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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 43, 2003 - Issue 1
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Original Articles

A NEW HIGH-ORDER-ACCURATE AND BOUNDED SCHEME FOR INCOMPRESSIBLE FLOW

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Pages 19-41 | Published online: 02 Feb 2011

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Yangyu Deng, Yakun Liu, Di Zhang, Jian Wu & Dong Zhang. (2023) Modified far-upwind reconstruction methods for the implementation of NVSF schemes on unstructured grids. Numerical Heat Transfer, Part B: Fundamentals 83:5, pages 292-322.
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Jin-Ping Wang, Jian-Fei Zhang, Zhi-Guo Qu, Ya-Ling He & Wen-Quan Tao. (2014) Comparison of Robustness and Efficiency for SIMPLE and CLEAR Algorithms with 13 High-Resolution Convection Schemes in Compressible Flows. Numerical Heat Transfer, Part B: Fundamentals 66:2, pages 133-161.
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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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M. Darbandi & S. F. Hosseinizadeh. (2007) Numerical Study of Natural Convection in Vertical Enclosures using a Novel Non-Boussinesq Algorithm. Numerical Heat Transfer, Part A: Applications 52:9, pages 849-873.
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Khai-Ching Ng, Mohd.-Zamri Yusoff & Eddie-Yin-Kwee Ng. (2006) Parametric Study of an Improved Gamma Differencing Scheme Based on Normalized-Variable Formulation for Low-Speed Flow With Artificial Compressibility Technique. Numerical Heat Transfer, Part B: Fundamentals 50:6, pages 561-584.
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Jin-Jia Wei, Bo Yu, Wen-Quan Tao & Yasuo Kawaguchi. (2006) A New General Convective Boundedness Criterion. Numerical Heat Transfer, Part B: Fundamentals 49:6, pages 585-598.
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M. A. C. Candezano, L. Corrêa, E. R. Cirilo & R. A. B. de Queiroz. (2019) Numerical simulation of upwinding schemes applied to complex fluid dynamics equations. Journal of the Brazilian Society of Mechanical Sciences and Engineering 41:10.
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文彬 孙. (2019) A High Resolution Upwind Scheme for Traffic Flow on Networks. Advances in Applied Mathematics 08:12, pages 2072-2083.
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亦欣 康. (2017) A High Resolution Finite Volume Scheme forOne Dimensional Euler Equations. International Journal of Fluid Dynamics 05:02, pages 56-68.
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娜 吕. (2016) A Modified CUI Scheme for Convection-Dominated Equations. Advances in Applied Mathematics 05:04, pages 716-727.
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巍 高. (2015) A High-Resolution Finite Volume Scheme Based on Newtonian Interpolation. Advances in Applied Mathematics 04:02, pages 150-161.
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Jian-Fei Zhang, Jin-Ping Wang, Zhi-Guo Qu, Ya-Ling He & Wen-Quan Tao. (2014) The study of different discretized schemes for density and convection terms in high speed compressible flow using the pressure-based method. Applied Thermal Engineering 73:2, pages 1533-1540.
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Di Zhang, Chunbo Jiang, Chen Yang & Yan Yang. (2014) Assessment of different reconstruction techniques for implementing the NVSF schemes on unstructured meshes. International Journal for Numerical Methods in Fluids 74:3, pages 189-221.
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巍 高. (2014) A High Resolution NV/TVD Finite Volume Scheme for the Regularized Long Wave Equation. International Journal of Fluid Dynamics 02:01, pages 1-11.
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Yawen Tang, Bo Yu, Jianyu Xie, Jingfa Li & Peng Wang. (2014) Study on Accuracy of the High-Resolution Schemes. Advances in Mechanical Engineering 6, pages 905053.
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Wei Gao, Hong Li & Yang Liu. (2013) A high resolution NV/TVD Hermite polynomial upwind scheme for convection‐dominated problems. Mathematical Methods in the Applied Sciences 36:9, pages 1107-1122.
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Nicole M.W. Poe & D. Keith Walters. (2012) A nonlocal convective flux limiter for upwind-biased finite volume simulations. International Journal for Numerical Methods in Fluids 70:9, pages 1103-1117.
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Kerim Yapici. (2012) A comparison study on high-order bounded schemes: Flow of PTT-linear fluid in a lid-driven square cavity. Korea-Australia Rheology Journal 24:1, pages 11-21.
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Kausik Nandi & A.W. Date. (2009) Validation of fully implicit method for simulation of flows with interfaces using primitive variables. International Journal of Heat and Mass Transfer 52:13-14, pages 3225-3234.
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Kausik Nandi & A.W. Date. (2009) Formulation of fully implicit method for simulation of flows with interfaces using primitive variables. International Journal of Heat and Mass Transfer 52:13-14, pages 3217-3224.
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K. C. Ng, E. Y. K. Ng, M. Z. Yusoff & T. K. Lim. (2007) Applications of high‐resolution schemes based on normalized variable formulation for 3D indoor airflow simulations. International Journal for Numerical Methods in Engineering 73:7, pages 948-981.
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Lian-xia Li, Hua-sheng Liao & Li-jian Qi. (2008) An improved r-factor algorithm for TVD schemes. International Journal of Heat and Mass Transfer 51:3-4, pages 610-617.
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N.P. Waterson & H. Deconinck. (2007) Design principles for bounded higher-order convection schemes – a unified approach. Journal of Computational Physics 224:1, pages 182-207.
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K. C. Ng, M. Z. Yusoff & E. Y. K. Ng. (2006) Higher‐order bounded differencing schemes for compressible and incompressible flows. International Journal for Numerical Methods in Fluids 53:1, pages 57-80.
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Fang Jin, Nivedita R. Gupta & Kathleen J. Stebe. (2006) The detachment of a viscous drop in a viscous solution in the presence of a soluble surfactant. Physics of Fluids 18:2.
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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. (2006) Heat transfer—A review of 2003 literature. International Journal of Heat and Mass Transfer 49:3-4, pages 451-534.
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W.Q. Tao, Y.L. He, Z.Y. Li & Z.G. Qu. (2005) Some recent advances in finite volume approach and their applications in the study of heat transfer enhancement. International Journal of Thermal Sciences 44:7, pages 623-643.
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