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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 30, 1996 - Issue 1
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Original Articles

FOURIER ANALYSIS OF THE SIMPLE ALGORITHM FORMULATED ON A COLLOCATED GRID

Timothy F. Miller Applied Research Laboratory, The Pennsylvania State University, P.O. Box 30 State College, Pennsylvania, 16804, USA
Pages 45-66 | Received 07 Aug 1995, Accepted 15 Feb 1996, Published online: 28 Mar 2007

Citations (13)

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Ya Liu, Fei Wang & Yi-tian Li. (2016) Fourier analysis of the SIMPLE serials. Numerical Heat Transfer, Part B: Fundamentals 69:3, pages 197-216.
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Fei Wang, Wei Zhang & Yitian Li. (2013) Fourier Analysis of the Effect of Momentum Interpolation on the SIMPLE Series Formulated on a Collocated Grid. Numerical Heat Transfer, Part B: Fundamentals 64:1, pages 48-70.
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F. Wang & Y. T. Li. (2012) An Approaching Fourier Analysis of the Relaxation Effect on the SIMPLE Algorithm. Numerical Heat Transfer, Part A: Applications 62:6, pages 499-511.
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JosephJ. Cor, TimothyF. Miller & JoelD. Richter. (2007) Linear Fourier and Iteration-Delay Analysis of a Computational Fluid Dynamics Problem During Execution. Numerical Heat Transfer, Part B: Fundamentals 52:5, pages 387-407.
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Z. G. Qu, W. Q. Tao & Y. L. He. (2004) IMPLEMENTATION OF CLEAR ALGORITHM ON COLLOCATED GRID SYSTEM AND APPLICATION EXAMPLES. Numerical Heat Transfer, Part B: Fundamentals 47:1, pages 65-96.
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Articles from other publishers (8)

Chaoshuai Han, Xuezheng Zhu, Jin Gu, Qinwen Zuo, Lin Chen & Yihao Shi. (2021) Near-field prediction of chemical hazard diffusion based on improved differential evolution algorithm and fireworks algorithm. Environmental Monitoring and Assessment 193:10.
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Horacio J. Aguerre, César M. Venier, César I. Pairetti, Santiago Márquez Damián & Norberto M. Nigro. (2020) A SIMPLE-based algorithm with enhanced velocity corrections: The COMPLEX method. Computers & Fluids 198, pages 104396.
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Cesar M. Venier, César I. Pairetti, Santiago Marquez Damian & Norberto M. Nigro. (2017) On the stability analysis of the PISO algorithm on collocated grids. Computers & Fluids 147, pages 25-40.
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Fei Wang, Li Zheng & Yi Tian Li. (2012) Fourier Analysis of the Effect of Non-Constant Terms on the Convergence Properties of SIMPLE Algorithm Formulated on a Staggered Grid. Applied Mechanics and Materials 204-208, pages 4688-4693.
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Timothy F. Miller & Daniel J. Miller. (2003) A Fourier analysis of the IPSA/PEA algorithms applied to multiphase flows with mass transfer. Computers & Fluids 32:2, pages 197-221.
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P. Wesseling & C.W. Oosterlee. (2001) Geometric multigrid with applications to computational fluid dynamics. Journal of Computational and Applied Mathematics 128:1-2, pages 311-334.
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P. Wesseling & C.W. Oosterlee. 2001. Partial Differential Equations. Partial Differential Equations 311 334 .
E.R.G. Eckert, R.J. Goldstein, W.E. Ibele, 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. Kulacki & U. Kortshagen. (2000) Heat transfer — a review of 1996 literature. International Journal of Heat and Mass Transfer 43:8, pages 1273-1371.
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