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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 36, 1999 - Issue 5
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Original Articles

NOTE ON THE USE OF MOMENTUM INTERPOLATION METHOD FOR UNSTEADY FLOWS

Pages 545-550 | Published online: 29 Oct 2010

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Read on this site (19)

Sérgio Peters, Hermínio T. Honório & Clovis R. Maliska. (2020) The Physical Influence Scheme applied to staggered unstructured grids for solving fluid flow problems. Numerical Heat Transfer, Part B: Fundamentals 78:4, pages 197-220.
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I. Sezai. (2017) Implementation of boundary conditions in pressure-based finite volume methods on unstructured grids. Numerical Heat Transfer, Part B: Fundamentals 72:1, pages 82-107.
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Wei You, Zeng-Yao Li & Wen-Quan Tao. (2017) A physically consistent FVM interpolation scheme based on the discretized convection–diffusion equation. Numerical Heat Transfer, Part B: Fundamentals 71:5, pages 443-455.
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Jie Li, Quan Zhang & Zhi-Qiang(John) Zhai. (2017) An efficient SIMPLER-revised algorithm for incompressible flow with unstructured grids. Numerical Heat Transfer, Part B: Fundamentals 71:5, pages 425-442.
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DmitryK. Kolmogorov, WenZ. Shen, NielsN. Sørensen & JensN. Sørensen. (2015) Fully Consistent SIMPLE-Like Algorithms on Collocated Grids. Numerical Heat Transfer, Part B: Fundamentals 67:2, pages 101-123.
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Xue-song Li. (2014) Uniform algorithm for all-speed shock-capturing schemes. International Journal of Computational Fluid Dynamics 28:6-10, pages 329-338.
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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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Lin Bu, Jiyun Zhao & K.J. Tseng. (2012) Study on Momentum Interpolation Methods with Curvilinear Collocated Grids in Single-Phase and Two-Phase Flows. Numerical Heat Transfer, Part B: Fundamentals 61:4, pages 298-310.
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Jérôme Gehannin, Mihai Arghir & Olivier Bonneau. (2009) Complete Squeeze-Film Damper Analysis Based on the “Bulk Flow” Equations. Tribology Transactions 53:1, pages 84-96.
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Muhammad Ijaz & N. K. Anand. (2008) Co-Located Variables Approach Using Implicit Runge-Kutta Methods for Unsteady Incompressible Flow Simulation. Numerical Heat Transfer, Part B: Fundamentals 54:4, pages 291-313.
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M.R. Hadian & A.R. Zarrati. (2008) Application of Multi-Block method for simulating shallow free surface flows in complex geometries. Journal of Hydraulic Research 46:5, pages 668-678.
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Ana Cubero & Norberto Fueyo. (2007) A Compact Momentum Interpolation Procedure for Unsteady Flows and Relaxation. Numerical Heat Transfer, Part B: Fundamentals 52:6, pages 507-529.
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Y. P. Cheng, T. S. Lee, H. T. Low & W. Q. Tao. (2007) An Efficient and Robust Numerical Scheme for the SIMPLER Algorithm on Non-Orthogonal Curvilinear Coordinates: CLEARER. Numerical Heat Transfer, Part B: Fundamentals 51:5, pages 433-461.
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Y. P. Cheng, T. S. Lee, H. T. Low & W. Q. Tao. (2007) Improvement of SIMPLER Algorithm for Incompressible Flow on Collocated Grid System. Numerical Heat Transfer, Part B: Fundamentals 51:5, pages 463-486.
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Z. G. Qu, W. Q. Tao & Y. L. He. (2007) An Improved Numerical Scheme for the SIMPLER Method on NonOrthogonal Curvilinear Coordinates: SIMPLERM. Numerical Heat Transfer, Part B: Fundamentals 51:1, pages 43-66.
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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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Seok-Ki Choi, Seong-O Kim, Chang-Ho Lee & Hoon-Ki Choi. (2003) USE OF THE MOMENTUM INTERPOLATION METHOD FOR FLOWS WITH A LARGE BODY FORCE. Numerical Heat Transfer, Part B: Fundamentals 43:3, pages 267-287.
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Bo Yu, Wen-Quan Tao, Jin-Jia Wei, Yasuo Kawaguchi, Toshio Tagawa & Hiroyuki Ozoe. (2002) DISCUSSION ON MOMENTUM INTERPOLATION METHOD FOR COLLOCATED GRIDS OF INCOMPRESSIBLE FLOW. Numerical Heat Transfer, Part B: Fundamentals 42:2, pages 141-166.
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Yasuo Kawaguchi, Wen-Quan Tao & Hiroyuki Ozoe. (2002) CHECKERBOARD PRESSURE PREDICTIONS DUE TO THE UNDERRELAXATION FACTOR AND TIME STEP SIZE FOR A NONSTAGGERED GRID WITH MOMENTUM INTERPOLATION METHOD. Numerical Heat Transfer, Part B: Fundamentals 41:1, pages 85-94.
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D. McBride, T.N. Croft & M. Cross. (2008) A coupled finite volume method for the computational modelling of mould filling in very complex geometries. Computers & Fluids 37:2, pages 170-180.
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Jure Mencinger & Iztok Žun. (2007) On the finite volume discretization of discontinuous body force field on collocated grid: Application to VOF method. Journal of Computational Physics 221:2, pages 524-538.
Crossref
D. McBride, T. N. Croft & M. Cross. (2006) A coupled finite volume method for the solution of flow processes on complex geometries. International Journal for Numerical Methods in Fluids 53:1, pages 81-104.
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Ramji Kamakoti & Wei Shyy. (2004) Fluid–structure interaction for aeroelastic applications. Progress in Aerospace Sciences 40:8, pages 535-558.
Crossref
Jong Chull Jo, Young Hwan Choi & Seok Ki Choi. (2003) Numerical Analysis of Unsteady Conjugate Heat Transfer and Thermal Stress for a Curved Piping System Subjected to Thermal Stratification. Journal of Pressure Vessel Technology 125:4, pages 467-474.
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Yong-Bum Lee, Won Pyo Chang, Young Min Kwon, Kwan Seong Jeong & Dohee Hahn. (2002) Development of a two-dimensional model for the thermohydraulic analysis of the hot pool in liquid metal reactors. Annals of Nuclear Energy 29:1, pages 21-40.
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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. (2001) Heat transfer – a review of 1999 literature. International Journal of Heat and Mass Transfer 44:19, pages 3579-3699.
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