Application of the Double Potential Method to Simulate Incompressible Viscous Flows

Kudryashova, T. A.; Polyakov, Sergey V.; Тарасов, Н. И.

doi:10.1007/978-3-030-22747-0_42

Cited by 3 publications

(2 citation statements)

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“…This work is a continuation of our research on the topic of electromagnetic influence on water harmful impurities [20][21][22][23]. In our previous studies, we considered the impact of a magnetic field on metal impurities.…”

Section: Discussionmentioning

confidence: 99%

Mathematical Modelling of Electrophysical Water Treatment

Kudryashova

Polyakov

Тарасов

2021

DDF

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The problem of mathematical modeling the processes of water treatment from charged particles by electric field is considered. The problem is relevant due to the mass use of cleaning technologies in industry, medicine or the national economy. At the present stage, a significant improvement of purification system quality and the introduction of the technologies for the regeneration of their filtration components are required. Mathematical simulation using computer and supercomputer calculations helps to accelerate the development of new devices and cleaning technologies. On the basis of the chosen purification technology, it is important to create a numerical simulation apparatus with a controlled high accuracy of the calculations. For this purpose, we use a quasi-hydrodynamic (QHD) model of a viscous incompressible fluid flow, a system of convection-diffusion equations taking into account the action of the Lorentz force to describe the propagation of harmful impurities in aqueous medium, and an equation for the electric field potential [1, 2]. The numerical algorithm is based on the finite volume method. It is applied in the case of irregular unstructured meshes. This is important for problems of real two-dimensional (2D) and three-dimensional (3D) geometry. Time integration is performed according to an explicit scheme, which simplifies the procedure for parallelizing the algorithm. The proposed approach was tested on the examples of 2D and 3D geometry with various locations of the electrodes and various values of the potentials. The obtained results of the concentration of the ionic impurities show the possibility of this method to purify water from 10 to 40 percent. A design of a water purifier based on electrophysical purification technology can be developed on the base of this study.

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Section: Discussionmentioning

confidence: 99%

Mathematical Modelling of Electrophysical Water Treatment

Kudryashova

Polyakov

Тарасов

2021

DDF

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“…The approximation of the time derivative was performed using an explicit scheme. This numerical algorithm is described in detail in [9].…”

Section: Introductionmentioning

confidence: 99%

Computation of 3D Water Flows by the Double Potential Method for the Simulation of Electromagnetic Water Purification

Тарасов¹,

Polyakov²,

Kudryashova³

2020

EPJ Web Conf.

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In this paper, we discuss the modeling of the electromagnetic water purification. This model requires a velocity distribution in a study domain. For that purpose, the double potential method for simulating incompressible viscous fluid flows was used. The system of equations was discretized with the help of the finite volume method using an exponential transformation for the vortex calculation. As a result, a software implementation of the developed numerical scheme was obtained. The simulation of the three-dimensional flow was carried out in a study domain. The results were compared with Ansys CFD. The comparison showed a good degree of consistency between the two distributions. Using the obtained velocity field, we simulated the process of water purification using the induction of the electromagnetic field.

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