31 citations · 53 across the 4 of their papers we have counts for
5 papers · 1 filter
On URANS Congruity with Time Averaging: Analytical laws suggest improved models
William Layton, Michael McLaughlin
The standard equation model \ of turbulence was first derived by Prandtl and has evolved to be a common method for practical flow simulations. Five fundamental laws that any UR…
Doubly-Adaptive Artificial Compression Methods for Incompressible Flow
William Layton, Michael McLaughlin
This report presents adaptive artificial compression methods in which the time-step and artificial compression parameter are independently adapted. The resulting alg…
An Artificial Compression Reduced Order Model
Victor DeCaria, Traian Iliescu, William Layton +2
We propose a novel artificial compression, reduced order model (AC-ROM) for the numerical simulation of viscous incompressible fluid flows. The new AC-ROM provides approximations n…
Analysis of variable-step/non-autonomous artificial compression methods
Robin Ming Chen, William Layton, Michael McLaughlin
A standard artificial compression (AC) method for incompressible flow is $$ \frac{u_{n+1}^{\varepsilon }-u_{n}^{\varepsilon }}{k}+u_{n+1}^{\varepsilon }\cdot \nabla u_{n+1}^{\varep…
An Artificial Compressibility Ensemble Timestepping Algorithm for Flow Problems
Joseph A. Fiordilino, Michael McLaughlin
Ensemble calculations are essential for systems with uncertain data but require substantial increase in computational resources. This increase severely limits ensemble size. To rea…