William Layton

activity

20212024

most citedOn a 1/2-equation model of turbulence

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NA2024

Adaptive Parameter Selection in Nudging Based Data Assimilation

Aytekin Çıbık, Rui Fang, William Layton +1

Data assimilation combines (imperfect) knowledge of a flow's physical laws with (noisy, time-lagged, and otherwise imperfect) observations to produce a more accurate prediction of…

math.NA2023★ 2 cited

On a 1/2-equation model of turbulence

Rui Fang, Weiwei Han, William Layton

In 1-equation URANS models of turbulence the eddy viscosity is given by $ν_{T} = 0.55 l (x, t) k (x, t)$ . The length scale $l$ must be pre-specified and $k (x, t)$ is determined by s…

math.NA2021

Stability in 3d of a sparse grad-div approximation of the Navier-Stokes equations

William Layton, Shuxian Xu

Inclusion of a term $- γ \nabla\nabla \cdot u$ , forcing $\nabla \cdot u$ to be pointwise small, is an effective tool for improving mass conservation in discretizations of incompressibl…