Unstructured Grid Solutions for Incompressible Laminar Flow over a Circular Cylinder Using a Particular Finite Volume-Finite Element Method

A numerical modeling of a 2D Navier-Stokes equation by a particular vertex centered control volume framework on an unstructured grid is presented in this paper. Triangular elements are applied with an effective high performance fully coupled algorithm, to simulate incompressible laminar flow over a...

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Main Authors: Mahdi Yousefifard, Parviz Ghadimi, Rahim Zamanian
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Engineering
Online Access:http://dx.doi.org/10.1155/2013/795237
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author Mahdi Yousefifard
Parviz Ghadimi
Rahim Zamanian
author_facet Mahdi Yousefifard
Parviz Ghadimi
Rahim Zamanian
author_sort Mahdi Yousefifard
collection DOAJ
description A numerical modeling of a 2D Navier-Stokes equation by a particular vertex centered control volume framework on an unstructured grid is presented in this paper. Triangular elements are applied with an effective high performance fully coupled algorithm, to simulate incompressible laminar flow over a circular cylinder. The cell face velocities in the discretization of the continuity and momentum equations are calculated by a combined linear and momentum interpolation scheme, respectively, and their performances are compared. Flow analyses have been conducted based on various Reynolds numbers up to 200 for the steady and unsteady flows using structured and unstructured grids. The robustness and accuracy of the scheme in the unstructured mesh are proved using the benchmark problems of incompressible laminar flow over a circular cylinder at low and medium Reynolds numbers. Results have been compared with the structured grid results, both cases with equal cell numbers and same strategy for the mesh refinement. Current results display good agreement with the experimental values. Overall, it is shown that, using the suggested method for the current problem, unstructured grids are highly competitive with the structured grids.
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institution Kabale University
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publishDate 2013-01-01
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spelling doaj-art-649083ef9901406091d5c9c03e79c68a2025-02-03T00:59:45ZengWileyJournal of Engineering2314-49042314-49122013-01-01201310.1155/2013/795237795237Unstructured Grid Solutions for Incompressible Laminar Flow over a Circular Cylinder Using a Particular Finite Volume-Finite Element MethodMahdi Yousefifard0Parviz Ghadimi1Rahim Zamanian2Department of Marine Technology, Amirkabir University of Technology, Hafez Avenue No. 424, P.O. Box 15875-4413, Tehran, IranDepartment of Marine Technology, Amirkabir University of Technology, Hafez Avenue No. 424, P.O. Box 15875-4413, Tehran, IranDepartment of Marine Technology, Amirkabir University of Technology, Hafez Avenue No. 424, P.O. Box 15875-4413, Tehran, IranA numerical modeling of a 2D Navier-Stokes equation by a particular vertex centered control volume framework on an unstructured grid is presented in this paper. Triangular elements are applied with an effective high performance fully coupled algorithm, to simulate incompressible laminar flow over a circular cylinder. The cell face velocities in the discretization of the continuity and momentum equations are calculated by a combined linear and momentum interpolation scheme, respectively, and their performances are compared. Flow analyses have been conducted based on various Reynolds numbers up to 200 for the steady and unsteady flows using structured and unstructured grids. The robustness and accuracy of the scheme in the unstructured mesh are proved using the benchmark problems of incompressible laminar flow over a circular cylinder at low and medium Reynolds numbers. Results have been compared with the structured grid results, both cases with equal cell numbers and same strategy for the mesh refinement. Current results display good agreement with the experimental values. Overall, it is shown that, using the suggested method for the current problem, unstructured grids are highly competitive with the structured grids.http://dx.doi.org/10.1155/2013/795237
spellingShingle Mahdi Yousefifard
Parviz Ghadimi
Rahim Zamanian
Unstructured Grid Solutions for Incompressible Laminar Flow over a Circular Cylinder Using a Particular Finite Volume-Finite Element Method
Journal of Engineering
title Unstructured Grid Solutions for Incompressible Laminar Flow over a Circular Cylinder Using a Particular Finite Volume-Finite Element Method
title_full Unstructured Grid Solutions for Incompressible Laminar Flow over a Circular Cylinder Using a Particular Finite Volume-Finite Element Method
title_fullStr Unstructured Grid Solutions for Incompressible Laminar Flow over a Circular Cylinder Using a Particular Finite Volume-Finite Element Method
title_full_unstemmed Unstructured Grid Solutions for Incompressible Laminar Flow over a Circular Cylinder Using a Particular Finite Volume-Finite Element Method
title_short Unstructured Grid Solutions for Incompressible Laminar Flow over a Circular Cylinder Using a Particular Finite Volume-Finite Element Method
title_sort unstructured grid solutions for incompressible laminar flow over a circular cylinder using a particular finite volume finite element method
url http://dx.doi.org/10.1155/2013/795237
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AT parvizghadimi unstructuredgridsolutionsforincompressiblelaminarflowoveracircularcylinderusingaparticularfinitevolumefiniteelementmethod
AT rahimzamanian unstructuredgridsolutionsforincompressiblelaminarflowoveracircularcylinderusingaparticularfinitevolumefiniteelementmethod