4 papers · 1 filter
Continuous data assimilation in steady Navier-Stokes equations with unknown viscosity: robust and efficient solvers and fast parameter recovery
L. Rebholz, J. Reyes, J. Whitehead
Recent advances in equation discovery methods such as SINDy have highlighted the growing interest in identifying governing parameters and models directly from data. In this work, w…
Longer time accuracy for the Ladyzhenskya model with the EMAC formulation
Rihui Lan, Jorge Reyes
In this paper, we incorporate the EMAC formulation into the Ladyzhenskaya model (LM), a large eddy simulation (LES) of incompressible flows. The EMAC formulation, which conserves e…
Numerical Analysis of a Bio-Polymerization Model
Ali Balooch, Faranak Courtney-Pahlevani, Lisa Davis +3
This work studies a stabilization technique for first-order hyperbolic differential equations used in DNA transcription modeling. Specifically we use the Lighthill-Whitham-Richards…
A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model
Jorge Reyes, Ping-Hsuan Tsai, Julia Novo +1
The a priori error analysis of reduced order models (ROMs) for fluids is relatively scarce. In this paper, we take a step in this direction and conduct numerical analysis of the re…