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Numerical Heat Transfer Volume 11, 1987 - Issue 4
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Original Articles

CONTROL VOLUME FINITE-ELEMENT METHOD FOR HEAT TRANSFER AND FLUID FLOW USING COLOCATED VARIABLES— 2. APPLICATION AND VALIDATION

G. E. Schneider Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, N2L 3GI, Canada
&
M. J. Raw Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, N2L 3GI, Canada
Pages 391-400 | Received 27 Oct 1986, Accepted 09 Dec 1986, Published online: 05 Apr 2007

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G. D. Raithby. (2023) A solution to the pressure velocity coupling problem in computational fluid dynamics. Numerical Heat Transfer, Part B: Fundamentals 84:2, pages 208-233.
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H. Alisadeghi, S. M. H. Karimian & Amin Balazadeh Koucheh. (2022) Comparison of collocated methods of MCIM and PWIM for different solution algorithms in CVFEM. International Journal for Computational Methods in Engineering Science and Mechanics 23:1, pages 57-80.
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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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M. Rezvani & A. Ashrafizadeh. (2010) Numerical Simulation of the Inter-Equation Couplings in All-Speed Flows via the Method of Proper Closure Equations. Numerical Heat Transfer, Part A: Applications 58:4, pages 313-332.
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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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Mohamed Amara & Mohammed El Ganaoui. (2007) Etude par simulation numérique d’un réacteur de synthèse de nanopoudres. European Journal of Computational Mechanics 16:6-7, pages 775-794.
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JayathiY. Murthy & SuhasV. Patankar. (1990) A PARTIALLY PARABOLIC CALCULATION PROCEDURE FOR DUCT FLOWS IN IRREGULAR GEOMETRIES. PART I: FORMULATION. Numerical Heat Transfer, Part B: Fundamentals 16:1, pages 1-15.
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N. A. Hookey & B. R. Baliga. (1988) EVALUATION AND ENHANCEMENTS OF SOME CONTROL VOLUME FINITE-ELEMENT METHODS—PART 2. INCOMPRESSIBLE FLUID FLOW PROBLEMS. Numerical Heat Transfer 14:3, pages 273-293.
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Articles from other publishers (12)

Mohammad Hossein Zolfagharnasab, Milad Salimi & Cyrus Aghanajafi. (2021) Application of non-pressure-based coupled procedures for the solution of heat and mass transfer for the incompressible fluid flow phenomenon. International Journal of Heat and Mass Transfer 181, pages 121851.
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Kehinde L. Olaitan & Emmanuel O. Ogedengbe. (2016) Sensitivity Analysis of Upwinding Schemes for Three Dimensional Advection-Diffusion Transport Using Control-Volume Based Finite Element Method. Sensitivity Analysis of Upwinding Schemes for Three Dimensional Advection-Diffusion Transport Using Control-Volume Based Finite Element Method.
Thomas Smith, Matthew Barone, Ryan Bond, Alfred Lorber & David Baur. (2007) Comparison of Reconstruction Techniques for Unstructured Mesh Vertex Centered Finite Volume Schemes. Comparison of Reconstruction Techniques for Unstructured Mesh Vertex Centered Finite Volume Schemes.
Y. Stry, M. Hainke & Th. Jung. (2002) Comparison of linear and quadratic shape functions for a hybrid control‐volume finite element method. International Journal of Numerical Methods for Heat & Fluid Flow 12:8, pages 1009-1031.
Crossref
M. Darbandi & G. Schneider. (1996) Solving compressible and incompressible flows using a momentum variable calculation procedure. Solving compressible and incompressible flows using a momentum variable calculation procedure.
S. M. H. Karimian & G. E. Schneider. (1995) Pressure-based control-volume finite element method for flow at all speeds. AIAA Journal 33:9, pages 1611-1618.
Crossref
S. Karimian & G. Schneider. (1994) Numerical solution of two-dimensional incompressible Navier-Stokes equations - Treatment of velocity-pressure coupling. Numerical solution of two-dimensional incompressible Navier-Stokes equations - Treatment of velocity-pressure coupling.
S. M. H. Karimian & G. E. Schneider. (1994) Pressure-based computational method for compressible and incompressible flows. Journal of Thermophysics and Heat Transfer 8:2, pages 267-274.
Crossref
B. F. Blackwell & R. E. Hogan. (1993) Numerical solution of axisymmetric heat conduction problems using finite control volume technique. Journal of Thermophysics and Heat Transfer 7:3, pages 462-471.
Crossref
G. NATERER & G. SCHNEIDER. (1992) Physical influences of integration point eqiatopms on a control-volume-based finite element method for compressible flows. Physical influences of integration point eqiatopms on a control-volume-based finite element method for compressible flows.
G. B. Deng, M. Ferry, J. Piquet, P. Queutey & M. Visonneau. 1992. Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics. Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics 191 200 .
G. SCHNEIDER & E. KOCHAVI. (1989) A control volume based finite element formulation of the compressible flow equations with application to the shock tube problem. A control volume based finite element formulation of the compressible flow equations with application to the shock tube problem.

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