4 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…