level set method. The level set method is used to determine the liquid fuel region from the gas mixture region, while the ghost fluid method is used to compute them accordingly. The modified interfacial Riemann problem uses for the phase change due to evaporation process, and surface tension of the liquid fuel. A shock wave is introduced at the left end of the combustion chamber to start the deflagration to detonation transition (DDT) process. The obtained numerical results are used to study and analyze the combustion process and physical insights. The role of droplet size in DDT process and length is determined through numerical results. The relationship of detonation cell size and droplet size is also studied.
