1. ADFE Simulation for Anisotropic Convection Diffusion Problems with Moving Boundaries.
- Author
-
Xia Cui, Jing-Yan Yue, and Xi-Jun Yu
- Subjects
- *
ANISOTROPY , *FINITE element method , *COORDINATE transformations , *NUMERICAL analysis , *MATHEMATICAL transformations - Abstract
Alternating direction finite element (ADFE) simulation for moving boundary anisotropic convection diffusion problems is studied. Through the coordinate transformation of the spatial variants, a new domain independent of the time is obtained on which two ADFE algorithms are designed by introducing a small implicit viscous term and approaching the anisotropic diffusion explicitly. Theoretical analysis show that both algorithms have the optimal H¹ and L² norm spacial convergency, while their precisions for the temporal variant are O(Δt) and O((Δt)²) respectively. Numerical tests are made on three-dimensional model problem to verified the efficiency of the algorithms. [ABSTRACT FROM AUTHOR]
- Published
- 2009