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On the Solution of Transport Problems by Conditional Monte Carlo

D.W. Drawbaugh

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Abstract

The application of a conditional Monte Carlo method for estimating the solution of transport problems is described. Statistical estimators for solving transport problems by the conditional Monte Carlo method are given for both homogeneous and heterogeneous problems. The analog and conditional Monte Carlo solutions of a simple one-speed transport equation are compared with the exact deterministic solution. The application to deep penetration shielding problems is discussed.

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What this paper is about

The application of a conditional Monte Carlo method for estimating the solution of transport problems is described. Statistical estimators for solving transport problems by the conditional Monte Carlo method are given for both homogeneous and heterogeneous problems. The analog and conditional Monte Carlo solutions of a simple one-speed transport equation are compared with the exact deterministic solution. The application to deep penetration shielding problems is discussed.

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OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The application of a conditional Monte Carlo method for estimating the solution of transport problems is described. Statistical estimators for solving transport problems by the conditional Monte Carlo method are given for both homogeneous and heterogeneous problems. The analog and conditional Monte Carlo solutions of a simple one-speed transport equation are compared with the exact deterministic solution. The application to deep penetration shielding problems is discussed.

Key concepts: Monte Carlo method, Monte Carlo molecular modeling, Dynamic Monte Carlo method, Hybrid Monte Carlo, Monte Carlo method in statistical physics, Monte Carlo integration, Neutron transport, Statistical physics

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