User profiles for Duygu Vargun

Duygu Vargun

Oak Ridge National Laboratory
Verified email at ornl.gov
Cited by 57

Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations

M Gardner, A Larios, LG Rebholz, D Vargun… - arXiv preprint arXiv …, 2020 - arxiv.org
We study a continuous data assimilation (CDA) algorithm for a velocity-vorticity formulation
of the 2D Navier-Stokes equations in two cases: nudging applied to the velocity and vorticity, …

Accelerating and enabling convergence of nonlinear solvers for Navier–Stokes equations by continuous data assimilation

X Li, EV Hawkins, LG Rebholz, D Vargun - Computer Methods in Applied …, 2023 - Elsevier
This paper considers improving the Picard and Newton iterative solvers for the Navier–Stokes
equations in the setting where data measurements or solution observations are available. …

Enabling convergence of the iterated penalty Picard iteration with O (1) penalty parameter for incompressible Navier–Stokes via Anderson acceleration

LG Rebholz, D Vargun, M Xiao - Computer Methods in Applied Mechanics …, 2021 - Elsevier
This paper considers an enhancement of the classical iterated penalty Picard (IPP) method
for the incompressible Navier–Stokes equations, where we restrict our attention to O ( 1 ) …

Improved convergence of the Arrow–Hurwicz iteration for the Navier–Stokes equation via grad–div stabilization and Anderson acceleration

PG Geredeli, LG Rebholz, D Vargun… - Journal of Computational …, 2023 - Elsevier
We consider two modifications of the Arrow–Hurwicz (AH) iteration for solving the incompressible
steady Navier–Stokes equations for the purpose of accelerating the algorithm: grad–…

Anderson acceleration for a regularized Bingham model

S Pollock, LG Rebholz, D Vargun - Numerical Methods for …, 2023 - Wiley Online Library
This article studies a finite element discretization of the regularized Bingham equations that
describe viscoplastic flow. An efficient nonlinear solver for the discrete model is then …

Anderson acceleration of a Picard solver for the Oldroyd-B model of viscoelastic fluids

D Vargun, IO Monteiro, LG Rebholz - arXiv preprint arXiv:2502.00533, 2025 - arxiv.org
We study an iterative nonlinear solver for the Oldroyd-B system describing incompressible
viscoelastic fluid flow. We establish a range of attributes of the fixed-point-based solver, …

Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation

E Hawkins, LG Rebholz, D Vargun - arXiv preprint arXiv:2302.05962, 2023 - arxiv.org
We study continuous data assimilation (CDA) applied to projection and penalty methods for
the Navier-Stokes (NS) equations. Penalty and projection methods are more efficient than …

Acceleration Methods for Nonlinear Solvers and Application to Fluid Flow Simulations

D Vargun - 2023 - search.proquest.com
This thesis studies nonlinear iterative solvers for the simulation of Newtonian and non-Newtonian
fluid models with two different approaches: Anderson acceleration (AA), an …

Accelerating and enabling convergence of nonlinear solvers for Navier-Stokes equations by continuous data assimilation

D Vargun, X Li, E Hawkins, L Rebholz - 2024 Fall Southeastern Sectional Meeting … - ornl.gov
This talk considers improving the Picard and Newton iterative solvers for the Navier-Stokes
equations in the setting where data measurements or solution observations are available. …

Initialization of a runaway electron beam in a kinetic-MHD equilibrium state

O Lopez, D Vargun, M Beidler, C Hauck - Bulletin of the American Physical …, 2024 - APS
Duygu Vargun