3 papers
math.NA2026
An unfitted boundary algebraic equation method with Calderón preconditioning for 2D Stokes flow in irregular geometry
Wenjun Ying, Qing Xia
We present an unfitted boundary algebraic equation method for the two-dimensional exterior/interior Stokes equations on a staggered MAC grid. By constructing an explicit free-space…
math.NA2026
ADI schemes for heat equations with irregular boundaries and interfaces in 3D with applications
Han Zhou, Minsheng Huang, Wenjun Ying
In this paper, efficient alternating direction implicit (ADI) schemes are proposed to solve three-dimensional heat equations with irregular boundaries and interfaces. Starting from…
physics.flu-dyn2025
A low-dissipation reconstruction scheme for compressible single- and multi-phase flows based on artificial neural networks
Minsheng Huang, Lidong Cheng, Wenjun Ying +2
Solving compressible flows containing both smooth and discontinuous flow structures remains a significant challenge for finite volume methods. Godunov-type finite volume methods ar…