Numerical analysis technologies of the aircraft engine combustor are introduced mainly from the research of JAXA aviation technology directorate. In order to realize a practical numerical analysis for the design and development of aircraft engine combustors, it is necessary to generate a computational grid of complicated geometry at a practical cost. The applicability of high-performance computing systems is also important. HINOCA-AE, which is a CFD solver for aircraft engine combustor using the Cartesian grid with an immersed boundary method to satisfy these requirements, is introduced. Modeling of spray combustion processes, i.e. fuel atomization, spray dispersion, evaporation, chemical reaction, is also important. However, the modeling is insufficient because it is difficult to measure these processes in detail. Modeling researches of fuel atomization and droplet group evaporation using detailed numerical analysis are introduced.