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

IF 0.6 Q4 PHYSICS, MULTIDISCIPLINARY Ukrainian Journal of Physics Pub Date : 2023-10-02 DOI:10.15407/ujpe68.8.517
M. Bakumenko, V. Bardik, D. Nerukh
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引用次数: 1

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 conservation 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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具有局部约束的多尺度混合方法。质量与动量混合方程的一种修正控制体积函数
在修正控制体积函数的基础上,建立了一种新的混合多尺度模型。根据同一物质的两相类比,连续统和粒子表示在质量和动量守恒定律的框架内耦合在一起。利用基于Delaunay三角剖分的连续离散化原理,阐述了控制体积函数的新函数形式。所导出的质量和动量方程对于微尺度粒子和大尺度连续体都具有不变形式。
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来源期刊
Ukrainian Journal of Physics
Ukrainian Journal of Physics PHYSICS, MULTIDISCIPLINARY-
CiteScore
1.20
自引率
20.00%
发文量
244
期刊介绍: Ukrainian Journal of Physics is the general physics edition of the Department of Physics and Astronomy of the National Academy of Sciences of Ukraine. The journal publishes original papers and reviews in the fields of experimental and theoretical physics.
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