4 papers · 1 filter
A linear MARS method for three-dimensional interface tracking
Yunhao Qiu, Qinghai Zhang
For explicit interface tracking in three dimensions, we propose a linear MARS method that (a) represents the interface by a partially ordered set of glued surfaces and approximates…
On Convergence of the Secant Method
Yan Tan, Chenhao Ye, Qinghai Zhang +1
The secant method, as an important approach for solving nonlinear equations, is introduced in nearly all numerical analysis textbooks. However, most textbooks only briefly address…
Lagrangian Particle Classification and Lagrangian Flux Identities for a Moving Hypersurface
Lingyun Ding, Shuang Hu, Baiyun Huang +1
For a moving hypersurface in the flow of a nonautonomous ordinary differential equation in -dimensional Euclidean spaces, the fluxing index of a passively-advected Lagrangian pa…
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…