The Multiscale Hybrid Method with a Localized Constraint. I. A Modified Control Volume Function for the Hybridized Mass and Momentum Equations

M. Bakumenko; V. Bardik; D. Nerukh

doi:10.15407/ujpe68.8.517

The Multiscale Hybrid Method with a Localized Constraint. I. A Modified Control Volume Function for the Hybridized Mass and Momentum Equations

M. Bakumenko, V. Bardik, D. Nerukh

Taras Shevchenko National University of Kyiv

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A new hybrid multiscaling model has been developed on the basis of the modified control volume function. Following the two-phase analogy of the same substance, the continuum and particle representations are coupled together in the framework of the mass and momentum conserva-tion laws. The new functional form of the control volume function is elaborated by using the continuum discretization principle based on the Delaunay triangulation. The derived mass and momentum equations possess the invariant form for both micro-scale particle and large-scale continuum representations.

Original language	English
Pages (from-to)	517-524
Number of pages	8
Journal	Ukrainian Journal of Physics
Volume	68
Issue number	8
DOIs	https://doi.org/10.15407/ujpe68.8.517
Publication status	Published - 2 Oct 2023

Funding

We thank the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Research and Innovation Staff Exchange, MSCA-RISE-2018, Proposal number: 823922, AMR-TB for financial support.

Funders	Funder number
Marie Sklodowska-Curie Research and Innovation Staff Exchange	823922, MSCA-RISE-2018
Horizon 2020 Framework Programme

Keywords

control volume function
hydrodynamic equations
molecular dynamics
multiscale method

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10.15407/ujpe68.8.517

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abstract = "A new hybrid multiscaling model has been developed on the basis of the modified control volume function. Following the two-phase analogy of the same substance, the continuum and particle representations are coupled together in the framework of the mass and momentum conserva-tion laws. The new functional form of the control volume function is elaborated by using the continuum discretization principle based on the Delaunay triangulation. The derived mass and momentum equations possess the invariant form for both micro-scale particle and large-scale continuum representations.",

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AU - Bakumenko, M.

AU - Bardik, V.

AU - Nerukh, D.

PY - 2023/10/2

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N2 - A new hybrid multiscaling model has been developed on the basis of the modified control volume function. Following the two-phase analogy of the same substance, the continuum and particle representations are coupled together in the framework of the mass and momentum conserva-tion laws. The new functional form of the control volume function is elaborated by using the continuum discretization principle based on the Delaunay triangulation. The derived mass and momentum equations possess the invariant form for both micro-scale particle and large-scale continuum representations.

AB - A new hybrid multiscaling model has been developed on the basis of the modified control volume function. Following the two-phase analogy of the same substance, the continuum and particle representations are coupled together in the framework of the mass and momentum conserva-tion laws. The new functional form of the control volume function is elaborated by using the continuum discretization principle based on the Delaunay triangulation. The derived mass and momentum equations possess the invariant form for both micro-scale particle and large-scale continuum representations.

KW - control volume function

KW - hydrodynamic equations

KW - molecular dynamics

KW - multiscale method

UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2023055

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JF - Ukrainian Journal of Physics

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The Multiscale Hybrid Method with a Localized Constraint. I. A Modified Control Volume Function for the Hybridized Mass and Momentum Equations

Abstract

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Keywords

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The Multiscale Hybrid Method with a Localized Constraint. II. Hybrid Equations of Motion Based on Variational Principles

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