2 papers
math.NA2025
Fourth- and Higher-Order Semi-Lagrangian Finite Volume Methods for the Two-dimensional Advection Equation on Arbitrarily Complex Domains
Yunxia Sun, Kaiyi Liang, Yuke Zhu +2
To numerically solve the two-dimensional advection equation, we propose a family of fourth- and higher-order semi-Lagrangian finite volume (SLFV) methods that feature (1) fourth-,…
math.NA2025
A fourth-order cut-cell method for solving the two-dimensional advection-diffusion equation with moving boundaries
Kaiyi Liang, Yuke Zhu, Jiyu Liu +1
We propose a fourth-order cut-cell method for solving the two-dimensional advection-diffusion equation with moving boundaries on a Cartesian grid. We employ the ARMS technique to g…