Author

Ernesto Castillo

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Preprint Sep 2026

Stress-divergence, Laplacian, and rotational forms of the incompressible Navier--Stokes equations with variable viscosity

In the Navier--Stokes equations, incompressibility allows rewriting the viscous term in various forms leading to distinct numerical properties and flow descriptions. Furthermore, models accounting for non-Newtonian, thermal or turbulent effects often break the constant-viscosity assumption, thereby producing additional...

Benjamín Cisternas, Douglas R. Q. Pacheco, F. Galarce et al. · 0 citations

Preprint Sep 2026

Dynamic Reduced-Order Data Assimilation from Sparse Velocity Measurements

We present a novel reduced-order data assimilation framework, termed Reduced-Order Dynamical Assimilation (RODAS), for reconstructing high-resolution, time-resolved flow fields from sparse velocity measurements. The method combines low-dimensional experimental observations with a physics-based parametric reduced-order...

Mauricio Portilla, F. Galarce, Ernesto Castillo et al. · 0 citations