3 papers
physics.flu-dyn2026
Neural ensemble Kalman filter: Data assimilation for compressible flows with shocks
Xu-Hui Zhou, Lorenzo Beronilla, Michael K. Sleeman +4
Data assimilation (DA) for compressible flows with shocks is challenging because many classical DA methods generate spurious oscillations and nonphysical features near uncertain sh…
math.NA2026
Greedy recursion parameter selection for one-way spatial integration of hyperbolic equations
Michael K. Sleeman, Tim Colonius
Solutions to hyperbolic systems comprise waves propagating at finite speeds. When wave propagation is predominantly unidirectional, one-way wave equations can be used to evolve onl…
physics.flu-dyn2025
Boundary layer stability analysis using the nonlinear One-Way Navier-Stokes approach
Michael K. Sleeman, Matthew T. Lakebrink, Tim Colonius
We extend the One-Way Navier Stokes (OWNS) approach to support nonlinear interactions between waves of different frequencies, which will enable nonlinear analysis of instability an…