3 papers
physics.flu-dyn2026
Thin gap approximations for microfluidic device design
Lingyun Ding, Terry Wang, Marcus Roper
Over 125 years ago, Henry Selby Hele-Shaw realized that the depth-averaged flow in thin gap geometries can be closely approximated by two-dimensional (2D) potential flow, in a surp…
math.NA2025
Lagrangian Particle Classification and Lagrangian Flux Identities for a Moving Hypersurface
Lingyun Ding, Shuang Hu, Baiyun Huang +1
For a moving hypersurface in the flow of a nonautonomous ordinary differential equation in -dimensional Euclidean spaces, the fluxing index of a passively-advected Lagrangian pa…
math.NA2025
Semi-implicit-explicit Runge-Kutta method for nonlinear differential equations
Lingyun Ding
A semi-implicit-explicit (semi-IMEX) Runge-Kutta (RK) method is proposed for the numerical integration of ordinary differential equations (ODEs) of the form $\mathbf{u}' = \mathbf{…