56 citations · 110 across the 4 of their papers we have counts for
4 papers
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…
Continuous Data Assimilation Reduced Order Models of Fluid Flow
Camille Zerfas, Leo G. Rebholz, Michael Schneier +1
We propose, analyze, and test a novel continuous data assimilation reduced order model (DA-ROM) for simulating incompressible flows. While ROMs have a long history of success on ce…
Simple and efficient continuous data assimilation of evolution equations via algebraic nudging
Leo G. Rebholz, Camille Zerfas
We introduce, analyze and test a new interpolation operator for use with continuous data assimilation (DA) of evolution equations that are discretized spatially with the finite ele…
Global in time stability and accuracy of IMEX-FEM data assimilation schemes for the Navier-Stokes equations
Adam Larios, Leo G. Rebholz, Camille Zerfas
We study numerical schemes for incompressible Navier-Stokes equations using IMEX temporal discretizations, finite element spacial discretizations, and equipped with continuous data…