2 citations · 4 across the 11 of their papers we have counts for
12 papers
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…
An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations
Aytekin Çibik
We study a physics-informed neural network (PINN) for the unsteady, two-dimensional incompressible Navier--Stokes equations in which the stiff divergence-free constraint is replace…
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…
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…
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…
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…
The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes Equations
Aytekin Çibik, Farjana Siddiqua, William Layton
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 m…
Convergence of a Ramshaw-Mesina Iteration
Aytekin Çibik, William Layton
In 1991 Ramshaw and Mesina introduced a clever synthesis of penalty methods and artificial compression methods. Its form makes it an interesting option to replace the pressure upda…
On the Analysis of the Second Order Time Filtered Backward Euler Method for the EMAC formulation of Navier-Stokes Equations
Medine Demir, Aytekin Çıbık, Songül Kaya
This paper considers the backward Euler based linear time filtering method for the EMAC formulation of the incompressible Navier-Stokes equations. The time filtering is added as a…
Continuous Data Assimilation for the Double-Diffusive Natural Convection
Mine Akbas, Aytekin Cibik
In this study, we analyzed a continuous data assimilation scheme applied on a double-diffusive natural convection model. The algorithm is introduced with a first order backward Eul…
Numerical analysis of an efficient second order time filtered backward Euler method for MHD equations
Aytekin Cibik, Fatma G. Eroglu, Songul Kaya
The present work is devoted to introduce the backward Euler based modular time filter method for MHD flow. The proposed method improves the accuracy of the solution without a signi…
Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows
Aytekin Çıbık, Fatma G. Eroglu, Songul Kaya
This paper investigates the long time stability behavior of multiphysics flow problems, namely the Navier-Stokes equations, natural convection and double-diffusive convection equat…