136 citations · 549 across the 44 of their papers we have counts for
4 papers · 1 filter
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…
Acceleration of nonlinear solvers for natural convection problems
Sara Pollock, Leo G. Rebholz, Mengying Xiao
This paper develops an efficient and robust solution technique for the steady Boussinesq model of non-isothermal flow using Anderson acceleration applied to a Picard iteration. Aft…
Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation
Maxim A. Olshanskii, Leo G. Rebholz
In this paper, we consider the recently introduced EMAC formulation for the incompressible Navier-Stokes (NS) equations, which is the only known NS formulation that conserves energ…
Modular grad-div stabilization for the incompressible non-isothermal fluid flows
Mine Akbas, Leo G. Rebholz
This paper considers a modular grad-div stabilization method for approximating solutions of the time-dependent Boussinesq model of non-isothermal flows. The proposed method adds a…