Modeling uncertainties in molecular dynamics simulations using a stochastic reduced-order basis
Publication
, Journal Article
Wang, H; Guilleminot, J; Soize, C
Published in: Computer Methods in Applied Mechanics and Engineering
September 1, 2019
A methodology enabling the robust treatment of model-form uncertainties in molecular dynamics simulations is proposed. The approach consists in properly randomizing a reduced-order basis, obtained by the method of snapshots in the configuration space. A multi-step strategy to identify the hyperparameters in the stochastic reduced-order basis is further introduced. The relevance of the framework is finally demonstrated by characterizing various types of modeling errors associated with molecular dynamics simulations on a graphene sheet. In particular, the ability of the framework to represent uncertainties raised by model reduction and interatomic potential selection is assessed.
Duke Scholars
Altmetric Attention Stats
Dimensions Citation Stats
Published In
Computer Methods in Applied Mechanics and Engineering
DOI
ISSN
0045-7825
Publication Date
September 1, 2019
Volume
354
Start / End Page
37 / 55
Related Subject Headings
- Applied Mathematics
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Wang, H., Guilleminot, J., & Soize, C. (2019). Modeling uncertainties in molecular dynamics simulations using a stochastic reduced-order basis. Computer Methods in Applied Mechanics and Engineering, 354, 37–55. https://doi.org/10.1016/j.cma.2019.05.020
Wang, H., J. Guilleminot, and C. Soize. “Modeling uncertainties in molecular dynamics simulations using a stochastic reduced-order basis.” Computer Methods in Applied Mechanics and Engineering 354 (September 1, 2019): 37–55. https://doi.org/10.1016/j.cma.2019.05.020.
Wang H, Guilleminot J, Soize C. Modeling uncertainties in molecular dynamics simulations using a stochastic reduced-order basis. Computer Methods in Applied Mechanics and Engineering. 2019 Sep 1;354:37–55.
Wang, H., et al. “Modeling uncertainties in molecular dynamics simulations using a stochastic reduced-order basis.” Computer Methods in Applied Mechanics and Engineering, vol. 354, Sept. 2019, pp. 37–55. Scopus, doi:10.1016/j.cma.2019.05.020.
Wang H, Guilleminot J, Soize C. Modeling uncertainties in molecular dynamics simulations using a stochastic reduced-order basis. Computer Methods in Applied Mechanics and Engineering. 2019 Sep 1;354:37–55.
Published In
Computer Methods in Applied Mechanics and Engineering
DOI
ISSN
0045-7825
Publication Date
September 1, 2019
Volume
354
Start / End Page
37 / 55
Related Subject Headings
- Applied Mathematics
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 01 Mathematical Sciences