Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 22, 1992 - Issue 1
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Original Articles

STREAMLINE UPWIND SCHEME FOR CONTROL-VOLUME FINITE ELEMENTS, PART I. FORMULATIONS

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Pages 95-107 | Received 08 May 1991, Accepted 24 Oct 1991, Published online: 24 Oct 2007

REFERENCES

  • O. C. Zienkiewicz and R. L. Taylor , The Finite Element Method , 4th ed. , McGraw–Hill , New York , vol. 1 , 1989 .
  • O. C. Zienkiewicz and R. L. Taylor , The Finite Element Method , 4th ed. , McGraw–Hill , New York , vol, 2 , 1991 .
  • B. R. Baliga and S. V. Patankar , A New Finite–Element Formulation for Convection–Diffusion Problems , Numer. Heat Transfer , vol. 3 , pp. 393 – 409 , 1980 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , D.C. , 1980 .
  • O. Pironneau , Finite Element Methods for Fluids , Wiley , New York , 1989 .
  • A. N. Brooks and T. J. R. Hughes , Streamline Upwind/Petrov–Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier–Stokes Equations , Comput. Meth. Appl. Mech. Eng. , vol. 32 , pp. 199 – 259 , 1982 .
  • G. E. Schneider , Elliptic Systems Finite–Element Method I , in W. J. Minkowycz, E. M. Sparrow, R. H. Pletcher, and G. E. Schneider (eds.) , Handbook of Numerical Heat Transfer , Wiley , New York , chap. 10 , pp. 379 – 420 , 1988 .
  • B. R. Baliga and S. V. Patankar , Elliptic Systems Finite–Element Method II , in W. J. Minkowycz, E. M. Sparrow, R. H. Pletcher, and G. E. Schneider (eds.) , Handbook of Numerical Heat Transfer , Wiley , New York , chap. 11 , pp. 421 – 461 , 1988 .
  • S. Ramadhyani and S. V. Patankar , Solution of the Convection–Diffusion Equation by a Finite–Element Method Using Quadrilateral Elements , Numer. Heat Transfer , vol. 8 , pp. 595 – 612 , 1985 .
  • 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 .
  • N. A. Hookey , B. R. Baliga , and C. Prakash , Evaluation and Enhancements of Some Control–Volume Finite–Element Methods–Part 1. Convection–Diffusion Problems , Numer. Heat Transfer , vol. 14 , pp. 255 – 272 , 1988 .
  • 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 , 1986 .
  • T. E. Tezduyar and D. K. Ganjoo , Petrov–Galerkin Formulations with Weighting Functions Dependent upon Spatial and Temporal Discretization Application to Transient Convection–Diffusion Problems , Comput. Meth. Appl. Mech. Eng. , vol. 59 , pp. 49 – 71 , 1986 .
  • C. C. Yu and J. C. Heinrich , Petrov–Galerkin Method for Multidimensional, Time–Dependent, Convective–Diffusion Equations , Int. J. Numer. Meth. Eng. , vol. 24 , pp. 2201 – 2215 , 1987 .
  • C. R. Swaminathan and V. R. Voller , A Streamline Upwind Scheme for Control–Volume Finite Elements, Part 2. Implementation and Comparison with the SUPG Finite–Element Scheme , Numer. Heat Transfer, Part B , vol. 22 , no. 1 , pp. 109 – 124 , 1992 .

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