3 papers
math.NA2025
Data assimilation with model errors
Aytekin Çibik, Rui Fang, William Layton +1
Nudging is a data assimilation method amenable to both analysis and implementation. It also has the (reported) advantage of being insensitive to model errors compared to other assi…
math.NA2024
Adaptive Parameter Selection in Nudging Based Data Assimilation
Aytekin Çıbık, Rui Fang, William Layton +1
Data assimilation combines (imperfect) knowledge of a flow's physical laws with (noisy, time-lagged, and otherwise imperfect) observations to produce a more accurate prediction of…
math.NA2024
Numerical analysis of a 1/2-equation model of turbulence
Wei-Wei Han, Rui Fang, William Layton
The recent 1/2-equation model of turbulence is a simplification of the standard Kolmogorov-Prandtl 1-equation URANS model. Surprisingly, initial numerical tests indicated that the…