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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 48, 2005 - Issue 4
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Original Articles

GDQ Method for Natural Convection in a Cubic Cavity Using Velocity–Vorticity Formulation

D. C. Lo Department of Civil Engineering and Hydrotech Research Institute, National Taiwan University, Taipei, Taiwan
,
D. L. Young Department of Civil Engineering and Hydrotech Research Institute, National Taiwan University, Taipei, TaiwanCorrespondence[email protected]
&
K. Murugesan Department of Civil Engineering and Hydrotech Research Institute, National Taiwan University, Taipei, Taiwan
Pages 363-386 | Received 24 Aug 2004, Accepted 05 Feb 2005, Published online: 24 Feb 2007

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L. M. Yang, C. Shu, W. M. Yang & J. Wu. (2017) A simple gas kinetic scheme for simulation of 3D incompressible thermal flows. Numerical Heat Transfer, Part B: Fundamentals 72:6, pages 450-468.
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Zhu Huang, Wei Zhang & Guang Xi. (2015) Natural Convection Heat Transfer in a Cubic Cavity Submitted to Time-Periodic Sidewall Temperature. Numerical Heat Transfer, Part A: Applications 67:1, pages 13-32.
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Tien-Mo Shih, Martinus Arie & Derrick Ko. (2011) Literature Survey of Numerical Heat Transfer (2000–2009): Part II. Numerical Heat Transfer, Part A: Applications 60:11-12, pages 883-1096.
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L. H. Shen, D. L. Young, D. C. Lo & C. P. Sun. (2009) Local Differential Quadrature Method for 2-D Flow and Forced-Convection Problems in Irregular Domains. Numerical Heat Transfer, Part B: Fundamentals 55:2, pages 116-134.
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M. R. Golbahar Haghighi, M. Eghtesad & P. Malekzadeh. (2008) A Coupled Differential Quadrature and Finite Element Method for 3-D Transient Heat Transfer Analysis of Functionally Graded Thick Plates. Numerical Heat Transfer, Part B: Fundamentals 53:4, pages 358-373.
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Articles from other publishers (14)

Seddik Kherroubi, Youb Khaled Benkahla, Nabila Labsi, Karim Ragui, Abdelghani Bensaci, Abdelkader Boutra, Seif-Eddine Ouyahia & Mahdi Benzema. (2020) Two- and three-dimensional comparative study of heat transfer and pressure drop characteristics of nanofluids flow through a ventilated cubic cavity (part I: Newtonian nanofluids). Journal of Thermal Analysis and Calorimetry 144:3, pages 623-646.
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Abdellatif Dayf, M’barek Feddaoui, Said Bouchta, Adil Charef & Houssine El Ihssini. (2021) Effect of Nanoparticles and Base Fluid Types on Natural Convection in a Three-Dimensional Cubic Enclosure. Mathematical Problems in Engineering 2021, pages 1-13.
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Ranjit J Singh & Trushar B Gohil. (2019) The numerical analysis on the development of Lorentz force and its directional effect on the suppression of buoyancy-driven flow and heat transfer using OpenFOAM. Computers & Fluids 179, pages 476-489.
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Kang Luo, Tian-Fu Li, Jian Wu, Hong-Liang Yi & He-Ping Tan. (2018) Mesoscopic simulation of electrohydrodynamic effects on laminar natural convection of a dielectric liquid in a cubic cavity. Physics of Fluids 30:10.
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D.C. Lo, C-P Lee & I-F Lin. (2018) An efficient immersed boundary method for fluid flow simulations with moving boundaries. Applied Mathematics and Computation 328, pages 312-337.
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Primož Ternik. (2015) Conduction and convection heat transfer characteristics of water–Au nanofluid in a cubic enclosure with differentially heated side walls. International Journal of Heat and Mass Transfer 80, pages 368-375.
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Cheng-An Wang, Hamou Sadat & Christian Prax. (2012) A new meshless approach for three dimensional fluid flow and related heat transfer problems. Computers & Fluids 69, pages 136-146.
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D.C. Lo. (2010) An accurate numerical solution study of three-dimensional natural convection in a box. International Communications in Heat and Mass Transfer 37:9, pages 1280-1289.
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R.J. Goldstein, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen, S. Garrick, V. Srinivasan, K. Ghosh & R. Mittal. (2010) Heat transfer—A review of 2005 literature. International Journal of Heat and Mass Transfer 53:21-22, pages 4397-4447.
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D.C. Lo. (2010) High-resolution simulations of magnetohydrodynamic free convection in an enclosure with a transverse magnetic field using a velocity–vorticity formulation. International Communications in Heat and Mass Transfer 37:5, pages 514-523.
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Esam M. Alawadhi. (2008) Natural Convection Flow in a Cubical Enclosure with a Heated Strip. Journal of Thermophysics and Heat Transfer 22:3, pages 515-521.
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Moghtada Mobedi. (2008) Conjugate natural convection in a square cavity with finite thickness horizontal walls. International Communications in Heat and Mass Transfer 35:4, pages 503-513.
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D. C. Lo, T. Liao, D. L. Young & M. H. Gou. (2011) Velocity-Vorticity Formulation for 2D Natural Convection in an Inclined Cavity by the DQ Method. Journal of Mechanics 23:3, pages 261-268.
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D.C. Lo, D.L. Young, K. Murugesan, C.C. Tsai & M.H. Gou. (2007) Velocity–vorticity formulation for 3D natural convection in an inclined cavity by DQ method. International Journal of Heat and Mass Transfer 50:3-4, pages 479-491.
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