3 papers
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.comp-ph2026
A single-stage high-order compact gas-kinetic scheme in arbitrary Lagrangian-Eulerian formulation
Yue Zhang, Xing Ji, Yibing Chen +2
This study presents the development of a compact gas-kinetic scheme using an arbitrary Lagrangian-Eulerian (ALE) formulation for structured meshes. Unlike the Eulerian formulation,…
math-ph2026
The stability priority of spatial-temporal coupled compact element methods over decoupled compact element methods
Qihui Gao, Xing Ji, Zhifang Du +3
With the increasing industrial demands, two families of high-order numerical schemes are widely used within the computational fluid dynamics community. One is the method of line, w…