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math.NA2022
Numerical Analysis of a Corrected Smagorinsky Model
Farjana Siddiqua, Xihui Xie
The classical Smagorinsky model's solution is an approximation to a (resolved) mean velocity. Since it is an eddy viscosity model, it cannot represent a flow of energy from unresol…
math.NA2022★ 1 cited
A Doubly Adaptive Penalty Method for the Navier Stokes Equations
Kiera Kean, Xihui Xie, Shuxian Xu
We develop, analyze and test adaptive penalty parameter methods. We prove unconditional stability for velocity when adapting the penalty parameter, and stability of the veloci…
math.NA2021★ 1 cited
On Adaptive Grad-Div Parameter Selection
Xihui Xie
We propose, analyze and test a new adaptive penalty scheme that picks the penalty parameter element by element small where is large. We start by analyzing and…