Russian researchers have developed a new method that significantly speeds up hydrodynamic calculations needed to simulate the motion of fluids around rotating disks with irregular surfaces. As reported by the HSE press service, this discovery will accelerate calculations in the field of electrochemistry. The method makes it possible to simulate problems in just a few hours, whereas previously it would have taken supercomputers days or weeks, MIEM Associate Professor Roman Gaidukov noted.
Scientists explain that many electrochemical reactions depend on how the liquid moves around disk electrodes (flat metal plates that rotate in the liquid). Even small irregularities on the surface of the disk can dramatically affect the liquid’s motion, creating swirling regions and changing the structure of the boundary layer. Previously, powerful supercomputers were needed to calculate such effects, but the new approach allows these calculations to be done on ordinary home computers.
Experts managed to achieve this by using a mathematical method that transforms three-dimensional problems into a series of two-dimensional problems, greatly facilitating calculations. This method is known in science as the method of multi-layer boundary layer structures, but Russian scientists only recently managed to create its rigorous mathematical formulation. The researchers believe that this approach can be used for more complex systems, which will allow for a deeper understanding of the processes occurring in multi-component systems and the improvement of existing models.
Source: Ferra
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