A boundary-dispatch Monte Carlo (Exodus) method for analysis of conductive heat transfer problems

Journal Article · Wed Dec 01 04:00:00 EST 1993 · Numerical Heat Transfer. Part B, Fundamentals

DOI:https://doi.org/10.1080/10407799308955904· OSTI ID:143726

Naraghi, M H.N. ^[1]; Tsai, Shunchang ^[2]

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1. Manhattan Coll., Riverdale, NY (United States)
2. Harvard Univ., Cambridge, MA (United States)

A boundary-dispatch Monte Carlo (Exodus) method, in which the particles are dispatched from the boundaries of a conductive medium or source of heat, is developed. A fixed number of particles are dispatched from a boundary node to the nearest internal node. These particles make random walks within the medium similar to that of the conventional Monte Carlo method. Once a particle visits an internal node, a number equal to the temperature of the boundary node from which particles are dispatched is added to a counter. Performing this procedure for all boundary nodes, the temperature of a node can be determined by dividing the flag, or the counter of this node by the total number of particle visits to this node. Two versions of the boundary-dispatch method (BDM) are presented, multispecies and bispecies BDM. The results of bispecies BDM based on the Exodus dispatching method compare well with the Gauss-Seidel method in both accuracy and computational time. Its computational time is much less than the shrinking-boundary Exodus method.

• Sponsoring Organization: USDOE
• OSTI ID: 143726
• Journal Information: Numerical Heat Transfer. Part B, Fundamentals, Journal Name: Numerical Heat Transfer. Part B, Fundamentals Journal Issue: 4 Vol. 24; ISSN 1040-7790; ISSN NHBFEE
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
COMPUTER CALCULATIONS
MONTE CARLO METHOD
NUMERICAL SOLUTION
TEMPERATURE DEPENDENCE
THERMAL CONDUCTION