Two-level method and some a priori estimates in unsteady Navier-Stokes calculations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:104

Article

Olshanskii, MA

关键词: Navier-Stokes equation;    two-level method;    a priori estimate;   

DOI  :  10.1016/S0377-0427(99)00056-4

来源: Elsevier

【 摘 要 】

A two-level method proposed for quasielliptic problems is adapted in this paper to the simulation of unsteady incompressible Navier-Stokes flows. The method requires a solution of a nonlinear problem on a coarse grid and a solution of linear symmetric problem on a fine grid, the scaling between these two grids is superlinear. Approximation, stability, and convergence aspects of a fully discrete scheme are considered. Stability properties of the two-level scheme are compared with those for a commonly used semi-implicit scheme, some new estimates are also proved for the latter. (C) 1999 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free