Continuous surfacedensity Monte Carlo solution to the Dirichlet heattransfer problem
Abstract
In this report a new and efficient Monte Carlo approach to the solution of the Dirichlet problem is developed and implemented. This approach, the surfacedensity technique, is capable of treating problems with arbitrary geometric complexity. No compromises with the physics of the problem are required, and new insight into efficient Monte Carlo solutions of many difficult problems of mathematical physics is gained. The adaptability of Monte Carlo radiation transport codes to this method is highly useful for problems that require calculation of both heat transfer and radiation transport, e.g., analyses of fuelshippingcasks. Criticality, shielding, and heat transfer can be calculated with one geometric description and one computer code.
 Publication:

Final Report Ballistic Research Labs
 Pub Date:
 March 1977
 Bibcode:
 1977brla.reptQ....B
 Keywords:

 Dirichlet Problem;
 Heat Transfer;
 Monte Carlo Method;
 Surface Properties;
 Computer Programs;
 Continuity (Mathematics);
 Radiative Transfer;
 Surface Geometry;
 Fluid Mechanics and Heat Transfer