Adaptive Kriging Method for Uncertainty Quantification of the Photoelectron Sheath and Dust Levitation on the Lunar Surface

Author:

Wei Xinpeng1,Zhao Jianxun1,He Xiaoming2,Hu Zhen3,Du Xiaoping4,Han Daoru1

Affiliation:

1. Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, 400 West 13th Street, Rolla, MO 65409

2. Department of Mathematics and Statistics, Missouri University of Science and Technology, 400 West 12th Street, Rolla, MO 65409

3. Department of Industrial and Manufacturing Systems Engineering, University of Michigan-Dearborn, 2250 HPEC, Dearborn, MI 48128

4. Department of Mechanical and Energy Engineering, Indiana University-Purdue University Indianapolis, 723 West Michigan Street, Indianapolis, IN 46202

Abstract

Abstract This paper presents an adaptive Kriging based method to perform uncertainty quantification (UQ) of the photoelectron sheath and dust levitation on the lunar surface. The objective of this study is to identify the upper and lower bounds of the electric potential and that of dust levitation height, given the intervals of model parameters in the one-dimensional (1D) photoelectron sheath model. To improve the calculation efficiency, we employ the widely used adaptive Kriging method (AKM). A task-oriented learning function and a stopping criterion are developed to train the Kriging model and customize the AKM. Experiment analysis shows that the proposed AKM is both accurate and efficient.

Funder

National Aeronautics and Space Administration

National Science Foundation

Publisher

ASME International

Subject

Computational Theory and Mathematics,Computer Science Applications,Modelling and Simulation,Statistics and Probability

Reference39 articles.

1. Aleatory or Epistemic? Does It Matter?;Struct. Safety,2009

2. Photoelectron Sheath Near the Lunar Surface: Fully Kinetic Modeling and Uncertainty Quantification Analysis,2020

3. Levitation and Dynamics of Charged Dust in the Photoelectron Sheath Above Surfaces in Space;J. Geophys. Res.: Space Phys.,1998

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