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20232026
most citedOn a 1/2-equation model of turbulence

2 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2026

Numerical analysis of data assimilation for slightly compressible flow

Aytekin Çıbık, Rui Fang

Continuous data assimilation improves flow predictions by continually nudging a model toward available observational data. For slightly compressible flow, a recent model addresses…

math.NA2026

Data assimilation for slightly compressible flow

Aytekin Çıbık, Rui Fang

Continuous data assimilation (CDA) nudges observational data into governing equations to recover the underlying flow and improve predictions. Existing rigorous CDA analyses focus p…

math.NA2025

Modular data assimilation for flow prediction

Aytekin Çıbık, Rui Fang, William Layton

This report develops several modular, 2-step realizations (inspired by Kalman filter algorithms) of nudging-based data assimilation $$Step \ 1 \quad \frac{\widetilde {v}^{n+1}-v^{n…

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…

math.NA2023★ 2 cited

On a 1/2-equation model of turbulence

Rui Fang, Weiwei Han, William Layton

In 1-equation URANS models of turbulence the eddy viscosity is given by . The length scale must be pre-specified and is determined by s…