English

Unified Gas-Kinetic Scheme for Unsteady Multiscale Flows with Moving Boundaries

Fluid Dynamics 2026-04-14 v1 Computational Physics

Abstract

Simulating multiscale flows with moving boundaries, such as hypersonic multi-body separation and flows in micro-electro-mechanical systems (MEMS), requires robust numerical methods that couple mesh deformation with complex flow physics. This paper presents a hybrid overlapping moving-mesh technique developed within the unified gas-kinetic scheme (UGKS). To mitigate the Courant-Friedrichs-Lewy (CFL) constraint, we extend the implicit unsteady UGKS solver to support moving meshes, incorporating memory-efficient data handling and parallel computing optimizations to maximize computational efficiency. Validated against hypersonic multi-body separation and thermal rarefied MEMS flows, the proposed scheme accurately resolves complex, dynamic multiscale phenomena. The results confirm that this robust and efficient method provides a highly reliable tool for modeling dynamic flow interactions in complex geometric configurations.

Keywords

Cite

@article{arxiv.2604.09984,
  title  = {Unified Gas-Kinetic Scheme for Unsteady Multiscale Flows with Moving Boundaries},
  author = {Yue Zhang and Wenpei Long and Junzhe Cao and Kun Xu},
  journal= {arXiv preprint arXiv:2604.09984},
  year   = {2026}
}