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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 27, 1995 - Issue 1
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Original Articles

ASSESSMENT OF HIGHER-ORDER UPWIND SCHEMES INCORPORATING FCT FOR CONVECTION-DOMINATEDPROBLEMS

Yuguo Li Division of Building, Construction, and Engineering, CSSRO, Highett, Victoria, 3190, AustraliaView further author information
&
Murray Rudman Division of Building, Construction, and Engineering, CSSRO, Highett, Victoria, 3190, Australia
Pages 1-21 | Received 14 Dec 1993, Accepted 23 Aug 1994, Published online: 12 Mar 2007

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TonyW. H. Sheu, NeoS. C. Kao, P.H. Chiu & C.S. Lin. (2011) Development of an Upwinding Scheme through the Minimization of Modified Wavenumber Error for the Incompressible Navier-Stokes Equations. Numerical Heat Transfer, Part B: Fundamentals 60:3, pages 179-202.
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N. Sekarapandian, Y. V. S. S. Sanyasiraju & S. Vengadesan. (2009) A Novel Semi-Explicit Spatially Fourth Order Accurate Projection Method for Unsteady Incompressible Viscous Flows. Numerical Heat Transfer, Part A: Applications 56:8, pages 665-684.
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SachinB. Paramane & Atul Sharma. (2008) Consistent Implementation and Comparison of FOU, CD, SOU, and QUICK Convection Schemes on Square, Skew, Trapezoidal, and Triangular Lid-Driven Cavity Flow. Numerical Heat Transfer, Part B: Fundamentals 54:1, pages 84-102.
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W. W. Jin & W. Q. Tao. (2007) Design of High-Order Difference Scheme and Analysis of Solution Characteristics—Part II: A Kind of Third-Order Difference Scheme and New Scheme Design Theory. Numerical Heat Transfer, Part B: Fundamentals 52:3, pages 255-279.
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W. W. Jin & W. Q. Tao. (2007) Design of High-Order Difference Scheme and Analysis of Solution Characteristics—Part I: General Formulation of High-Order Difference Schemes and Analysis of Convective Stability. Numerical Heat Transfer, Part B: Fundamentals 52:3, pages 231-254.
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P. H. Chiu, TonyW. H. Sheu & R. K. Lin. (2005) Development of a Dispersion Relation-Preserving Upwinding Scheme for Incompressible Navier–Stokes Equations on NonStaggered Grids. Numerical Heat Transfer, Part B: Fundamentals 48:6, pages 543-569.
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D. M. Leppinen. (2003) THE EROSION OF A SALINITY STEP BY DISTRIBUTED AND LOCALIZED HEAT SOURCES. Numerical Heat Transfer, Part A: Applications 44:6, pages 625-644.
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Z. Y. Li & W. Q. Tao. (2002) A New Stability-Guaranteed Second-Order Difference Scheme. Numerical Heat Transfer, Part B: Fundamentals 42:4, pages 349-365.
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Yuguo Li & Laszlo Fuchs. (1996) AN ANISOTROPIC LOCAL GRID REFINEMENT METHOD FOR FLUID FLOW SIMULATION. Numerical Heat Transfer, Part B: Fundamentals 30:2, pages 195-215.
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N. Frangieh, D. Morvan, S. Meradji, G. Accary & O. Bessonov. (2018) Numerical simulation of grassland fires behavior using an implicit physical multiphase model. Fire Safety Journal 102, pages 37-47.
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Qingshan Huang, Weipeng Zhang & Chao Yang. (2015) Modeling transport phenomena and reactions in a pilot slurry airlift loop reactor for direct coal liquefaction. Chemical Engineering Science 135, pages 441-451.
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Bernard Zappoli, Daniel Beysens & Yves GarrabosBernard Zappoli, Daniel Beysens & Yves Garrabos. 2015. Heat Transfers and Related Effects in Supercritical Fluids. Heat Transfers and Related Effects in Supercritical Fluids 413 424 .
Chao Yang & Zai-Sha Mao. 2014. Numerical Simulation of Multiphase Reactors with Continuous Liquid Phase. Numerical Simulation of Multiphase Reactors with Continuous Liquid Phase 153 229 .
Qingshan Huang, Tianzhong Liu, Jing Yang, Lishan Yao & Lili Gao. (2011) Evaluation of radiative transfer using the finite volume method in cylindrical photoreactors. Chemical Engineering Science 66:17, pages 3930-3940.
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Darci L. Savicki, Horácio A. Vielmo & Arno Krenzinger. (2011) Three-dimensional analysis and investigation of the thermal and hydrodynamic behaviors of cylindrical storage tanks. Renewable Energy 36:5, pages 1364-1373.
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P.H. Chiu & Tony W.H. Sheu. (2009) On the development of a dispersion-relation-preserving dual-compact upwind scheme for convection–diffusion equation. Journal of Computational Physics 228:10, pages 3640-3655.
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Gilbert Accary & Isabelle Raspo. (2006) A 3D finite volume method for the prediction of a supercritical fluid buoyant flow in a differentially heated cavity. Computers & Fluids 35:10, pages 1316-1331.
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Gilbert Accary, Isabelle Raspo, Patrick Bontoux & Bernard Zappoli. (2004) Three-dimensional Rayleigh–Bénard instability in a supercritical fluid. Comptes Rendus Mécanique 332:3, pages 209-216.
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E.r.g Eckert, R.J Goldstein, W.e Ibele, S.V Patankar, T.W Simon, P.J Strykowski, K.K Tamma, T.H Kuehn, A Bar-Cohen, J.V.R Heberlein, J.H Davidson, J Bischof, F Kulacki & U Kortshagen. (1999) Heat transfer—a review of 1995 literature. International Journal of Heat and Mass Transfer 42:15, pages 2717-2797.
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Yuguo Li, Murray Rudman & Gary Brown. (1998) Particle transport in a bottom-feed separation vessel. Applied Mathematical Modelling 22:12, pages 1023-1036.
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Murray Rudman. (1998) A volume-tracking method for incompressible multifluid flows with large density variations. International Journal for Numerical Methods in Fluids 28:2, pages 357-378.
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Tony Howes & Murray Rudman. (2004) Flow and axial dispersion simulation for traveling axisymmetric Taylor vortices. AIChE Journal 44:2, pages 255-262.
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Yuguo Li, Angelo Delsante & Jeff Symons. (1997) Residential Kitchen Range Hoods - Buoyancy-Capture Principle and Capture Efficiency Revisited. Indoor Air 7:3, pages 151-157.
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Yuguo Li. (1997) Wavenumber-Extended High-Order Upwind-Biased Finite-Difference Schemes for Convective Scalar Transport. Journal of Computational Physics 133:2, pages 235-255.
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Yuguo Li & Angelo Delsante. (1996) Derivation of capture efficiency of kitchen range hoods in a confined space. Building and Environment 31:5, pages 461-468.
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Yuguo Li & Lisa Baldacchino. (2005) Implementation of some higher‐order convection schemes on non‐uniform grids. International Journal for Numerical Methods in Fluids 21:12, pages 1201-1220.
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