A meshless approach to capturing moving interfaces in passive transport problems

Mai-Cao, L. and Tran-Cong, T. (2008) A meshless approach to capturing moving interfaces in passive transport problems. CMES: Computer Modeling in Engineering and Sciences, 31 (3). pp. 157-188. ISSN 1526-1492

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This paper presents a new meshless numerical approach to solving a special class of moving interface problems known as the passive transport where an ambient flow characterized by its velocity field causes the interfaces to move and deform without any influences back on the flow. In the present approach, the moving interface is captured by the level set method at all time as the zero contour of a smooth function known as the level set function whereas one of the two new meshless schemes, namely the SL-IRBFN based on the semi-Lagrangian method and the Taylor-IRBFN
scheme based on Taylor series expansion, is used to solve a
convective transport equation for advancing the level set function in time. In addition, a mass correction is introduced after the reinitialization step to ensure mass conservation. Some basic tests are preformed to verify the accuracy and stability of the new numerical schemes which are then applied to simulate bubbles moving, stretching and merging in an ambient flow to demonstrate the performance of the new meshless approach.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 21 May 2009 05:37
Last Modified: 02 Jul 2013 23:08
Uncontrolled Keywords: level set method; meshless method; radial basis functions; IRBFN; moving interfaces; passive transport; Taylor-IRBFN; semi-Lagrangian approach
Fields of Research : 09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.3970/cmes.2008.031.157
URI: http://eprints.usq.edu.au/id/eprint/4563

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