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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/42532

Title: Global matrix-free finite-element scheme for natural convection in a square cavity with step blockage
Authors: K. Murugesan;D. C. Lo;D. L. Young;C. M. Fan;C. W. Chen
Contributors: 國立臺灣海洋大學:河海工程學系
Date: 2006
Issue Date: 2017-05-19T06:29:31Z
Publisher: Numerical Heat Transfer, Part B: Fundamentals
Abstract: Abstract:A global matrix-free finite-element scheme is proposed for the solution of two-dimensional Navier-Stokes equations in velocity–vorticity form. By including the boundary conditions of the field variables at the element level itself, the global assembly of matrices is completely eliminated, thus resulting in a significant saving in computer memory. Only the global vectors obtained as a result of matrix–vector products are assembled at the time of solution of the simultaneous equations, using a conjugate gradient iterative solver. The method is validated by solving a benchmark problem on natural convection in a square cavity. The incompressibility constraint of the flow field is satisfied by imposing the vorticity definition at the boundaries using a second-order-accurate Taylor series expansion scheme. Results obtained for natural convection in a square cavity for Rayleigh number 103 < Ra < 106 indicate excellent agreement with benchmark solutions. The capability of the method to treat complex flow geometries is demonstrated by extending the study to natural convection in a square cavity with an internal square step block positioned on the left wall. Comparison of the memory storage with the compact vector storage scheme is also discussed.
Relation: 50, pp.353-373
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/42532
Appears in Collections:[河海工程學系] 期刊論文

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