2 papers
math.NA2026
A multiphase cubic MARS method for fourth- and higher-order interface tracking of two or more materials with arbitrary topology and geometry
Yan Tan, Yixiao Qian, Zhiqi Li +1
For interface tracking of an arbitrary number of materials in two dimensions, we propose a multiphase cubic MARS method that (a) represents the topology and geometry of the interfa…
math.NA2024
A fourth-order, multigrid cut-cell method for solving Poisson's equation in three-dimensional irregular domains
Yixiao Qian, Weizhen Li, Yan Tan +1
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) applicable…