Title: Estimation of temporospatial boundary conditions using a particle swarm optimisation technique

Authors: Imre Felde; Sándor Szénási

Addresses: John von Neumann Faculty of Informatics, Óbuda University, 1034 Budapest, Bécsi út 96/B, Hungary ' CUDA Teaching Center, John von Neumann Faculty of Informatics, Óbuda University, 1034 Budapest, Bécsi út 96/B, Hungary

Abstract: In this paper, we present an inverse solver for the estimation of the temporospatial heat transfer coefficients (HTCs) without using prior information of the thermal boundary conditions. The particle swarm optimisation (PSO) method has been introduced to recover the unknown HTC function obtained during immersion quenching. The HTC obtained on the surfaces of a cylindrical work piece is aimed to estimate by using cooling curves recorded internal thermocouples. The fitness function to be minimised by the PSO approach is defined by the deviation of the measured and the calculated cooling curves. The PSO algorithm has been parallelised and implemented on the graphics processing unit (GPU) architecture. The method is tested and evaluated by using hypothetical HTC function on a 2D axis symmetrical heat transfer model. The proposed approach provide significant acceleration of computation and accurate estimation.

Keywords: IHCP; inverse heat conduction problem; HTC; heat transfer coefficient; PSO; particle swarm optimisation; immersion quenching; graphics processing units; GPUs.

DOI: 10.1504/IJMMP.2016.079155

International Journal of Microstructure and Materials Properties, 2016 Vol.11 No.3/4, pp.288 - 300

Received: 25 Aug 2015
Accepted: 12 Apr 2016

Published online: 14 Sep 2016 *

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