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A PHOTON MONTE CARLO SOLVER UTILIZING A LOW DISCREPANCY SEQUENCE FOR THERMAL RADIATION IN COMBUSTION SYSTEMS

DOI: 10.1615/RAD-19.10
pages 1-8

Joseph A. Farmer
Department of Mechanical Engineering, Marquette University, Milwaukee, WI, USA

Somesh P. Roy
Department of Mechanical Engineering, Marquette University, Milwaukee, WI, USA.

Abstract

Monte Carlo-based radiation solvers can provide an accurate solution to thermal radiation transfer in nongray participating media. Unfortunately, the computational cost of Monte Carlo solvers is an impediment to their use in large-scale simulations. A deterministic sampling-based quasi-Monte Carlo (QMC) method is proposed in this work as an efficient alternative to conventional Monte Carlo solvers. This QMC uses a low discrepancy sequence instead of random sampling required in Monte Carlo-based approaches. The implementation is validated in one-dimensional configurations and is further tested in three-dimensional nonhomogeneous configurations. QMC shows generally better error convergence rates. In three-dimensional cases QMC produces a similar level of error compared to a conventional Monte Carlo solver without having to run multiple statistical instances. This leads to significant computational cost benefits from QMC as seen in the Figure of Merit comparison between QMC and conventional Monte Carlo.

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