8. Monte Carlo Methods

  1. W. J. Minkowycz3,
  2. E. M. Sparrow4 and
  3. J. Y. Murthy5
  1. A. Haji-Sheikh1 and
  2. J. R. Howell2

Published Online: 21 JAN 2009

DOI: 10.1002/9780470172599.ch8

Handbook of Numerical Heat Transfer, Second Edition

Handbook of Numerical Heat Transfer, Second Edition

How to Cite

Haji-Sheikh, A. and Howell, J. R. (2000) Monte Carlo Methods, in Handbook of Numerical Heat Transfer, Second Edition (eds W. J. Minkowycz, E. M. Sparrow and J. Y. Murthy), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470172599.ch8

Editor Information

  1. 3

    University of Illinois at Chicago, Department of Mechanical and Industrial Engineering (MC 251), 842 West Taylor Street, Chicago, IL 60607-7022, USA

  2. 4

    University of Minnesota-Twin Cities, Department of Mechanical Engineering, 111 Church Street, S.E., Minneapolis, MN 55455, USA

  3. 5

    Purdue University, School of Mechanical Engineering, 1288 Mechanical Engineering Building, West Lafavette, IN 47907-1288, USA

Author Information

  1. 1

    The University of Texas at Arlington, Department of Mechanical and Aerospace Engineering, Arlington, TX 76019-0023, USA

  2. 2

    The University of Texas at Austin, Department of Mechanical Engineering, 1 University Station, C2200, Austin, TX 78712-0292, USA

Publication History

  1. Published Online: 21 JAN 2009
  2. Published Print: 22 DEC 2000

ISBN Information

Print ISBN: 9780471348788

Online ISBN: 9780470172599

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Keywords:

  • thermal conduction;
  • distributed heat source;
  • two-dimensional procedure;
  • boundary conditions – floating random walk;
  • importance sampling method

Summary

This chapter contains sections titled:

  • A Brief Historical Background

  • Introduction to Monte Carlo

  • Random Numbers and Pseudo-Random Numbers

  • Definite Integrals

  • Thermal Conduction

  • Convection

  • Radiation

  • Estimation of Error

  • Discussion

  • Nomenclature

  • References

  • Glossary