Abstract:

For some cases, such as 2-D　lid-driven cavity flow and backward-facing step flow, it is difficult to converge, when some high-order schemes are adopted. The influences of the unsteady term on convergence of the SIMPLER algorithm were discussed. In conclusion, the algorithm with a steady term could not converge with the high Re number, and the  convergence could be greatly improved by adopting the unsteady term.

Key words: the N-S equation; unsteady term; convergence