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A global kinetic spatial data structure for a marine simulation 

Authors: Mir Abolfazl Mostafavi a; Christopher Gold b
Affiliations:   a Geomatics Department, Laval University, Quebec City, Quebec, Canada G1K 7P4
b Department of Land Surveying & Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, Hong Kong
DOI: 10.1080/13658810310001620942
Publication Frequency: 12 issues per year
Published in: journal International Journal of Geographical Information Science, Volume 18, Issue 3 April 2004 , pages 211 - 227
Number of References: 22
Formats available: PDF (English)
Previously published as: International journal of geographical information systems (0269-3798, 1362-3087) until 1996
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Abstract

This paper proposes a new Free-Lagrange method based on the kinetic Voronoi diagram for fluid simulation. The objective here is to combine the advantages of an adoptive mesh structure with the advantages of kinetic mesh maintenance, and demonstrate their value for dynamic simulation. Despite the theoretical advantages of the Free-Lagrange method, its use has been handicapped with the reconstruction of topology after each time step that considerably reduces the efficiency of the method. In addition, the use of fixed time steps causes problems such as overshoots and undetected collisions. In order to demonstrate the ability of the proposed model to solve these problems, the method is applied to a dam-breaking problem and global tides. With the results obtained from these numerical experiments, the validity of the global kinetic data structure is approved. In particular, the method is found to be more efficient than existing methods. In addition, qualitative comparison of physical results with analytical solutions demonstrates the similarity of the results and confirms the physical validity of the proposed method. Further investigations with real-world data and the complete equation of motion are suggested to compare it with other numerical methods.
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