I V Laptev (АО ГНЦ "Центр Келдыша") :
Articles:
Gordonov A. O. (АО ГНЦ "Центр Келдыша"), Laptev I. V. (АО ГНЦ "Центр Келдыша"), Sidorenko N. Y. (АО ГНЦ "Центр Келдыша"/Moscow Institute of Physics and Technology), Ivanov M. Y., Malahov A. S., Resh G. F.
doi: 10.18698/2309-3684-2023-2-6789
The problems of mathematical modeling of three–dimensional laminar and turbulent motion of a viscous incompressible fluid in multilayer permeable structures – porous mesh materials are considered. Each layer of the material is a woven metal mesh with square cells of micron sizes. Porous mesh materials are widely used in space, chemical, oil and gas, nuclear and other industries, for example, as hydraulic filters. Such materials have a complex internal structure and a variety of possible geometric configurations. Therefore, in the general case, the nature of the functional dependence of the hydraulic resistance that a material sample exerts on the flow of fluid flowing in its pore channels from the Reynolds number is not known. To determine this dependence on the existing material, as well as to create a material with a predetermined hydraulic resistance, computational fluid dynamics tools were used. The domestic engineering analysis system "Logos" and the author's program code developed in Keldysh Research Center were used. The physical parameters of liquid mass transfer in a porous filter material and its hydraulic resistance are determined by the methods of control volumes on an unstructured computational grid for integrating the Navier-Stokes equations and Lattice Boltzmann Method. It is established that the theoretical methods used allow us to estimate from above the functional dependence of the hydraulic resistance of a porous mesh material on the Reynolds number in the range of values from 0.01 to 500. To verify the mathematical model an experimental setup was made with the help of which a cycle of hydraulic spills of sample of porous mesh material was performed. The numerical solutions obtained are consistent with the available analytical dependencies obtained in the works of domestic and foreign scientists and the results of experimental studies.
Городнов А.О., Лаптев И.В., Сидоренко Н.Ю., Иванов М.Ю., Малахов А.С., Реш Г.Ф. Математическое моделирование процессов ламинарной и турбулентной фильтрации жидкой несжимаемой среды в пористых сетчатых материалах. Математическое моделирование и численные методы, 2023, № 2, с. 67–89.
621.454.2 Numerical modeling hydraulic characteristics of porous mesh materials
Koroleva A. P. (Научно-технологический университет "Сириус"), Minin S. V. (Научно-технологический университет "Сириус"), Gordonov A. O. (АО ГНЦ "Центр Келдыша"), Laptev I. V. (АО ГНЦ "Центр Келдыша"), Petrova S. V. (АО ГНЦ "Центр Келдыша")
doi: 10.18698/2309-3684-2026-1-2248
This work presents an automated methodology for determining the hydraulic characteristics of porous mesh materials (PMMs) using computational modeling techniques. The proposed approach incorporates parameterized geometric models of PMMs with various weaving patterns, procedures for generating the discrete model and computational setup, as well as automated methods for conducting simulations and processing results. An investigation was performed to assess the adequacy of the assumptions adopted within the methodology, including the types and parameters of filament contact spots in the idealized geometry, the representative element size, and mesh-convergence behavior. These studies were carried out using validation data obtained from the open literature. It is demonstrated that the developed methodology provides an accuracy of pressure-drop prediction for fluid flow through PMMs within 6 – 17 % across a wide range of Reynolds numbers and different PMM types, which significantly surpasses the accuracy of universal correlation dependencies whose errors reach 30–180%. The results confirm the validity of using idealized geometric models of PMMs, provided that the structure of the representative element and the filament-contact model are selected appropriately.
Королева А.П., Минин С.В., Городнов А.О., Лаптев И.В., Петрова С.В. Численное моделирование гидравлических характеристик пористых сетчатых материалов. Математическое моделирование и численные методы, 2026, № 1, с. 22–48.