Multifidelity Physics with Co-Kriging
Ranjan Ganguli · 2025
Kriging and co-kriging surrogate models are used to develop multifidelity physics-based models in this chapter. Timoshenko beam theory is used as the high-fidelity model and Euler-Bernoulli beam theory is used as the low fidelity model. Kriging and co-kriging are first explained using analytical functions. Co-kriging surrogates are developed for the multifidelity model for natural frequencies of tapered and uniform beams using finite element modeling. The co-kriging surrogate multifidelity model is found to be of comparable accuracy to the high-fidelity Timoshenko beam model, at a fraction of the computer time. The veracity of the multifidelity model is shown through the Kullback-Leibler divergence measure by comparing the probability distribution with the high-fidelity model following uncertainty quantification through Monte Carlo simulation. The co-kriging model is found to be highly accurate as well as computationally efficient when compared to the high-fidelity Timoshenko finite element model.