Simulation of Newtonian-fluid flows with C2-continuous two-node integrated-RBF elements

An-Vo, D.-A. ORCID: https://orcid.org/0000-0001-7528-7139 and Mai-Duy, N. and Tran-Cong, T. (2010) Simulation of Newtonian-fluid flows with C2-continuous two-node integrated-RBF elements. Structural Longevity, 4 (1). pp. 39-45. ISSN 1944-611X


Abstract

In this paper, the C2-continuous control-volume method based on 2-node integrated radial basis function elements (IRBFEs) [CMES, vol.72, no.4, pp.299-334, 2011] are further developed for the simulation of incompressible viscous
flows in two dimensions. Emphasis is placed on (i) the 2-node IRBFE discretisation of the stream function-vorticity formulation on Cartesian grids; and (ii) the development of a high order upwind scheme based on 2-node IRBFEs for the case of simulating convection-dominant flows. High levels of accuracy and efficiency of the present method are demonstrated by solving the lid-driven cavity problem.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - No Department (Up to 30 Jun 2013)
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - No Department (Up to 30 Jun 2013)
Date Deposited: 18 Jun 2013 05:04
Last Modified: 25 Aug 2014 06:39
Uncontrolled Keywords: integrated-radial-basis-function element; cartesian grid; control volume; local approximation; upwind scheme
Fields of Research (2008): 09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
01 Mathematical Sciences > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods
08 Information and Computing Sciences > 0805 Distributed Computing > 080501 Distributed and Grid Systems
Fields of Research (2020): 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401204 Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490101 Approximation theory and asymptotic methods
46 INFORMATION AND COMPUTING SCIENCES > 4606 Distributed computing and systems software > 460605 Distributed systems and algorithms
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: https://doi.org/10.3970/sl.2010.004.039
URI: http://eprints.usq.edu.au/id/eprint/23636

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