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Deep learning or interpolation for inverse modelling of heat and fluid flow problems?

Rainald Löhner, Harbir Antil, H.R. Tamaddon-Jahromi, Neeraj Kavan Chakshu, Perumal Nithiarasu

2021International Journal of Numerical Methods for Heat &amp Fluid Flow20 citationsDOIOpen Access PDF

Abstract

Purpose The purpose of this study is to compare interpolation algorithms and deep neural networks for inverse transfer problems with linear and nonlinear behaviour. Design/methodology/approach A series of runs were conducted for a canonical test problem. These were used as databases or “learning sets” for both interpolation algorithms and deep neural networks. A second set of runs was conducted to test the prediction accuracy of both approaches. Findings The results indicate that interpolation algorithms outperform deep neural networks in accuracy for linear heat conduction, while the reverse is true for nonlinear heat conduction problems. For heat convection problems, both methods offer similar levels of accuracy. Originality/value This is the first time such a comparison has been made.

Topics & Concepts

Interpolation (computer graphics)Artificial neural networkLinear interpolationHeat transferComputer scienceNonlinear systemAlgorithmDeep learningThermal conductionApplied mathematicsInverseArtificial intelligenceMathematicsPattern recognition (psychology)MechanicsGeometryThermodynamicsPhysicsMotion (physics)Quantum mechanicsModel Reduction and Neural NetworksHeat Transfer and OptimizationNumerical methods in inverse problems
Deep learning or interpolation for inverse modelling of heat and fluid flow problems? | Litcius