Generalized method of sensitivity analysis for uncertainty quantification in Calphad calculations

被引:2
作者
Ury, Nicholas [1 ]
Otis, Richard [1 ]
Ravi, Vilupanur [1 ]
机构
[1] Calif State Polytech Univ Pomona, Pomona 3801 W Temple Ave, Pomona, CA 91768 USA
来源
CALPHAD-COMPUTER COUPLING OF PHASE DIAGRAMS AND THERMOCHEMISTRY | 2022年 / 79卷
关键词
CALPHAD; Uncertainty propagation; Bayesian statistics; Mg-Si; Model assessments; MG-SI; SYSTEMS;
D O I
10.1016/j.calphad.2022.102504
中图分类号
O414.1 [热力学];
学科分类号
摘要
Calculation of Phase Diagrams (Calphad) is a method of using thermodynamic models obtained from experi-mental data to perform thermodynamic calculations. The next step to advancing this methodology is to account for the inconsistency or lack of data when assessing thermodynamic systems. A generalized method of propa-gating uncertainty through Calphad calculations by local expansion is proposed such that any type of Gibbs free energy model or number of components can be used. This method is faster than Monte Carlo approaches as only a single equilibrium calculation is needed for uncertainty propagation and also improves upon previous ap-proaches to uncertainty propagation by its generalization to any thermodynamic system. As a case study, the Mg-Si system was assessed using a Bayesian approach and various thermodynamic calculations were performed comparing uncertainty quantification by Monte Carlo and the method in this work. Sensitivities (derivatives with respect to model parameters) were calculated on the Fe-Cr-Ni system and compared with sensitivities deter-mined by finite different method.
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页数:11
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