3 papers
math-ph2026
Wave-Particle Decomposition for Kinetic Equations I: Theory and Numerics
Chang Liu, Kun Xu
This paper presents a wave-particle decomposition (WPD) for kinetic relaxation equations, formulated around a local evolution timescale and its associated kinetic horizon. By lever…
math.NA2026
Finite Difference Implementation of a High-order Space-Time Coupled Compact Gas-Kinetic Scheme
Fengxiang Zhao, Yibing Chen, Kun Xu
This study presents a high-order compact finite difference gas-kinetic scheme (FD-CGKS) that introduces a novel spatial discretization strategy for the efficient implementation of…
physics.flu-dyn2026
A Hybrid Gas-Kinetic Scheme and Discrete Velocity Method for Continuum and Rarefied Flows
Hangkong Wu, Yuze Zhu, Yajun Zhu +1
The gas-kinetic scheme (GKS) provides high computational efficiency and accuracy for continuum flow simulations but is unable to reliably capture rarefaction effects. In contrast,…