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The onset of the Darcy-ferroconvection flow model in a couple stress fluid subjected to a time-periodic magnetic field
Computer Research and Modeling, 2025, v. 17, no. 2, pp. 213-223This study investigates the influence of a time-periodic (modulation) magnetic field upon the development of ferroconvection in a densely packed medium saturated with couple stress ferromagnetic fluid. The Darcy model is used to describe the flow in porous medium. The research is important from practical and theoretical point of view. A time-periodic magnetic field is essential in circumscribing channels where the effect of gravity is less or nonexistent to generate circulation. There are numerous engineering uses for this in the manufacturing of magnetic field sensors, charged particle electrode materials, modulators, magnetic resonators, and optical devices. The resulting physical eigenvalue problem is dealt with by using isothermal boundary conditions and the regular perturbation technique with a small time-periodic amplitude. The onset criteria were defined on the supposition that the exchange of stability principle holds. The shift in the thermal Rayleigh number is dependent on the associated parameters: magnetic parameter, Vadasz number, couple stress parameter, porosity, and frequency of the time-periodic function. The results in this case indicate that the onset of ferroconvection can be enhanced or reduced by appropriate changes in the governing parameters.
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Discrete-element simulation of a spherical projectile penetration into a massive obstacle
Computer Research and Modeling, 2015, v. 7, no. 1, pp. 71-79Views (last year): 5. Citations: 5 (RSCI).А discrete element model is applied to the problem of a spherical projectile penetration into a massive obstacle. According to the model both indenter and obstacle are described by a set of densely packed particles. To model the interaction between the particles the two-parameter Lennard–Jones potential is used. Computer implementation of the model has been carried out using parallelism on GPUs, which resulted in high spatial — temporal resolution. Based on the comparison of the results of numerical simulation with experimental data the binding energy has been identified as a function of the dynamic hardness of materials. It is shown that the use of this approach allows to accurately describe the penetration process in the range of projectile velocities 500–2500 m/c.
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The modeling of dense materials with spherepolyhedra packing method
Computer Research and Modeling, 2012, v. 4, no. 4, pp. 757-766Views (last year): 7. Citations: 6 (RSCI).The paper presents a new dense material modeling method based on spherepolyhedra packing algorithm, describes mathematical model of spherepolyhedra and discuss the results of computation experiments on different spherepolyhedra packs. The results of experiments show convergence of proposed method. Experiments include investigations of spherepolyhedra packs with different shapes, polydisperse and oriented structures. Presented method would be applied to virtual design of dense materials composed of non-spherical particles.
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The optimization approach to simulation modeling of microstructures
Computer Research and Modeling, 2013, v. 5, no. 4, pp. 597-606Views (last year): 4. Citations: 7 (RSCI).The paper presents an optimization approach to microstructure simulation. Porosity function was optimized by numerical method, grain-size model was optimized by complex method based on criteria of model quality. Methods have been validated on examples. Presented new regression model of model quality. Actual application of proposed method is 3D reconstruction of core sample microstructure. Presented results suggest to prolongation of investigations.
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International Interdisciplinary Conference "Mathematics. Computing. Education"




