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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 1, 1978 - Issue 1
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Original Articles

An Examination of Four Differencing Schemes for Some Elliptic-Type Convection Equations

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Pages 87-100 | Published online: 14 Jul 2010

References

  • Raithby , G. D. and Torrance , K. E. 1974 . Upstream-Weighted Differencing Schemes and Their Application to Elliptic Problems Involving Fluid Flow . Computer Fluids , vol. 2 : 191
  • Spalding , D. B. 1972 . A Novel Finite Difference Formulation for Differential Expressions Involving both First and Second Derivatives . Int. J. Numer. Methods Eng. , vol. 4 : 551
  • Allen , D. N. de G. and Southwell , R. V. 1955 . Relaxation Methods Applied to Determine the Motion, in Two Dimensions, of a Viscous Fluid Past a Fixed Cylinder . Q. J. Mech. Appl. Math. , vol. 8 : 129
  • Runchal , A. K. 1972 . Convergence and Accuracy of Three Finite Difference Schemes for a Two-Dimensional Conduction and Convection Problem . Int. J. Numer. Methods Eng. , vol. 4 : 541
  • Chu , H. H.-S. and Churchill , S. W. 1976 . The Effect of Heater Size, Location, Aspect Ratio and Boundary Conditions on Two-Dimensional, Laminar, Natural Convection in Rectangular Channels . J. Heat Transfer , vol. 98 : 194
  • Torrance , K. E. and Rockett , J. A. 1969 . Numerical Study of Natural Convection in an Enclosure with Localized Heating from Below–Creeping Flow to the Onset of Laminar Instability . J. Fluid Mech. , vol. 36 : 33
  • Torrance , K. E. , Orloff , L. and Rockett , J. A. 1969 . Experiments on Natural Convection in Enclosures with Localized Heating from Below . J. Fluid Mech. , vol. 36 : 21
  • Knight , C. 1975 . Numerical Studies of Natural Convection in an Enclosure , Cambridge, Mass. : Division of Engineering and Applied Physics, Harvard Univ. . Home Fire Research Project Tech. Rep. 15
  • Doria , M. and Ku , T. C. 1974 . Some Predictive Results Obtained from Numerical Model for the Computation of Unsteady Recirculating Flows , Notre Dame, , Ind : Univ. of Notre Dame . Aerospace and Mechanical Engineering Rep. TR-37191–74–6
  • Wilkes , J. O. and Churchill , S. W. 1966 . The Finite Difference Computation of Natural Convection in a Rectangular Enclosure . AIChE J. , vol. 12 : 161
  • Burggraf , O. R. 1966 . Analytical and Numerical Studies of the Structure of Steady Separated Flows . J. Fluid Mech. , vol. 24 : 113
  • Hellums , J. D. and Churchill , S. W. 1961 . Computation of Natural Convection by Finite Difference Methods . Int. Dev. Heat Transfer, part 1 , : 985
  • Gosman , A. D. , Pun , W. M. , Runchal , A. K. , Spalding , D. B. and Wolfshtein , M. 1969 . Heat and Mass Transfer in Recirculating Flows , New York : Academic Press .

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