The results of the authors' long-term activities in the field of LRE related to the development of technologies for computational and physical modeling of working processes both in individual units of LRE and in the engine as a whole are presented. The methods developed by the authors underlie the adoption of scientifically based technical solutions at all stages of the designer's work on the design of a new engine. For specialists in the field of rocket and space technology, teachers, graduate students and university students.