Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Cıbık, Aytekin"'
Autor:
Cibik, Aytekin Bayram
In this thesis, we consider a projection-based stabilization method for solving buoyancy driven flows (natural convection problems). The method consists of adding global stabilization for all scales and then anti-diffusing these effects on the large
Externí odkaz:
http://etd.lib.metu.edu.tr/upload/12613465/index.pdf
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
Autor:
Çibik, Aytekin, Layton, William
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 update in the Uzawa iteration. The result, for the Stokes problem, is \beg
Externí odkaz:
http://arxiv.org/abs/2403.04702
Autor:
Çıbık, Aytekin, Layton, William
Publikováno v:
In Applied Mathematics Letters August 2024 154
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 modular step to the standard backward Euler code leading to a 2-step,
Externí odkaz:
http://arxiv.org/abs/2106.04949
Publikováno v:
In Journal of Computational and Applied Mathematics 15 January 2024 436
Autor:
Akbas, Mine, Cibik, Aytekin
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 Euler time scheme along with a finite element discretization in space. Th
Externí odkaz:
http://arxiv.org/abs/2008.02224
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 October 2023 415
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 significant change in the complexity of the system. Since time filters for
Externí odkaz:
http://arxiv.org/abs/1906.07922