Turbulent separation flows arise when objects move in the oceans and in the atmosphere, and also when a liquid or gas flows past elements of the Earth's relief, technological and industrial plant, and constructional elements. Therefore, problems of turbulent separation flows cover the entire range of velocities of continuum motions and under such varied boundary conditions that the forms, properties, and manifestations of turbulent separation are inexhaustible. The aim of the present paper is to discuss the available results and the possibilities for further development of computational models of turbulent separation flows. The somewhat nominal classification of such models given in the paper reflects essentially the sequence of their historical development.