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A particle method for two-phase flows with large density difference

Min Luo Orcid Logo, C. G. Koh, M. Gao, W. Bai

International Journal for Numerical Methods in Engineering, Volume: 103, Issue: 4, Pages: 235 - 255

Swansea University Author: Min Luo Orcid Logo

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DOI (Published version): 10.1002/nme.4884

Abstract

A new numerical approach for solving incompressible two-phase flows is presented in the framework of the recently developed Consistent Particle Method (CPM). In the context of Lagrangian particle formulation, the CPM computes spatial derivatives based on the generalized finite difference scheme and...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981
Published: 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa36808
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first_indexed 2017-11-16T20:20:01Z
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spelling 2020-10-23T14:08:51.2524254 v2 36808 2017-11-16 A particle method for two-phase flows with large density difference 91e3463c73c6a9d1f5c025feebe4ad0f 0000-0002-6688-9127 Min Luo Min Luo true false 2017-11-16 GENG A new numerical approach for solving incompressible two-phase flows is presented in the framework of the recently developed Consistent Particle Method (CPM). In the context of Lagrangian particle formulation, the CPM computes spatial derivatives based on the generalized finite difference scheme and produces good results for single-phase flow problems. Nevertheless, for two-phase flows, the method cannot be directly applied near the fluid interface because of the abrupt discontinuity of fluid density resulting in large change in pressure gradient. This problem is resolved by dealing with the pressure gradient normalized by density, leading to a two-phase CPM of which the original single-phase CPM is a special case. In addition, a new adaptive particle selection scheme is proposed to overcome the problem of ill-conditioned coefficient matrix of pressure Poisson equation (PPE) when particles are sparse and non-uniformly spaced. Numerical examples of Rayleigh-Taylor instability, gravity current flow, water-air sloshing and dam break are presented to demonstrate the accuracy of the proposed method in wave profile and pressure solution. Journal Article International Journal for Numerical Methods in Engineering 103 4 235 255 0029-5981 two-phase flow; particle method; density difference; generalized finite difference 27 7 2015 2015-07-27 10.1002/nme.4884 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2020-10-23T14:08:51.2524254 2017-11-16T18:38:13.9181493 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering Min Luo 0000-0002-6688-9127 1 C. G. Koh 2 M. Gao 3 W. Bai 4
title A particle method for two-phase flows with large density difference
spellingShingle A particle method for two-phase flows with large density difference
Min Luo
title_short A particle method for two-phase flows with large density difference
title_full A particle method for two-phase flows with large density difference
title_fullStr A particle method for two-phase flows with large density difference
title_full_unstemmed A particle method for two-phase flows with large density difference
title_sort A particle method for two-phase flows with large density difference
author_id_str_mv 91e3463c73c6a9d1f5c025feebe4ad0f
author_id_fullname_str_mv 91e3463c73c6a9d1f5c025feebe4ad0f_***_Min Luo
author Min Luo
author2 Min Luo
C. G. Koh
M. Gao
W. Bai
format Journal article
container_title International Journal for Numerical Methods in Engineering
container_volume 103
container_issue 4
container_start_page 235
publishDate 2015
institution Swansea University
issn 0029-5981
doi_str_mv 10.1002/nme.4884
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering
document_store_str 0
active_str 0
description A new numerical approach for solving incompressible two-phase flows is presented in the framework of the recently developed Consistent Particle Method (CPM). In the context of Lagrangian particle formulation, the CPM computes spatial derivatives based on the generalized finite difference scheme and produces good results for single-phase flow problems. Nevertheless, for two-phase flows, the method cannot be directly applied near the fluid interface because of the abrupt discontinuity of fluid density resulting in large change in pressure gradient. This problem is resolved by dealing with the pressure gradient normalized by density, leading to a two-phase CPM of which the original single-phase CPM is a special case. In addition, a new adaptive particle selection scheme is proposed to overcome the problem of ill-conditioned coefficient matrix of pressure Poisson equation (PPE) when particles are sparse and non-uniformly spaced. Numerical examples of Rayleigh-Taylor instability, gravity current flow, water-air sloshing and dam break are presented to demonstrate the accuracy of the proposed method in wave profile and pressure solution.
published_date 2015-07-27T03:46:09Z
_version_ 1763752195955621888
score 11.037166

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