An application of a mesh refinement to lid-driven cavity flow

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Abstract

We introduce a mesh refinement approach based on the qualitative theory of differential equations which can identify singular points and asymptote lines of velocity fields. We have verified the accuracy of the mesh refinement approach by comparing our results with the benchmarks for lid-driven cavity flow. We use the colocated finite volume scheme introduced in [8] for the accuracy verification of the mesh refinement. Even though the verification shows good accuracy of the refinement approach for Reynolds numbers 1000 and 2500 [13], the further verification for larger Reynolds numbers encounters the slow convergence of the colocated finite volume scheme. In this paper, we show the similar verification of the mesh refinement approach using SIMPLEC [9] and then compare the performance between colocated finite volume scheme [8] and SIMPLEC.
Original languageEnglish
Title of host publicationInternational Conference on Fluid Control, Measurements, and Visualization
EditorsC.J. Chen
Place of PublicationTaiwan
PublisherNational Twaiwan Ocean University
Pages1-3
Number of pages3
Publication statusPublished - 2011
EventFLUCOME 2011: 11th International Conference - Keelung, Taiwan, China
Duration: 05 Dec 201109 Dec 2011

Conference

ConferenceFLUCOME 2011: 11th International Conference
CountryChina
Period05/12/1109/12/11

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