A BOUNDARY-DISPATCH MONTE CARLO (EXODUS) METHOD FOR ANALYSIS OF CONDUCTIVE HEAT TRANSFER PROBLEMS

REFERENCES

• A. Haji-Sheikh , The Monte Carlo Method, in W. J. Minkowycz, E. M. Sparrow, G. E. Schneider, and R. H. Pletcher ( eds. ), Handbook of Numerical Heat Transfer , pp. 673 – 722 , 1988 .
   Google Scholar
• A. Haji-Sheikh and E. M. Sparrow , The Floating Random Walk and Its Application to Monte Carlo Solution of Heat Equations , J. SIAM Appl. Math. , vol. 14 , pp. 370 – 389 , 1966 .
   Web of Science ®Google Scholar
• A. Haji-Sheikh and E. M. Sparrow , The Solution of Heat Conduction Problems by Probability Methods , J. Heat Transfer , vol. 89 , no. 2 , pp. 121 – 131 , 1967 .
   Web of Science ®Google Scholar
• L. C. Burmeister , A Monte Carlo Procedure for Straight Convecting Boundaries , Int. J. Heat Mass Transfer , vol. 28 , no. 3 , pp. 717 – 720 , 1985 .
   Web of Science ®Google Scholar
• J. J. Thompson and P. Y. P. Chen , Heat Conduction with Internal Sources by Modified Monte Carlo Methods , Nuclear Eng. and Design , vol. 12 , pp. 207 – 214 , 1970 .
   Web of Science ®Google Scholar
• A. F. Emery and W. W. Carson , A Modification to the Monte Carlo Method—The Exodus Method , J. Heat Transfer , vol. 90 , no. 3 , pp. 328 – 332 , 1968 .
   Web of Science ®Google Scholar
• G. E. Zinsmeister and J. A. Sawyerr , A Method for Improving the Efficiency of Monte Carlo Calculation of Heat Conduction Problems , J. Heat Transfer , vol. 90 , no. 3 , pp. 328 – 332 , 1974 .
   Google Scholar
• G. E. Zinsmeister and S. S. Pan , A Modification of the Monte Carlo Method for Steady Heat Conduction Problems , Int. J, Numer. Meth. Eng. , vol. 10 , pp. 1057 – 1064 , 1976 .
   Web of Science ®Google Scholar
• S. K. Fraley , T. J. Hoffman , and P. N. Stevens , A Monte Carlo Method of Solving Heat Conduction Problems , J. Heat Transfer , vol. 102 , pp. 121 – 125 , 1980 .
   Web of Science ®Google Scholar
• J. Padovan , Solution of Anisotropic Heat Conduction Problems by Monte Carlo Procedures , J. Heat Transfer , vol. 96 , pp. 428 – 430 , 1974 .
   Web of Science ®Google Scholar
• M. H. N. Naraghi and B. T. F. Chung , A Multiple Step Random Walk Monte Carlo Method for Heat Conduction Involving Distributed Heat Source , ASME paper 82-HT-25 , presented at the National Heat Transfer Conference , St. Louis , Missouri , 1982 .
   Google Scholar
• T. J. Hoffman and N. E. Banks , Monte Carlo Solution to the Dirichlet Problem with Double-Layer Potential Density , Trans. Am. Nuclear Soc , vol. 18 , pp. 136 – 137 , 1974 .
   Google Scholar
• T. J. Hoffman and N. E. Banks , Extension of the Surface-Density Monte Carlo Technique to Heat Transfer in Nonconvex Regions , Trans. Am. Nuclear Soc , vol. 19 , p. 164 , 1974 .
   Google Scholar
• T. J. Hoffman and N. E. Banks , Monte Carlo Surface Density Solution to the Dirichlet Heat Transfer Problem , Nuclear Sci. Eng. , vol. 59 , pp. 205 – 214 , 1976 .
   Web of Science ®Google Scholar
• E. S. Troubetzkoy and N. E. Banks , Solution of the Heat Diffusion Equation by Monte Carlo , Trans. Am. Nuclear Soc , vol. 19 , pp. 163 – 164 , 1974 .
   Google Scholar