3 papers
cs.CE2026
Enhancing neural network extrapolation in thermo-fluid systems using steady-state solutions
Sanjeeb Poudel, Teeratorn Kadeethum, Sanghyun Lee
Time-dependent partial differential equations (PDEs) arise in many engineering systems, including thermo-fluid applications. Classical numerical simulations of such systems can bec…
cs.CE2025
Pressure-robust enriched Galerkin finite element methods for coupled Navier-Stokes and heat equations
Sanjeeb Poudel, Sanghyun Lee, Lin Mu
We propose a pressure-robust enriched Galerkin (EG) finite element method for the incompressible Navier-Stokes and heat equations in the Boussinesq regime. For the Navier-Stokes eq…
math.NA2025
Ensemble Score Filter for Data Assimilation of Two-Phase Flow Models in Porous Media
Ruoyu Hu, Sanjeeb Poudel, Feng Bao +1
Numerical modeling and simulation of two-phase flow in porous media is challenging due to the uncertainties in key parameters, such as permeability. To address these challenges, we…