ARMS: Adding and removing markers on splines for high-order general interface tracking under the MARS framework

D Hu, K Liang, L Ying, S Li, Q Zhang - Journal of Computational Physics, 2025 - Elsevier
Based on the MARS framework for interface tracking (IT)(Zhang and Fogelson
(2016)[33])(Zhang and Li (2020)[35]), we propose ARMS (adding and removing markers on …

A fourth-order, multigrid cut-cell method for solving Poisson's equation in three-dimensional irregular domains

Y Qian, W Li, Y Tan, Q Zhang - arXiv preprint arXiv:2410.05865, 2024 - arxiv.org
We propose a fourth-order cut-cell method for solving Poisson's equations in three-
dimensional irregular domains. Major distinguishing features of our method include (a) …