A New Approach for Uncertainty Analysis of the Numerical Data Using Genetic Algorithm Based on Grid Refinement

Document Type : Research Article

Authors

1 Science andResearch Branch, Azad University

2 MAlek Ashtar University

3 Department of MEchanical and Aerospace Eng., Schience and Research Branch, Azad University

Abstract

A new approach using the genetic algorithms has been presented to estimate the uncertainties in numerical pressure calculation on a 3D wing. The amount of error in this method has been estimated in the form of power series as a function of the element size. The error tensor is expressed as the sum of squares and has been used as the fitness function in the genetic algorithm. The conventional method for error minimization has been differentiation which is replaced by the genetic algorithm in this paper. The error analysis along with a safety factor has been introduced as the uncertainties in numerical calculations. According to the results, refining the grids down to 25% of the initial size, reduced the error by an amount of 50%. The total uncertainty calculated in this paper was 0.03. This value determines a confidence level of 97.6%. The reliability of the results on three baselines higher than 97% approves the high accuracy of the present calculations. The highest and the lowest reliability in the present calculations was 99.16% and 97.6%, respectively

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References

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Amirkabir Journal of Mechanical Engineering
Volume 51, Issue 6
January and February 2020
Pages 1381-1394

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