Department of Thermal Power Plants of MPEI proposed the concept of a boiler of 1000 MW for advanced ultra-supercritical parameters steam generation with M-shaped profile with invert furnace and output collectors which are located under a sloping gas boiler pass. The feasibility of using ultra super supercritical parameters is associated with the possibility of increasing the unit efficiency by 4.2%. The proposed scheme of coal combustion is a system of vertical-horizontal tangential flames. For the analysis of the scheme it is offered to use physical and mathematical methods of modeling of the boiler furnace. Physical modeling allows determining the trajectories of jets and revealing their ejection capacity. Mathematical modeling is carried out using the ANSYS aerodynamics computing complex and provides an opportunity to validate and verify the results obtained on the physical model. Then with the help of the ANSYS program, the modeling of the combustion process in a full-scale version of the boiler furnace will continue. These methods are used at the Department of Thermal Power Plants of MPEI for solving problems of the organization of aerodynamics and combustion in the boiler furnaces of power boilers with traditional profiles and can be applied to research solutions for boilers of new generations.