Mathematical modeling plays an important role in industry when a physical model is unprofitable, cannot be implemented due to the complexity of the problem, or more accurate values need to be obtained. In particular, the pressing issue of physically plausible fluid modeling is not a new challenge for industry. Despite a lot of research in recent decades, this area remains relatively unexplored and many phenomena lack a general description. As a result, in the industry the main difficulty in fluid modeling lies in the lack of a universal approach and the low predictability of emerging phenomena such as turbulence. For most systems of differential equations, which become the basis of models, it is impossible to find solutions in a general form, so it is necessary to consider individual cases. The most common approaches use the Navier-Stokes equation, however, for three dimensions, solutions can only be found for special cases. Nevertheless, it is the most complete way to describe the behavior of a fluid, which takes into account viscosity and, if necessary, can be supplemented with equations to describe the phenomena of electro- and magnetohydrodynamics, as well as dynamic meteorology. Although high-precision models allow saving physical resources, they consume a large amount of computing resources, so it is advisable to carry out modeling on a high-performance computer or super computer.