3 papers
math.NA2024
Penalty Ensembles for Navier-Stokes with Random Initial Conditions and Forcing
Rui Fang
In many applications, uncertainty in problem data leads to the need for numerous computationally expensive simulations. This report addresses this challenge by developing a penalty…
math.NA2024
Numerical Analysis of Penalty-based Ensemble Methods
Rui Fang
The chaotic nature of fluid flow and the uncertainties in initial conditions limit predictability. Small errors that occur in the initial condition can grow exponentially until the…
math.NA2024
Numerical Analysis of Locally Adaptive Penalty Methods For The Navier-Stokes Equations
Rui Fang
Penalty methods relax the incompressibility condition and uncouple velocity and pressure. Experience with them indicates that the velocity error is sensitive to the choice of penal…