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Flow past one and two adjacent square cylinders based on a two-fluid turbulence model Cover

Flow past one and two adjacent square cylinders based on a two-fluid turbulence model

Open Access
|Dec 2025

Abstract

This paper presents an improved version of the Spalding two-fluid turbulence model developed by Malikov. The model is applied to numerically simulate turbulent flows past one and two square cylinders at a Reynolds number of Re = 47,000. The SIMPLE algorithm with a semi-implicit scheme and second-order accuracy is used to solve the equations. The code developed by the authors was tested on a two-dimensional benchmark problem of flow past a single square cylinder and then applied to crossflow past two square cylinders located side by side. The ratio of the distance between the cylinders, T/d, varied from 0 to 5, which allowed us to identify three characteristic flow regimes: single, slot (interference), and antiphase synchronous. The simulation results were compared with experimental data and showed good agreement in terms of pressure distribution, vortex wake structure, and aerodynamic force coefficients. Comparison with RANS and LES models confirmed that Malikov’s model provides comparable accuracy with significantly lower computational costs.

DOI: https://doi.org/10.2478/johh-2025-0033 | Journal eISSN: 1338-4333 | Journal ISSN: 0042-790X
Language: English
Page range: 443 - 456
Submitted on: Apr 12, 2025
Accepted on: Dec 4, 2025
Published on: Dec 18, 2025
Published by: Slovak Academy of Sciences, Institute of Hydrology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Murodil Madaliev, Zokhidjon Abdulkhaev, Mumin Nabiev, Abdurakhim Dustmatov, published by Slovak Academy of Sciences, Institute of Hydrology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.