A Conservative Level Set Approach to Non-Spherical Drop Impact in Three Dimensions
A recently developed conservative level set model, coupled with the Navier-Stokes equations, was invoked to simulate non-spherical droplet impact in three dimensions. The advection term in the conservative level set model was tackled using the traditional central difference scheme on a half-staggere...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/13/11/1850 |
| _version_ | 1827646088291549184 |
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| author | Xu Pan Ying Wang Mingguang Shen |
| author_facet | Xu Pan Ying Wang Mingguang Shen |
| author_sort | Xu Pan |
| collection | DOAJ |
| description | A recently developed conservative level set model, coupled with the Navier-Stokes equations, was invoked to simulate non-spherical droplet impact in three dimensions. The advection term in the conservative level set model was tackled using the traditional central difference scheme on a half-staggered grid. The pressure velocity coupling was decoupled using the projection method. The inhouse code was written in Fortran and was run with the aid of the shared memory parallelism, OpenMP. Before conducting extensive simulations, the model was tested on meshes of varied resolutions and validated against experimental works, with satisfyingly qualitative and quantitative agreement obtained. The model was then employed to predict the impact and splashing dynamics of non-spherical droplets, with the focus on the effect of the aspect ratio. An empirical correlation of the maximum spread factor was proposed. Besides, the number of satellite droplets when splashing occurs was in reasonable agreement with a theoretical model. |
| first_indexed | 2024-03-09T18:50:11Z |
| format | Article |
| id | doaj.art-a2bc41d1f597447ea4ab8a5a9b4bbcf8 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-03-09T18:50:11Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj.art-a2bc41d1f597447ea4ab8a5a9b4bbcf82023-11-24T05:54:10ZengMDPI AGMicromachines2072-666X2022-10-011311185010.3390/mi13111850A Conservative Level Set Approach to Non-Spherical Drop Impact in Three DimensionsXu Pan0Ying Wang1Mingguang Shen2Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, School of Civil Engineering, Southeast University, Nanjing 211189, ChinaKey Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, School of Civil Engineering, Southeast University, Nanjing 211189, ChinaSchool of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, ChinaA recently developed conservative level set model, coupled with the Navier-Stokes equations, was invoked to simulate non-spherical droplet impact in three dimensions. The advection term in the conservative level set model was tackled using the traditional central difference scheme on a half-staggered grid. The pressure velocity coupling was decoupled using the projection method. The inhouse code was written in Fortran and was run with the aid of the shared memory parallelism, OpenMP. Before conducting extensive simulations, the model was tested on meshes of varied resolutions and validated against experimental works, with satisfyingly qualitative and quantitative agreement obtained. The model was then employed to predict the impact and splashing dynamics of non-spherical droplets, with the focus on the effect of the aspect ratio. An empirical correlation of the maximum spread factor was proposed. Besides, the number of satellite droplets when splashing occurs was in reasonable agreement with a theoretical model.https://www.mdpi.com/2072-666X/13/11/1850conservative level set methodnon-spherical drop impactsplashing |
| spellingShingle | Xu Pan Ying Wang Mingguang Shen A Conservative Level Set Approach to Non-Spherical Drop Impact in Three Dimensions Micromachines conservative level set method non-spherical drop impact splashing |
| title | A Conservative Level Set Approach to Non-Spherical Drop Impact in Three Dimensions |
| title_full | A Conservative Level Set Approach to Non-Spherical Drop Impact in Three Dimensions |
| title_fullStr | A Conservative Level Set Approach to Non-Spherical Drop Impact in Three Dimensions |
| title_full_unstemmed | A Conservative Level Set Approach to Non-Spherical Drop Impact in Three Dimensions |
| title_short | A Conservative Level Set Approach to Non-Spherical Drop Impact in Three Dimensions |
| title_sort | conservative level set approach to non spherical drop impact in three dimensions |
| topic | conservative level set method non-spherical drop impact splashing |
| url | https://www.mdpi.com/2072-666X/13/11/1850 |
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