3 papers
physics.flu-dyn2026
Pressure reconstruction from error-embedded gradient measurements: a Gaussian-process generalization of Green's function integration
Zejian You, Mohamed Amine Abassi, Xiaofeng Liu +1
Reconstructing scalar fields from error-embedded gradient measurements is a fundamental linear inverse problem with broad applications in computational physics. Conventional approa…
physics.flu-dyn2026
Localization of sources in weakly nonlinear fluid systems using linear and quadratic sensitivity analysis
Qi Wang, Zejian You
We develop a framework for localized source detection in dynamical systems governed by nonlinear partial differential equations based on first and second-order sensitivity analysis…
physics.flu-dyn2026
Preconditioned Adjoint Data Assimilation for Two-Dimensional Decaying and Forced Turbulence
Hongyi Ke, Zejian You, Qi Wang
Adjoint-based data assimilation for turbulent Navier-Stokes flows is limited by backward adjoint growth and increasing dominance of small-scale structures, which degrade reconstruc…