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Solution of radiative intensity with high directional resolution in heterogeneous participating media and irregular geometries by the null-collision reverse Monte Carlo method

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Abstract Radiative intensity with high directional resolution is very useful for many inverse analyses. In this work, the null-collision algorithm is combined with the reverse Monte Carlo method to calculate… Click to show full abstract

Abstract Radiative intensity with high directional resolution is very useful for many inverse analyses. In this work, the null-collision algorithm is combined with the reverse Monte Carlo method to calculate radiative intensity with high directional resolution in heterogeneous participating media and irregular geometries. A convergence criterion by monitoring the standard deviation of Monte Carlo weights is proposed to determine the required number of energy bundles and to estimate the accuracy of the Null-Collision Reverse Monte Carlo (NC-RMC) method. Then, directional radiative intensity in heterogeneous participating media of three-dimensional cubic and irregular geometries is calculated. Results show that the accuracy of the NC-RMC method is well predicted by the proposed convergence criterion and very good accuracy is achieved by setting strict convergence condition. Meanwhile, with the same obtained accuracy, the NC-RMC method has better computing efficiency than the standard reverse Monte Carlo method. For the radiative system with heterogeneous participating medium and irregular geometry, the NC-RMC method shows a distinct advantage in ease of programming and program portability. Results in this work show that the NC-RMC method is a good choice to solve radiative intensity in heterogeneous media and/or radiative systems with irregular geometries, which is very useful for inverse analysis in combustion systems.

Keywords: monte carlo; radiative intensity; method

Journal Title: International Journal of Heat and Mass Transfer
Year Published: 2020

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