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Numerical Heat Transfer Volume 9, 1986 - Issue 1
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Original Articles

A SKEWED, POSITIVE INFLUENCE COEFFICIENT UPWINDING PROCEDURE FOR CONTROL-VOLUME-BASED FINITE-ELEMENT CONVECTION-DIFFUSION COMPUTATION

G. E. Schneider Thermal Engineering Group, Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
&
M. J. Raw Thermal Engineering Group, Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Pages 1-26 | Received 24 Sep 1984, Accepted 22 Apr 1985, Published online: 27 Feb 2007

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E. O. B. Ogedengbe, K. L. Olaitan & G. F. Naterer. (2017) Tri-quadratic skew upwind scheme for scalar advection in a control-volume-based finite element method. Numerical Heat Transfer, Part B: Fundamentals 71:6, pages 485-505.
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FernandoS. V. Hurtado & ClovisR. Maliska. (2012) A Family of Positive Flow-Weighted Advection Schemes for Element-Based Finite-Volume Methods. Numerical Heat Transfer, Part B: Fundamentals 62:2-3, pages 113-140.
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Alexandre Lamoureux & B. Rabi Baliga. (2011) Improved Formulations of the Discretized Pressure Equation and Boundary Treatments in Co-Located Equal-Order Control-Volume Finite-Element Methods for Incompressible Fluid Flow. Numerical Heat Transfer, Part B: Fundamentals 59:6, pages 442-472.
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T. L. Fullerton & N. K. Anand. (2010) Periodically Fully-Developed Flow and Heat Transfer Over Flat and Oval Tubes Using a Control Volume Finite-Element Method. Numerical Heat Transfer, Part A: Applications 57:9, pages 642-665.
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Odacir Almeida Neves, Estaner Claro Romão, João Batista Campos Silva & Luiz Felipe Mendes de Moura. (2010) Numerical Simulation of Convection-Diffusion Problems by the Control-Volume-Based Finite-Element Method. Numerical Heat Transfer, Part A: Applications 57:10, pages 730-748.
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E. O. B. Ogedengbe & G. F. Naterer. (2007) Convective Flux Dependence on Upstream Flow Directionality in Finite-Volume Computations. Numerical Heat Transfer, Part A: Applications 51:7, pages 617-633.
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E.O. B. Ogedengbe & G.F. Naterer. (2004) NON-INVERTED SKEW UPWIND SCHEME FOR THREE-DIMENSIONAL CONVECTIVE TRANSPORT. Numerical Heat Transfer, Part B: Fundamentals 46:2, pages 141-164.
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João Flávio Vieira de Vasconcellos & ClovisR. Maliska. (2004) A FINITE-VOLUME METHOD BASED ON VORONOI DISCRETIZATION FOR FLUID FLOW PROBLEMS. Numerical Heat Transfer, Part B: Fundamentals 45:4, pages 319-342.
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O. B. Adeyinka & G. F. Naterer. (2002) APPARENT ENTROPY PRODUCTION DIFFERENCE WITH HEAT AND FLUID FLOW IRREVERSIBILITIES. Numerical Heat Transfer, Part B: Fundamentals 42:5, pages 411-436.
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H. J. Saabas & B. R. Baliga. (1994) CO-LOCATED EQUAL-ORDER CONTROL-VOLUME FINITE-ELEMENT METHOD FOR MULTIDIMENSIONAL, INCOMPRESSIBLE. FLUID FLOW -PART I: FORMULATION. Numerical Heat Transfer, Part B: Fundamentals 26:4, pages 381-407.
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C. R. Swaminathan & V. R. Voller. (1992) STREAMLINE UPWIND SCHEME FOR CONTROL-VOLUME FINITE ELEMENTS, PART II. IMPLEMENTATION AND COMPARISON WITH THE SUPG FINITE-ELEMENT SCHEME. Numerical Heat Transfer, Part B: Fundamentals 22:1, pages 109-124.
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C. R. Swaminathan & V. R. Voller. (1992) STREAMLINE UPWIND SCHEME FOR CONTROL-VOLUME FINITE ELEMENTS, PART I. FORMULATIONS. Numerical Heat Transfer, Part B: Fundamentals 22:1, pages 95-107.
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P.F. Peterson. (1992) A METHOD FOR PREDICTING AND MINIMIZING NUMERICAL DIFFUSION. Numerical Heat Transfer, Part B: Fundamentals 21:3, pages 343-366.
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N. A. Hookey, B. R. Baliga & C. Prakash. (1988) EVALUATION AND ENHANCEMENTS OF SOME CONTROL VOLUME FINITE-ELEMENT METHODS—PART 1. CONVECTION-DIFFUSION PROBLEMS. Numerical Heat Transfer 14:3, pages 255-272.
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C. Prakash. (1987) EXAMINATION OF THE UPWIND ( DONOR-CELL) FORMULATION IN CONTROL VOLUME FINITE-ELEMENT METHODS FOR FLUID FLOW AND HEAT TRANSFER. Numerical Heat Transfer 11:4, pages 401-416.
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G. E. Schneider & M. J. Raw. (1987) CONTROL VOLUME FINITE-ELEMENT METHOD FOR HEAT TRANSFER AND FLUID FLOW USING COLOCATED VARIABLES— 2. APPLICATION AND VALIDATION. Numerical Heat Transfer 11:4, pages 391-400.
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G. E. Schneider & M. J. Raw. (1987) CONTROL VOLUME FINITE-ELEMENT METHOD FOR HEAT TRANSFER AND FLUID FLOW USING COLOCATED VARIABLES— 1. COMPUTATIONAL PROCEDURE. Numerical Heat Transfer 11:4, pages 363-390.
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