56 citations · 122 across the 10 of their papers we have counts for
15 papers
The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes
Kiera Kean, Michael Neilan, Michael Schneier
This paper analyzes the Scott-Vogelius divergence-free element pair on anisotropic meshes. Weexplore the behavior of the inf-sup stability constant with respect to the aspect ratio…
Clipping over dissipation in turbulence models
Kiera Kean, William Layton, Michael Schneier
Clipping refers to adding 1 line of code A=min{A,B} to force the variable A to stay below a present bound B. Phenomenological clipping also occurs in turbulence models to correct f…
On the Prandtl-Kolmogorov 1-equation model of turbulence
Kiera Kean, William Layton, Michael Schneier
We prove an estimate of total (viscous plus modelled turbulent) energy dissipation in general eddy viscosity models for shear flows. For general eddy viscosity models, we show that…
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
Birgul Koc, Samuele Rubino, Michael Schneier +2
In this paper, we resolve several long standing issues dealing with optimal pointwise in time error bounds for proper orthogonal decomposition (POD) reduced order modeling of the h…
An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations
Victor DeCaria, Michael Schneier
This report presents a series of implicit-explicit (IMEX) variable timestep algorithms for the incompressible Navier-Stokes equations (NSE). With the advent of new computer archite…
Diagnostics for Eddy Viscosity Models of Turbulence Including Data-Driven/Neural Network Based Parameterizations
William Layon, Michael Schneier
Classical eddy viscosity models add a viscosity term with turbulent viscosity coefficient whose specification varies from model to model. Turbulent viscosity coefficient approximat…