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pro vyhledávání: '"Siddiqua, Farjana"'
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 flow statistics. Assimilation by nudging (from 1964), while non-optima
Externí odkaz:
http://arxiv.org/abs/2407.18886
In 1991, Ramshaw and Mesina proposed a novel synthesis of penalty methods and artificial compression methods. When the two were balanced they found the combination was 3-4 orders more accurate than either alone. This report begins the study of their
Externí odkaz:
http://arxiv.org/abs/2404.11755
This paper analyzes a $\theta$-method and 3-point time filter. This approach adds one additional line of code to the existing source code of $\theta$-method. We prove the method's $0$-stability, accuracy, and $A$-stability for both constant time step
Externí odkaz:
http://arxiv.org/abs/2310.17771
Autor:
Siddiqua, Farjana, Pei, Wenlong
Turbulent flows strain resources, both memory and CPU speed. The DLN method has greater accuracy and allows larger time steps, requiring less memory and fewer FLOPS. The DLN method can also be implemented adaptively. The classical Smagorinsky model,
Externí odkaz:
http://arxiv.org/abs/2309.01867
Autor:
SIDDIQUA, FARJANA1 fas41@pitt.edu, WENLONG PEI1 pei.176@osu.edu
Publikováno v:
International Journal of Numerical Analysis & Modeling. 2024, Vol. 21 Issue 6, p879-909. 31p.
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 January 2025 433 Part B
Autor:
Siddiqua, Farjana, Xie, Xihui
The classical Smagorinsky model's solution is an approximation to a (resolved) mean velocity. Since it is an eddy viscosity model, it cannot represent a flow of energy from unresolved fluctuations to the (resolved) mean velocity. This model has recen
Externí odkaz:
http://arxiv.org/abs/2201.08914
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The Poisson--Nernst--Planck (PNP) equations have been widely applied to describe ionic transport in ion channels, nanofluidic devices, and many electrochemical systems. Despite their wide applications, the PNP equations fail in predicting dynamics an
Externí odkaz:
http://arxiv.org/abs/1801.00751
Autor:
Siddiqua, Farjana1 (AUTHOR) fas41@pitt.edu, Xie, Xihui1 (AUTHOR)
Publikováno v:
Numerical Methods for Partial Differential Equations. Jan2023, Vol. 39 Issue 1, p356-382. 27p.