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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 68, 2015 - Issue 3
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Original Articles

Global Versus Localized RBF Meshless Methods for Solving Incompressible Fluid Flow with Heat Transfer

J. WatersDepartment of Mechanical Engineering, University of Nevada Las Vegas, Las Vegas, Nevada, USA
&
D. W. PepperDepartment of Mechanical Engineering, University of Nevada Las Vegas, Las Vegas, Nevada, USACorrespondence[email protected]
Pages 185-203 | Received 22 Oct 2014, Accepted 15 Jan 2015, Published online: 23 Jun 2015

Citations (20)

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Read on this site (2)

R. Zamolo & E. Nobile. (2019) Solution of incompressible fluid flow problems with heat transfer by means of an efficient RBF-FD meshless approach. Numerical Heat Transfer, Part B: Fundamentals 75:1, pages 19-42.
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T. T. V. Le, N. Mai-Duy, K. Le-Cao & T. Tran-Cong. (2018) A time discretization scheme based on integrated radial basis functions for heat transfer and fluid flow problems. Numerical Heat Transfer, Part B: Fundamentals 74:2, pages 498-518.
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Articles from other publishers (18)

Riccardo Zamolo, Davide Miotti & Enrico Nobile. (2023) Accurate RBF-FD meshless numerical simulation of thermo-fluid problems for generic 3D geometries. Journal of Physics: Conference Series 2509:1, pages 012002.
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Kamran, Farman Ali Shah, Wael Hosny Fouad Aly, Hasan Aksoy, Fahad M. Alotaibi & Ibrahim Mahariq. (2022) Numerical Inverse Laplace Transform Methods for Advection-Diffusion Problems. Symmetry 14:12, pages 2544.
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Tianyi Chu & Oliver T. Schmidt. (2022) RBF-FD discretization of the Navier-Stokes equations on scattered but staggered nodes. Journal of Computational Physics, pages 111756.
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Vijay Panchore. (2022) Selection of Radial Basis Functions for the Accuracy of Meshfree Galerkin Method in Rotating Euler–Bernoulli Beam Problem. International Journal of Applied and Computational Mathematics 8:3.
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Kun Li, Shiquan Shan, Qi Zhang, Xichuan Cai & Zhijun Zhou. (2022) A computational method to solve for the heat conduction temperature field based on data-driven approach. Thermal Science 26:1 Part A, pages 233-246.
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R Zamolo, L Parussini & E Nobile. (2021) Propagation of geometric uncertainties in heat transfer problems solved by RBF-FD meshless method. Journal of Physics: Conference Series 1868:1, pages 012021.
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Davide Miotti, Riccardo Zamolo & Enrico Nobile. (2021) A Fully Meshless Approach to the Numerical Simulation of Heat Conduction Problems over Arbitrary 3D Geometries. Energies 14:5, pages 1351.
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Riccardo Zamolo & Lucia Parussini. (2020) Analysis of geometric uncertainties in CFD problems solved by RBF-FD meshless method. Journal of Computational Physics 421, pages 109730.
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Masood Ahmad, Siraj-ul-Islam & Baseer Ullah. (2020) Local radial basis function collocation method for stokes equations with interface conditions. Engineering Analysis with Boundary Elements 119, pages 246-256.
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Weichung Yeih. (2020) Solving the Nonlinear Heat Equilibrium Problems Using the Local Multiquadric Radial Basis Function Collocation Method. Mathematics 8:8, pages 1289.
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R. Zamolo & L. Parussini. (2020) Geometric uncertainty propagation in laminar flows solved by RBF-FD meshless technique. Journal of Physics: Conference Series 1599:1, pages 012045.
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Eko Prasetya Budiana, Pranowo, Indarto & Deendarlianto. (2020) Meshless numerical model based on radial basis function (RBF) method to simulate the Rayleigh–Taylor instability (RTI). Computers & Fluids 201, pages 104472.
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Morteza Gholamipoor & Mahmoud Ghiasi. (2019) A meshless numerical wave tank for simulation of fully nonlinear wave–wave and wave–current interactions. Journal of Engineering Mathematics 119:1, pages 115-133.
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Riccardo Zamolo & Enrico Nobile. (2019) Numerical analysis of advection-diffusion problems on 2D general-shaped domains by means of a RBF Collocation Meshless Method. Journal of Physics: Conference Series 1224:1, pages 012013.
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Darrell Pepper & Maria Ramos Gonzalez. (2018) A Localized Meshless Technique for Generating 3-D Wind Fields. Computation 6:1, pages 17.
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R Zamolo & E Nobile. (2017) Numerical analysis of heat conduction problems on 3D general-shaped domains by means of a RBF Collocation Meshless Method. Journal of Physics: Conference Series 923, pages 012034.
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Darrell W. Pepper & Jiajia Waters. (2016) A Local Meshless Method for Approximating 3D Wind Fields. Journal of Applied Meteorology and Climatology 55:1, pages 163-172.
Crossref
Tianyi Chu & Oliver T. Schmidt. (2022) Rbf-Fd Discretization of the Navier-Stokes Equations Using Staggered Nodes. SSRN Electronic Journal.
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