ADFE Simulation for Anisotropic Convection Diffusion Problems with Moving Boundaries.

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]