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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 38, 2000 - Issue 3
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Original Articles

AUTOMATIC RESOLUTION CONTROL FOR THE FINITE-VOLUME METHOD, PART 2: ADAPTIVE MESH REFINEMENT AND COARSENING

Pages 257-271 | Published online: 29 Oct 2010

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DuarteM. S. Albuquerque, JoséM. C. Pereira & JoséC. F. Pereira. (2015) Residual Least-Squares Error Estimate for Unstructured h-Adaptive Meshes. Numerical Heat Transfer, Part B: Fundamentals 67:3, pages 187-210.
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F. Juretić & A. D. Gosman. (2010) Error Analysis of the Finite-Volume Method with Respect to Mesh Type. Numerical Heat Transfer, Part B: Fundamentals 57:6, pages 414-439.
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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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Hai-Shan Luo, Xiao-Hong Wang & Michel Quintard. (2008) Adaptive Mesh Refinement for One-Dimensional Three-Phase Flows in Heterogeneous Fractured Porous Media. Numerical Heat Transfer, Part B: Fundamentals 54:6, pages 476-498.
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Xiao-Hong Wang, Michel Quintard & Gilles Darche. (2006) Adaptive Mesh Refinement for One-Dimensional Three-Phase Flow with Phase Change in Porous Media. Numerical Heat Transfer, Part B: Fundamentals 50:3, pages 231-268.
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Tiancheng Zhang, Tiantang Yu, Chen Xing & Tinh Quoc Bui. (2023) Implementation of the adaptive phase-field method with variable-node elements for cohesive fracture. Advances in Engineering Software 186, pages 103554.
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Wenyuan Zhou, Bing Chen, Qingbo Zhu, Sihang Rao & Xu Xu. (2023) Numerical simulation of angled-injected liquid jet breakup in supersonic crossflow by a hybrid VOF-LPT method. International Journal of Multiphase Flow 166, pages 104503.
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Georgios Maragkos, Elena Funk & Bart Merci. (2022) Analysis of adaptive mesh refinement in a turbulent buoyant helium plume. International Journal for Numerical Methods in Fluids 94:9, pages 1398-1415.
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Johan Sarache Piña, Dario Godino, Santiago Corzo & Damian Ramajo. (2022) Air injection in vertical water column: Experimental test and numerical simulation using volume of fluid and two-fluid methods. Chemical Engineering Science 255, pages 117665.
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Milad Khosravi & Mitra Javan. (2022) Three-dimensional features of the lateral thermal plume discharge in the deep cross-flow using dynamic adaptive mesh refinement. Theoretical and Computational Fluid Dynamics 36:3, pages 405-422.
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Wenyuan Zhou, Xu Xu, Qingchun Yang, Ronghui Zhao & Yushu Jin. (2022) Experimental and numerical investigations on the spray characteristics of liquid-gas pintle injector. Aerospace Science and Technology 121, pages 107354.
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Reza Azadi & David S. Nobes. (2021) Local flow dynamics in the motion of slug bubbles in a flowing mini square channel. International Journal of Heat and Mass Transfer 178, pages 121588.
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Caelan Lapointe, Nicholas T. Wimer, Sam Simons-Wellin, Jeffrey F. Glusman, Gregory B. Rieker & Peter E. Hamlington. (2021) Efficient Simulations of Propagating Flames and Fire Suppression Optimization Using Adaptive Mesh Refinement. Fluids 6:9, pages 323.
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Caelan Lapointe, Nicholas T. Wimer, Jeffrey F. Glusman, Amanda S. Makowiecki, John W. Daily, Gregory B. Rieker & Peter E. Hamlington. (2020) Efficient simulation of turbulent diffusion flames in OpenFOAM using adaptive mesh refinement. Fire Safety Journal 111, pages 102934.
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H. Noriega, F. Guibault, M. Reggio & R. Magnan. (2018) A case-study in open-source CFD code verification, Part I: Convergence rate loss diagnosis. Mathematics and Computers in Simulation 147, pages 152-171.
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H. Noriega, F. Guibault, M. Reggio & R. Magnan. (2018) A case-study in open-source CFD code verification. Part II: Boundary condition non-orthogonal correction. Mathematics and Computers in Simulation 147, pages 172-193.
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P. Brambilla, P. Brivio, A. Guardone & G. Romanelli. (2015) Grid convergence assessment for adaptive grid simulations of normal drop impacts onto liquid films in axi-symmetric and three-dimensional geometries. Applied Mathematics and Computation 267, pages 487-497.
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P. Brambilla & A. Guardone. (2015) Assessment of dynamic adaptive grids in Volume-Of-Fluid simulations of oblique drop impacts onto liquid films. Journal of Computational and Applied Mathematics 281, pages 277-283.
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J.J. Cooke, L.M. Armstrong, K.H. Luo & S. Gu. (2014) Adaptive mesh refinement of gas–liquid flow on an inclined plane. Computers & Chemical Engineering 60, pages 297-306.
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Paola Brambilla & Alberto Guardone. (2013) Automatic tracking of corona propagation in three-dimensional simulations of non-normal drop impact on a liquid film. Computing 95:5, pages 415-424.
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J. Klostermann, R. Schwarze & Ch. Brücker. (2012) Meshing of porous foam structures on the micro-scale. Engineering with Computers 29:1, pages 95-110.
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Alexandros Syrakos, Georgios Efthimiou, John G. Bartzis & Apostolos Goulas. (2012) Numerical experiments on the efficiency of local grid refinement based on truncation error estimates. Journal of Computational Physics 231:20, pages 6725-6753.
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Holger Marschall, Korbinian Hinterberger, Christian Schüler, Florian Habla & Olaf Hinrichsen. (2012) Numerical simulation of species transfer across fluid interfaces in free-surface flows using OpenFOAM. Chemical Engineering Science 78, pages 111-127.
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Ravi Kolakaluri, Yuanhong Li & Song-Charng Kong. (2010) A unified spray model for engine spray simulation using dynamic mesh refinement. International Journal of Multiphase Flow 36:11-12, pages 858-869.
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Yuanhong Li & Song-Charng Kong. (2009) Mesh refinement algorithms in an unstructured solver for multiphase flow simulation using discrete particles. Journal of Computational Physics 228:17, pages 6349-6360.
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Andreas M. Lippert, Shengming Chang, Sasanka Are & David P. Schmidt. Mesh Independence and Adaptive Mesh Refinement For Advanced Engine Spray Simulations. Mesh Independence and Adaptive Mesh Refinement For Advanced Engine Spray Simulations.
A. Theodorakakos & G. Bergeles. (2004) Simulation of sharp gas–liquid interface using VOF method and adaptive grid local refinement around the interface. International Journal for Numerical Methods in Fluids 45:4, pages 421-439.
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Jennifer K. Hutchings, Hrvoje Jasak & Seymour W. Laxon. (2004) A strength implicit correction scheme for the viscous-plastic sea ice model. Ocean Modelling 7:1-2, pages 111-133.
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H. Jasak & A.D. Gosman. (2003) Element residual error estimate for the finite volume method. Computers & Fluids 32:2, pages 223-248.
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