5 citations · 6 across the 10 of their papers we have counts for
10 papers
Numerical Analysis of a Coupled 3D-1D Transport Problem
Alyssa Taylor-LaPole, Uzochi Gideon, Beatrice Riviere +1
A finite element solution coupled with an interior penalty discontinuous Galerkin solution are defined for the approximation of the coupled 3D-1D solute transport problem. Under su…
An efficient splitting iteration for a CDA-accelerated solver for incompressible flow problems
Victoria L. Fisher, Leo G. Rebholz, Duygu Vargun
We propose, analyze, and test an efficient splitting iteration for solving the incompressible, steady Navier-Stokes equations in the setting where partial solution data is known. T…
Orbit-averaging and deposition accuracy for runaway electron beams in hybrid kinetic-MHD simulations of the runaway plateau
O. E. López, D. Vargun, C. D. Hauck +1
We develop a new procedure that combines the Kinetic Orbit Runaway electrons Code (KORC) and the NIMROD extended-MHD code to simulate runaway electrons (REs) in the post-disruption…
Anderson acceleration of a Picard solver for the Oldroyd-B model of viscoelastic fluids
Duygu Vargun, Igor O. Monteiro, Leo G. Rebholz
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 solve…
Accelerating and enabling convergence of nonlinear solvers for Navier-Stokes equations by continuous data assimilation
Xuejian Li, Elizabeth V. Hawkins, Leo G. Rebholz +1
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…
Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation
Elizabeth Hawkins, Leo G. Rebholz, Duygu Vargun
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 c…
Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration
Pelin G. Geredeli, Leo G. Rebholz, Duygu Vargun +1
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
Sara Pollock, Leo G. Rebholz, Duygu Vargun
This paper studies a finite element discretization of the regularized Bingham equations that describe viscoplastic flow. An efficient nonlinear solver for the discrete model is the…
Enabling fast convergence of the iterated penalty Picard iteration with penalty parameter for incompressible Navier-Stokes via Anderson acceleration
Leo G. Rebholz, Duygu Vargun, Mengying Xiao
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 …
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations
Matthew Gardner, Adam Larios, Leo G. Rebholz +2
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 vor…