"An Efficient Monte Carlo-Based Solver for Thermal Radiation in Partici" by Joseph Farmer and Somesh Roy
 

Document Type

Article

Language

eng

Publication Date

2019

Publisher

Begell House

Source Publication

4th Thermal and Fluids Engineering Conference

Source ISSN

2379-1748

Abstract

Monte Carlo-based solvers, while well-suited for accurate calculation of complex thermal radiation transport problems in participating media, are often deemed computationally unattractive for use in the solution of real-world problems. The main disadvantage of Monte Carlo (MC) solvers is their slow convergence rate and relatively high computational cost. This work presents a novel approach based on a low-discrepancy sequence (LDS) and is proposed for reducing the error bound of a Monte Carlo-based radiation solver. Sobols sequence – an LDS generated with a bit-by-bit exclusive-or operator – is used to develop a quasi-Monte Carlo (QMC) solver for thermal radiation in this work. Preliminary results for simple radiation problems in participating media show that the QMC-based solver has a lower error than the conventional MC-based solver. At the same time, QMC does not add any significant computational overhead. This essentially leads to a lower computational cost to achieve similar error levels from the QMC-based solver than the MC-based solver for thermal radiation.

Comments

Accepted version. 4th Thermal and Fluids Engineering Conference (April 14-17, 2019): 1565-1573. DOI. © 2019 Begell House, Inc. Used with permission.

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