Accuracy analysis of a 2D adaptive mesh refinement method using lid-driven cavity ow and two refinements

Research output: Book chapter/Published conference paperConference paperpeer-review

Abstract

Locating accurate centres of vortices is one of the accurate measures for computational methods in fluid flow and the lid-driven cavity flows are widely used as benchmarks. This paper analyses the accuracy of an adaptive mesh refinement method using 2D steady incompressible lid-driven cavity flows for two refinements. The adaptive mesh refinement method performs mesh refinement based on the numerical solutions of Navier-Stokes equations solved by Navier2D, a vertex centred Finite Volume that uses the median dual mesh to form the Control Volumes (CVs) about each vertex. The accuracy of the refined meshes is demonstrated by the centres of vortices obtained in the benchmarks being contained in the twice refined grids. The adaptive mesh refinement method investigated in this paper is proposed based on the qualitative theory of differential equations. Theoretically infinite refinements can be performed on an initial mesh. Practically we can stop the process of refinement based on tolerance conditions. The method can be applied to find the accurate numerical solutions of any mathematical models containing continuity equations for incompressible fluid, steady state fluid flows or mass and heat transfer.

Accuracy analysis of a 2D adaptive mesh refinement method using lid-driven cavity flow and two refinements (PDF Download Available). Available from: https://www.researchgate.net/publication/305291772_Accuracy_analysis_of_a_2D_adaptive_mesh_refinement_method_using_lid-driven_cavity_flow_and_two_refinements [accessed Jul 21, 2017].
Original languageEnglish
Title of host publicationProceedings of the 16th International Conference on Computational and Mathematical Methods in Science and Engineering
EditorsJ. Vigo-Aguiar
Place of PublicationSpain
PublisherComputational and Mathematical Methods in Science and Engeering
Pages773
Number of pages784
ISBN (Electronic)9788460860822
Publication statusPublished - 2016
Event16th International Conference Computational and Mathematical Methods in Science and Engineering: CMMSE 2016 - Barcelo Costa Ballena Hotel, Rota, Spain
Duration: 04 Jul 201608 Jul 2016
http://cmmse.usal.es/cmmse2016/welcome (Conference website)

Conference

Conference16th International Conference Computational and Mathematical Methods in Science and Engineering
CountrySpain
CityRota
Period04/07/1608/07/16
Internet address

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