Two-scale computation of N 2 –H 2 jet flow based on QGD and MMD on heterogeneous multi-core hardware

Kudryashova, T. A.; Karamzin, Yu. N.; Подрыга, В. О.; Polyakov, S. V.

doi:10.1016/j.advengsoft.2016.02.005

Cited by 14 publications

(4 citation statements)

References 8 publications

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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%

“…Expressions ( 20) -( 22) are calculated taking into account the boundary conditions ( 14), ( 15), ( 17), ( 18) by replacing the corresponding term for the boundary side of the triangle. As a result, the algorithm for recalculating the concentration at a new time step supposes the sequential calculation of expressions ( 21), ( 22) and (20).…”

Section: Defect and Diffusion Forum Vol 412mentioning

confidence: 99%

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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%

Section: Defect and Diffusion Forum Vol 412mentioning

confidence: 99%

Mathematical Modelling of Electrophysical Water Treatment

Kudryashova

Polyakov

Тарасов

2021

DDF

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“…If we are talking about multiscale modeling based on a combination of macro-and microscopic models, then the best, albeit computationally intensive, calculation option is to select boundary layers and carry out molecular calculations in them, followed by matching solutions at the interface. In our works, we used both approaches [Podryga, 2016;Kudryashova et al, 2018].…”

Section: т 14 № 4 с 781-794mentioning

confidence: 99%

A study of nonlinear processes at the interface between gas flow and the metal wall of a microchannel

Polyakov¹,

Podryga²

2022

CRM

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Работа посвящена исследованию влияния нелинейных процессов в пограничном слое на общий характер течений газа в микроканалах технических систем. Подобное исследование актуально для задач нанотехнологий. Одной из важных задач в этой сфере является анализ потоков газа в микроканалах в случае переходных и сверхзвуковых течений. Результаты этого анализа важны для техники газодинамического напыления и для синтеза новых наноматериалов. Из-за сложности реализации полномасштабных экспериментов на микро-и наномасштабах они чаще всего заменяются компьютерным моделированием. Эффективность компьютерного моделирования достигается как за счет использования новых многомасштабных моделей, так и за счет сочетания сеточных методов и методов частиц. В данной работе мы используем метод молекулярной динамики. Он был применен для исследования установления газового микротечения в металлическом канале. В качестве газовой среды был выбран азот. Металлические стенки микроканалов состояли из атомов никеля. В численных экспериментах были рассчитаны коэффициенты аккомодации на границе между течением газа и металлической стенкой. Исследование микросистемы в пограничном слое позволило сформировать многокомпонентную макроскопическую модель граничных условий. Эта модель была интегрирована в макроскопическое описание течения на основе системы квазигазодинамических уравнений. На основе такой преобразованной газодинамической модели были проведены расчеты микротечения в реальной микросистеме. Результаты были сопоставлены с классическим расчетом течения, не учитывающим нелинейные процессы в пограничном слое. Сравнение показало необходимость использования разработанной модели граничных условий и ее интеграции с классическим газодинамическим подходом.Ключевые слова: газодинамические микротечения в каналах с реальной структурой стенки, многомасштабное математическое моделирование, задача о граничных условиях, комбинация микроскопического и макроскопического подходов, параллельные вычисления Работа поддержана РНФ (проект № 21-71-20054). Расчеты проводились на гибридном суперкомпьютере К-60, установленном в Суперкомпьютерном центре коллективного пользования ИПМ им. М. В. Келдыша РАН.

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“…The first approach under consideration is the microscopic approach. As in atomic models describing the interaction of atoms and molecules [1][2][3][4][5], here we consider the interaction of individual particles represented in the form of cars with their drivers. Cellular automata (CA) models are a special type of microscopic models.…”

Section: Introductionmentioning

confidence: 99%

Simulation of traffic flows on road segments using cellular automata theory and quasigasdynamic approach

Churbanova¹,

Chechina²,

Trapeznikova³

et al. 2019

MathMon

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The research deals with the creation of mathematical tools for the simulation of vehicular traffic flows on complex urban transport networks using modern supercomputers. The goal of the present paper is further development of micro-and macroscopic models created by the authors earlier. The proposed 2D microscopic model is based on the cellular automata theory. In this work algorithms taking into account various driving strategies have been incorporated into the model. The model is implemented as a program package that includes User interface and Visualization module. The macroscopic model uses the continuous medium approximation: it is constructed by analogy with the quasigasdynamic system of equations. The one dimensional version is proposed in the paper, nevertheless, it allows reproducing changes in the number of lanes as well as possible road entrances and exits. Parallel algorithms adapted to high-performance computing systems have been created for both models, ensuring rapid computations on city road networks.

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Two-scale computation of N 2 –H 2 jet flow based on QGD and MMD on heterogeneous multi-core hardware

Cited by 14 publications

References 8 publications

Mathematical Modelling of Electrophysical Water Treatment

Mathematical Modelling of Electrophysical Water Treatment

A study of nonlinear processes at the interface between gas flow and the metal wall of a microchannel

Simulation of traffic flows on road segments using cellular automata theory and quasigasdynamic approach

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