54 citations · 90 across the 17 of their papers we have counts for
20 papers
Conditioning of linear systems arising from penalty methods
William Layton, Shuxian Xu
Penalizing incompressibility in the Stokes problem leads, under mild assumptions, to matrices with condition numbers , pena…
Stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations
William Layton, Shuxian Xu
Inclusion of a term , forcing to be pointwise small, is an effective tool for improving mass conservation in discretizations of incompressibl…
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…
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna
William Layton, Wenlong Pei, Catalin Trenchea
The one-leg, two-step time-stepping scheme proposed by Dahlquist, Liniger and Nevanlinna has clear advantages in complex, stiff numerical simulations: unconditional -stability 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…
A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD
Victor DeCaria, Sigal Gottlieb, Zachary J. Grant +1
In simulations of fluid motion time accuracy has proven to be elusive. We seek highly accurate methods with strong enough stability properties to deal with the richness of scales o…