A Generalized Finite Difference Scheme for Multiphase Flow
This paper presents a GPU-based, incompressible, multiphase generalized finite difference solver for simulating multiphase flow. The method includes a dampening scheme that allows for large density ratio cases to be simulated. Two verification studies are performed by simulating the relaxation of a...
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| Format: | Article |
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MDPI AG
2023-03-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/28/2/51 |
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| author | Johannes C. Joubert Daniel N. Wilke Patrick Pizette |
| author_facet | Johannes C. Joubert Daniel N. Wilke Patrick Pizette |
| author_sort | Johannes C. Joubert |
| collection | DOAJ |
| description | This paper presents a GPU-based, incompressible, multiphase generalized finite difference solver for simulating multiphase flow. The method includes a dampening scheme that allows for large density ratio cases to be simulated. Two verification studies are performed by simulating the relaxation of a square droplet surrounded by a light fluid and a bubble rising in a denser fluid. The scheme is also used to simulate the collision of binary droplets at moderate Reynolds numbers (250–550). The effects of the surface tension and density ratio are explored in this work by considering cases with Weber numbers of 8 and 180 and density ratios of 2:1 and 1000:1. The robustness of the multiphase scheme is highlighted when resolving thin fluid structures arising in both high and low density ratio cases at We = 180. |
| first_indexed | 2024-03-11T04:46:29Z |
| format | Article |
| id | doaj.art-01c6e7ab959f41a5a7cf3eb7a669c030 |
| institution | Directory Open Access Journal |
| issn | 1300-686X 2297-8747 |
| language | English |
| last_indexed | 2024-03-11T04:46:29Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj.art-01c6e7ab959f41a5a7cf3eb7a669c0302023-11-17T20:19:37ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472023-03-012825110.3390/mca28020051A Generalized Finite Difference Scheme for Multiphase FlowJohannes C. Joubert0Daniel N. Wilke1Patrick Pizette2Department of Mechanical and Aeronautical Engineering, University of Pretoria, Private Bag X20, Hatfield 0028, South AfricaDepartment of Mechanical and Aeronautical Engineering, University of Pretoria, Private Bag X20, Hatfield 0028, South AfricaIMT Lille Douai, Univ. Lille, EA 4515-LGCgE Laboratoire de Génie Civil et géoEnvironnement, CERI Matériaux et Procédés, F-59000 Lille, FranceThis paper presents a GPU-based, incompressible, multiphase generalized finite difference solver for simulating multiphase flow. The method includes a dampening scheme that allows for large density ratio cases to be simulated. Two verification studies are performed by simulating the relaxation of a square droplet surrounded by a light fluid and a bubble rising in a denser fluid. The scheme is also used to simulate the collision of binary droplets at moderate Reynolds numbers (250–550). The effects of the surface tension and density ratio are explored in this work by considering cases with Weber numbers of 8 and 180 and density ratios of 2:1 and 1000:1. The robustness of the multiphase scheme is highlighted when resolving thin fluid structures arising in both high and low density ratio cases at We = 180.https://www.mdpi.com/2297-8747/28/2/51generalized finite difference (GFD)meshless Lagrangian method (MLM)incompressiblemultiphasehigh density ratio |
| spellingShingle | Johannes C. Joubert Daniel N. Wilke Patrick Pizette A Generalized Finite Difference Scheme for Multiphase Flow Mathematical and Computational Applications generalized finite difference (GFD) meshless Lagrangian method (MLM) incompressible multiphase high density ratio |
| title | A Generalized Finite Difference Scheme for Multiphase Flow |
| title_full | A Generalized Finite Difference Scheme for Multiphase Flow |
| title_fullStr | A Generalized Finite Difference Scheme for Multiphase Flow |
| title_full_unstemmed | A Generalized Finite Difference Scheme for Multiphase Flow |
| title_short | A Generalized Finite Difference Scheme for Multiphase Flow |
| title_sort | generalized finite difference scheme for multiphase flow |
| topic | generalized finite difference (GFD) meshless Lagrangian method (MLM) incompressible multiphase high density ratio |
| url | https://www.mdpi.com/2297-8747/28/2/51 |
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