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Title: Thickness-based adaptive mesh refinement methods for multi-phase flow simulations with thin regions

Abstract

In numerical simulations of multi-scale, multi-phase flows, grid refinement is required to resolve regions with small scales. A notable example is liquid-jet atomization and subsequent droplet dynamics. It is essential to characterize the detailed flow physics with variable length scales with high fidelity, in order to elucidate the underlying mechanisms. In this paper, two thickness-based mesh refinement schemes are developed based on distance- and topology-oriented criteria for thin regions with confining wall/plane of symmetry and in any situation, respectively. Both techniques are implemented in a general framework with a volume-of-fluid formulation and an adaptive-mesh-refinement capability. The distance-oriented technique compares against a critical value, the ratio of an interfacial cell size to the distance between the mass center of the cell and a reference plane. The topology-oriented technique is developed from digital topology theories to handle more general conditions. The requirement for interfacial mesh refinement can be detected swiftly, without the need of thickness information, equation solving, variable averaging or mesh repairing. The mesh refinement level increases smoothly on demand in thin regions. The schemes have been verified and validated against several benchmark cases to demonstrate their effectiveness and robustness. These include the dynamics of colliding droplets, droplet motions in amore » microchannel, and atomization of liquid impinging jets. Overall, the thickness-based refinement technique provides highly adaptive meshes for problems with thin regions in an efficient and fully automatic manner.« less

Authors:
 [1];  [2]
  1. The State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190 (China)
  2. School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150 (United States)
Publication Date:
OSTI Identifier:
22314875
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 269; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMIZATION; BENCHMARKS; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; DROPLETS; INTERFACES; LIQUIDS; MASS; MULTIPHASE FLOW; NUMERICAL ANALYSIS; TOPOLOGY

Citation Formats

Chen, Xiaodong, and Yang, Vigor, E-mail: vigor.yang@aerospace.gatech.edu. Thickness-based adaptive mesh refinement methods for multi-phase flow simulations with thin regions. United States: N. p., 2014. Web. doi:10.1016/J.JCP.2014.02.035.
Chen, Xiaodong, & Yang, Vigor, E-mail: vigor.yang@aerospace.gatech.edu. Thickness-based adaptive mesh refinement methods for multi-phase flow simulations with thin regions. United States. doi:10.1016/J.JCP.2014.02.035.
Chen, Xiaodong, and Yang, Vigor, E-mail: vigor.yang@aerospace.gatech.edu. Tue . "Thickness-based adaptive mesh refinement methods for multi-phase flow simulations with thin regions". United States. doi:10.1016/J.JCP.2014.02.035.
@article{osti_22314875,
title = {Thickness-based adaptive mesh refinement methods for multi-phase flow simulations with thin regions},
author = {Chen, Xiaodong and Yang, Vigor, E-mail: vigor.yang@aerospace.gatech.edu},
abstractNote = {In numerical simulations of multi-scale, multi-phase flows, grid refinement is required to resolve regions with small scales. A notable example is liquid-jet atomization and subsequent droplet dynamics. It is essential to characterize the detailed flow physics with variable length scales with high fidelity, in order to elucidate the underlying mechanisms. In this paper, two thickness-based mesh refinement schemes are developed based on distance- and topology-oriented criteria for thin regions with confining wall/plane of symmetry and in any situation, respectively. Both techniques are implemented in a general framework with a volume-of-fluid formulation and an adaptive-mesh-refinement capability. The distance-oriented technique compares against a critical value, the ratio of an interfacial cell size to the distance between the mass center of the cell and a reference plane. The topology-oriented technique is developed from digital topology theories to handle more general conditions. The requirement for interfacial mesh refinement can be detected swiftly, without the need of thickness information, equation solving, variable averaging or mesh repairing. The mesh refinement level increases smoothly on demand in thin regions. The schemes have been verified and validated against several benchmark cases to demonstrate their effectiveness and robustness. These include the dynamics of colliding droplets, droplet motions in a microchannel, and atomization of liquid impinging jets. Overall, the thickness-based refinement technique provides highly adaptive meshes for problems with thin regions in an efficient and fully automatic manner.},
doi = {10.1016/J.JCP.2014.02.035},
journal = {Journal of Computational Physics},
number = ,
volume = 269,
place = {United States},
year = {Tue Jul 15 00:00:00 EDT 2014},
month = {Tue Jul 15 00:00:00 EDT 2014}
}