Comparison of Monte Carlo Methods Efficiency to Solve Radiative Energy Transfer in High Fidelity Unsteady 3D Simulations

Lorella Palluotto, Nicolas Dumont, Pedro Rodrigues, Chai Koren, Ronan Vicquelin, Olivier Gicquel
2017 Volume 5A: Heat Transfer   unpublished
The present work assesses different Monte Carlo methods in radiative heat transfer problems, in terms of accuracy and computational cost. Achieving a high scalability on numerous CPUs with the conventional forward Monte Carlo method is not straightforward. The Emission-based Reciprocity Monte Carlo Method (ERM) allows to treat each mesh point independently from the others with a local monitoring of the statistical error, becoming a perfect candidate for high-scalability. ERM is however
more » ... by a slow statistical convergence in cold absorbing regions. This limitation has been overcome by an Optimized ERM (OERM) using a frequency distribution function based on the emission distribution at the maximum temperature of the system. Another approach to enhance the convergence is the use of low-discrepancy sampling. The obtained Quasi-Monte Carlo method is combined with OERM. The efficiency of the considered Monte-Carlo methods are compared. NOMENCLATURE DNS Direct Numerical Simulation FM Forward Method I Radiative intensity [W sr −1 m −2 ]
doi:10.1115/gt2017-64179 fatcat:4xiixpfxtffxbcvmm62tuk35qq