The purpose of the researches is development of a universal platform to effective simulate dynamic behavior and pattern formations of complex reaction-diffusion systems which deal with flow and transport phenomena concerning any continuum fluid with chemical reactions, bio-processes, combustion and phase transitions. The general idea of the project is the use of universal mathematical models, numerical and theoretical methods for their solution, to describe a wide range of the reacting flows problems within one basis. The laboratory was created within the framework of the “megagrant” of Ministry of Science and Higher Education of the Russian Federation (project №075-15-2019-1878).