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20212026
most citedPhase-field simulations for dripping-to-jetting transitions: Effects of low interfacial tension and bulk diffusion

4 citations · 6 across the 6 of their papers we have counts for

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6 papers

math.NA2026

A new class of efficient linear higher-order schemes for the Landau-Lifshitz-Gilbert equation with reduced restriction on the damping parameter

Fukeng Huang, Binghong Li, Xiaoli Li +1

Classical high-order backward differentiation formula (BDF) methods for the Landau-Lifshitz-Gilbert (LLG) equation often suffer from restrictive stability constraints, requiring sm…

math.NA2026

High-order, long-time stable and parallel decoupled GBDF SAV ensemble schemes for the Navier--Stokes--Darcy flow with random hydraulic conductivity tensors

Wei-Wei Han, Fukeng Huang, Changxin Qiu

We develop and analyze high-order ensemble schemes for the unsteady Navier--Stokes--Darcy system with uncertain initial conditions, forcing terms, hydraulic conductivity tensors, a…

math.NA2025

Stability and error analysis of a new class of higher-order consistent splitting schemes for the Navier-Stokes equations

Fukeng Huang, Jie Shen

A new class of fully decoupled consistent splitting schemes for the Navier-Stokes equations are constructed and analyzed in this paper. The schemes are based on the Taylor expansio…

math.NA2024

On a new class of BDF and IMEX schemes for parabolic type equations

Fukeng Huang, Jie Shen

When applying the classical multistep schemes for solving differential equations, one often faces the dilemma that smaller time steps are needed with higher-order schemes, making i…

physics.flu-dyn20234 cited

Phase-field simulations for dripping-to-jetting transitions: Effects of low interfacial tension and bulk diffusion

Fukeng Huang, Weizhu Bao, Tiezheng Qian

The dripping-to-jetting transitions in coaxial flows have been experimentally well studied for systems of high interfacial tension, where the capillary number of the outer fluid an…

math.NA20212 cited

Stability and error analysis of a class of high-order IMEX schemes for Navier-stokes equations with periodic boundary conditions

Fukeng Huang, Jie Shen

We construct high-order semi-discrete-in-time and fully discrete (with Fourier-Galerkin in space) schemes for the incompressible Navier-Stokes equations with periodic boundary cond…