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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 41, 2002 - Issue 5
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Original Articles

A MESHLESS FORMULATION FOR THREE-DIMENSIONAL LAMINAR NATURAL CONVECTION

Pages 433-445 | Published online: 30 Nov 2010

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Read on this site (16)

Cheng-An Wang, Hamou Sadat & Jian-Yu Tan. (2017) Simulations of coupled radiative and convective heat transfer in 2D and 3D semitransparent medium by the moving least square method. Numerical Heat Transfer, Part B: Fundamentals 72:1, pages 33-54.
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Tonino Sophy, Arthur Da Silva, Ali Kribèche & Hamou Sadat. (2016) An alternative space–time meshless method for solving transient heat transfer problems with high discontinuous moving sources. Numerical Heat Transfer, Part B: Fundamentals 69:5, pages 377-388.
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Tonino Sophy, Arthur Da Silva & Ali Kribèche. (2012) A Space-Time Meshless Method That Removes Numerical Oscillations When Solving PDEs with High Discontinuities. Numerical Heat Transfer, Part B: Fundamentals 62:1, pages 50-70.
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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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Eduardo Divo & AlainJ. Kassab. (2008) Localized Meshless Modeling of Natural-Convective Viscous Flows. Numerical Heat Transfer, Part B: Fundamentals 53:6, pages 487-509.
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Luigino Zovatto & Matteo Nicolini. (2007) Improving the Convergence Order of the Meshless Approach for the Cell Method for Numerical Integration of Discrete Conservation Laws. International Journal for Computational Methods in Engineering Science and Mechanics 8:5, pages 273-281.
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Rusty Rook, Mehmet Yildiz & Sadik Dost. (2007) Modeling Transient Heat Transfer Using SPH and Implicit Time Integration. Numerical Heat Transfer, Part B: Fundamentals 51:1, pages 1-23.
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H. Sadat, N. Dubus, L. Gbahoué & T. Sophy. (2006) On the Solution Of Heterogeneous Heat Conduction Problems by a Diffuse Approximation Meshless Method. Numerical Heat Transfer, Part B: Fundamentals 50:6, pages 491-498.
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J. Y. Tan, L. H. Liu & B. X. Li. (2006) Least-Squares Collocation Meshless Approach for Coupled Radiative and Conductive Heat Transfer. Numerical Heat Transfer, Part B: Fundamentals 49:2, pages 179-195.
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Luigino Zovatto & Matteo Nicolini. (2006) Extension of the Meshless Approach for the Cell Method to Three-Dimensional Numerical Integration of Discrete Conservation Laws. International Journal for Computational Methods in Engineering Science and Mechanics 7:2, pages 69-79.
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Y. Favennec, M. Girault§D. Petit. (2006) The adjoint method coupled with the modal identification method for nonlinear model reduction. Inverse Problems in Science and Engineering 14:2, pages 153-170.
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Beth AnneV. Bennett & Jason Hsueh. (2006) Natural Convection in a Cubic Cavity: Implicit Numerical Solution of Two Benchmark Problems. Numerical Heat Transfer, Part A: Applications 50:2, pages 99-123.
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Y. L. Wu, G. R. Liu & Y. T. Gu. (2005) Application of Meshless Local Petrov-Galerkin (MLPG) Approach to Simulation of Incompressible Flow. Numerical Heat Transfer, Part B: Fundamentals 48:5, pages 459-475.
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Y. Liu, X. Zhang & M.-W. Lu. (2005) A MESHLESS METHOD BASED ON LEAST-SQUARES APPROACH FOR STEADY- AND UNSTEADY-STATE HEAT CONDUCTION PROBLEMS. Numerical Heat Transfer, Part B: Fundamentals 47:3, pages 257-275.
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Tonino Sophy & Hamou Sadat. (2002) On the Numerical Solution of Unsteady Fluid Flow Problems by a Meshless Method. Revue Européenne des Éléments Finis 11:7-8, pages 989-1004.
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Articles from other publishers (24)

Youssef Es-Sabry, Mohammed Jeyar, Elmiloud Chaabelasri & Dris Bahia. (2023) Numerical assessment of meshless method for studying nanofluid natural convection in a corrugated wall square cavity. International Journal of Renewable Energy Development 12:5, pages 853-863.
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Katarina Mramor, Robert Vertnik & Božidar Šarler. (2020) Application of the local RBF collocation method to natural convection in a 3D cavity influenced by a magnetic field. Engineering Analysis with Boundary Elements 116, pages 1-13.
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Vanja Hatič, Boštjan Mavrič & Božidar Šarler. (2020) Simulation of macrosegregation in direct-chill casting—A model based on meshless diffuse approximate method. Engineering Analysis with Boundary Elements 113, pages 191-203.
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Pranowo & Agung Tri Wijayanta. (2019) Numerical simulation of mixed convection in a square cavity using Direct Meshless Local Petrov-Galerkin (DMLPG) method.. Journal of Physics: Conference Series 1153, pages 012115.
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Nazia Talat, Boštjan Mavrič, Grega Belšak, Vanja Hatić, Saša Bajt & Božidar Šarler. (2018) Development of meshless phase field method for two-phase flow. International Journal of Multiphase Flow 108, pages 169-180.
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Nazia Talat, Boštjan Mavrič, Vanja Hatić, Saša Bajt & Božidar Šarler. (2018) Phase field simulation of Rayleigh–Taylor instability with a meshless method. Engineering Analysis with Boundary Elements 87, pages 78-89.
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E. Dabboura, H. Sadat & C. Prax. (2016) A moving least squares meshless method for solving the generalized Kuramoto-Sivashinsky equation. Alexandria Engineering Journal 55:3, pages 2783-2787.
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Mojtaba Labibzadeh. (2015) Voronoi based discrete least squares meshless method for heat conduction simulation in highly irregular geometries. Chinese Journal of Mechanical Engineering 29:1, pages 98-111.
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Xiaohua Zhang & Ping Zhang. (2015) Meshless modeling of natural convection problems in non-rectangular cavity using the variational multiscale element free Galerkin method. Engineering Analysis with Boundary Elements 61, pages 287-300.
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Vali Enjilela & Ali Arefmanesh. (2015) Two-step Taylor-characteristic-based MLPG method for fluid flow and heat transfer applications. Engineering Analysis with Boundary Elements 51, pages 174-190.
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Mohammad Najafi, Ali Arefmanesh & Vali Enjilela. (2013) Extending MLPG primitive variable-based method for implementation in fluid flow and natural, forced and mixed convection heat transfer. Engineering Analysis with Boundary Elements 37:10, pages 1285-1299.
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Ali Arefmanesh & Mehdi Nikfar. (2013) Analysis of natural convection in a nanofluid-filled triangular enclosure induced by cold and hot sources on the walls using stabilised MLPG method. The Canadian Journal of Chemical Engineering 91:10, pages 1711-1728.
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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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Hamou Sadat, Cheng-An Wang & Vital Le Dez. (2012) Meshless method for solving coupled radiative and conductive heat transfer in complex multi-dimensional geometries. Applied Mathematics and Computation 218:20, pages 10211-10225.
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Mehdi Nikfar & Mostafa Mahmoodi. (2012) Meshless local Petrov–Galerkin analysis of free convection of nanofluid in a cavity with wavy side walls. Engineering Analysis with Boundary Elements 36:3, pages 433-445.
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C. Prax & H. Sadat. (2011) A low-order meshless model for multidimensional heat conduction problems. Applied Mathematical Modelling 35:10, pages 4926-4933.
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H. Sadat & C. Prax. (2011) Improved low-order models for heat conduction problems. International Journal of Heat and Mass Transfer 54:15-16, pages 3789-3795.
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C. Prax & H. Sadat. (2011) Thermomagnetic Convection Around a Hot Circular Cylinder in a Square Cold Enclosure. Journal of Thermophysics and Heat Transfer 25:2, pages 291-297.
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Cheng-An Wang, Hamou Sadat, Vital Ledez & Denis Lemonnier. (2010) Meshless method for solving radiative transfer problems in complex two-dimensional and three-dimensional geometries. International Journal of Thermal Sciences 49:12, pages 2282-2288.
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Xue-Hong Wu & Wen-Quan Tao. (2008) Meshless method based on the local weak-forms for steady-state heat conduction problems. International Journal of Heat and Mass Transfer 51:11-12, pages 3103-3112.
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Akhilendra Singh, Indra Vir Singh & Ravi Prakash. (2007) Numerical analysis of fluid squeezed between two parallel plates by meshless method. Computers & Fluids 36:9, pages 1460-1480.
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C. Prax, H. Sadat & E. Dabboura. (2007) Evaluation of high order versions of the diffuse approximate meshless method. Applied Mathematics and Computation 186:2, pages 1040-1053.
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Rusty Rook & Sadik Dost. (2007) The use of smoothed particle hydrodynamics for simulating crystal growth from solution. International Journal of Engineering Science 45:1, pages 75-93.
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R.J. Goldstein, E.R.G. Eckert, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, A. Bar-Cohen, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen, S. Garrick & V. Srinivasan. (2005) Heat transfer—a review of 2002 literature. International Journal of Heat and Mass Transfer 48:5, pages 819-927.
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