A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems

DOI10.1016/j.jcp.2017.04.057zbMath1380.76093OpenAlexW2611636794MaRDI QIDQ1693902

George Em. Karniadakis, Themistoklis P. Sapsis, Hessam Babaee, Min-Seok Choi

Publication date: 1 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.04.057

zbMATH Keywords

biorthogonalitystochastic Navier-Stokes equationsreduced order modelinguncertainty quantificationdynamical orthogonality

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Theoretical approximation in context of PDEs (35A35) PDEs with randomness, stochastic partial differential equations (35R60) Statistical solutions of Navier-Stokes and related equations (76D06)

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Uses Software

• MCTDH

Cites Work

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