Mitsubishi Heavy Industries, Ltd. (MHI) has been developing thermal power generation systems burning carbon-free fuels, such as hydrogen, ammonia, etc., to achieve a carbon-neutral society. For the transition to carbon-free fuels, the development of combustion equipment (e.g., gas turbine combustors and boilers) is important. We have been utilizing high-precision combustion simulation technology as a design support tool in addition to combustion tests using elemental burners and actual combustion equipment. This report presents an overview of the high-precision combustion simulation technology that supports the energy transition of thermal power plants, as well as its verification and application examples.