Control volume finite-element method for heat transfer and fluid flow using colocated variables- 1. computational procedure

Numerical Heat Transfer

Volumn 11, Issue 4, 1987, Pages 363-390

  Schneider, G E ^a   Raw, M J ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS - CALCULATIONS; MATHEMATICAL TECHNIQUES - FINITE ELEMENT METHOD;

COLOCATED VARIABLES; CONTROL VOLUME SURFACE; NODAL POINT VALUES;

HEAT TRANSFER;

EID: 0023170391     PISSN: 01495720     EISSN: None     Source Type: Journal    
DOI: 10.1080/10407788708913560     Document Type: Article

References (18)

1. S. V. Patankar, Numerical Heat Transfer and Fluid Flows, Hemisphere, Washington, D.C., 1980.
2. G. D. Raithby and G. E. Schneider, Numerical Solution of Problems in Incompressible Flow: Treatment of the Velocity-Pressure Coupling, Numer. Heat Transfer, vol. 2, pp. 417-440, 1979.
3. C. Taylor and P. Hood, A Numerical Solution of the Navier-Stokes Equations Using the Finite Element Technique, Comput. Fluids, vol. 1, pp. 73-100, 1973.
4. J. T. Oden and L. C. Wellford, Analysis of Flow of Viscous Fluids by the Finite Element Method, AMAA J., vol. 10, no. 12, pp. 1590-1599.
5. T. J. Chung, Finite Element Analysis of Fluid Dynamics, McGraw-Hill, New York, 1978.
6. A. J, Baker, Computation of Fluid Flow by the Finite Element Method, McGraw-Hill. New York, 1983.
7. G. E. Schneider, G. D. Raithby, and M. M. Yovanovich, Finite Element Analysis of Incompressible Fluid Flow Incorporating Equal Order Pressure and Velocity Interpolation, presented at the International Conference on Numerical Methods in Laminar and Turbulent Flow, Swansea, Wales, 1978.
8. G. E. Schneider, G. D. Raithby, and M. M. Yovanovich, Finite Element Solution Procedures for Solving the Incompressible, Navier-Stokes Equations Using Equal Order Variable Interpolation, Numer. Heat Transfer, vol. 1, pp. 433-451, 1978.
9. B. R. Baliga and S. V. Patankar, A Control Volume Finite-Element Method for TwoDimensional Fluid Flow and Heat Transfer, Numer. Heat Transfer, vol. 6, pp. 245-261, 1983.
10. G. E. Schneider and M. Zedan, Control-Volume-Based Finite Element Formulation of the Heat Conduction Equation, in Spacecraft Thermal Control, Design, and Operation. Prog. Astronaut. Aeronaut., vol. 86, pp. 305-327, 1983.
11. G. E. Schneider and M. J. Raw, A Skewed, Positive Influence Coefficient Upwinding Procedure for Control-Volume-Based Finite-Element Convection-Diffusion Computation, Numer. Heat Transfer, vol. 9, pp. 1-26, 1985.
12. B. R. Baliga, T. T. Pham, and S. V. Patankar, Solution of Some Two-Dimensional Incompressible Fluid Flow and Heat Transfer Problems Using a Control Volume Finite-Element Method, Numer. Heat Transfer, vol. 6, pp. 263-282, 1983.
13. C. Prakash and S. V. Patankar, A Control Volume Based Finite Element Method for Solving the Navier-Stokes Equation Using Equal Order Variable Interpolation, Numer, Heat Transfer, vol. 8, 259-280, 1985.
14. C. Prakash, An Improved Control Volume Finite-Element Method for Heat and Mass Transfer and for Fluid Flow Using Equal-Order Velocity-Pressure Interpolation, Numer. Heat Transfer, vol. 9, pp. 253-276, 1986.
15. M. J. Raw, A New Control-Volume-Based Finite Element Procedure for the Numerical Solution of the Fluid Flow and Scalar Transport Equations, Ph.D thesis, University of Waterloo, Ontario, Canada, 1985.
16. G. E. Schneider and M. J. Raw, A New Control-Volume-Based Finite Element Procedure for the Numerical Solution of the Fluid Flow and Scalar Transport Equations, Final Report to Atomic Energy of Canada Ltd., Chalk River, Ontario, December 1985.
17. G. E. Schneider and M. J. Raw, Control Volume Finite-Element Method for Heat Transfer and Fluid Flow Using Colocated Variables-2. Application and Validation, Numer. Heat Transfer (this issue).
18. G. D. Raithby, Skew Upstream Differencing Schemes for Problems Involving Fluid Flow, Comput. Methods Appl. Mech. Eng., vol. 9, pp. 153-164, 1976.