68 citations · 70 across the 4 of their papers we have counts for
6 papers
Fourier-Informed Knot Placement Schemes for B-Spline Approximation
David Lenz, Oana Marin, Vijay Mahadevan +2
Fitting B-splines to discrete data is especially challenging when the given data contain noise, jumps, or corners. Here, we describe how periodic data sets with these features can…
Direct Numerical Simulation of Fluid Flow in a 5x5 Square Rod Bundle Using Nek5000
Adam Kraus, Elia Merzari, Thomas Norddine +2
Rod bundle flows are commonplace in nuclear engineering, and are present in light water reactors (LWRs) as well as other more advanced concepts. Inhomogeneities in the bundle cross…
Towards Direct Numerical Simulation of a 5x5 Rod Bundle
Adam Kraus, Elia Merzari, Thomas Norddine +2
Rod bundle flows are prevalent in nuclear engineering for both light water reactors (LWR) and advanced reactor concepts. Unlike canonical channel flow, the flow in rod bundles pres…
Computing Derivatives for PETSc Adjoint Solvers using Algorithmic Differentiation
J. G. Wallwork, P. Hovland, H. Zhang +1
Most nonlinear partial differential equation (PDE) solvers require the Jacobian matrix associated to the differential operator. In PETSc, this is typically achieved by either an an…
A scalable matrix-free spectral element approach for unsteady PDE constrained optimization using PETSc/TAO
Oana Marin, Emil Constantinescu, Barry Smith
We provide a new approach for the efficient matrix-free application of the transpose of the Jacobian for the spectral element method for the adjoint based solution of partial diffe…
On the Strong Scaling of the Spectral Element Solver Nek5000 on Petascale Systems
Nicolas Offermans, Oana Marin, Michel Schanen +7
The present work is targeted at performing a strong scaling study of the high-order spectral element fluid dynamics solver Nek5000. Prior studies indicated a recommendable metric f…