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Abstract
Liddriven cavity ﬂows have been widely investigated and accurate results have been achieved as benchmarks for testing the accuracy of computational methods. This paper veriﬁes the accuracy of an adaptive mesh reﬁnement method numerically using 2D steady incompressible liddriven ﬂows and coarser meshes. The accuracy is shown by verifying that the centres of vortices given in the benchmarks are located in the reﬁned grids of reﬁned meshes for Reynolds numbers 1000 and 2500 using mesh size 65×65 and 85×85, respectively. The adaptive mesh reﬁnement method performs mesh reﬁnement based on the numerical solutions of NavierStokes equations solved by a ﬁnite volume method with well known SIMPLE algorithm for pressurevelocity coupling. The accuracy of the numerical solutions is shown by comparing the proﬁles of horizontal and vertical components of velocity ﬁelds with the corresponding components of the benchmarks together and the streamlines. The adaptive mesh reﬁnement method veriﬁed in this paper can be applied to ﬁnd the accurate numerical solutions of any mathematical models containing continuity equations for incompressible ﬂuid or steady state ﬂuid ﬂows.
Original language  English 

Title of host publication  Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering 
Editors  J VigoAguiar 
Publisher  CMMSE 
Pages  829839 
Number of pages  11 
ISBN (Print)  9788461692163 
Publication status  Published  2014 
Event  14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014)  Cádiz, Spain Duration: 02 Jul 2014 → 06 Jul 2014 
Conference
Conference  14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014) 

Country/Territory  Spain 
City  Cádiz 
Period  02/07/14 → 06/07/14 
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Dive into the research topics of 'Accuracy analysis of an adaptive mesh refinement method using benchmarks of 2D steady incompressible liddriven cavity flows'. Together they form a unique fingerprint.Activities
 1 Peer review responsibility, including review panel or committee

International Journal of Computer Mathematics (Journal)
Jan Li (Reviewer)
01 May 2022 → 30 Jun 2022Activity: Publication peerreview and editorial work › Peer review responsibility, including review panel or committee