环形空腔内自然对流问题的 Galerkin 格式及其分析

Galerkin Schemes and Their Analyses for the Problem of Natural Convection in an Annular Cavity

讨论了环形空腔内自然对流问题所满足的流函数形式的Ｂｏｕｓｓｉｎｅｓｑ方程组，建立了５种全离散Ｇａｌｅｒｋｉｎ有限元格式，在一定条件下，讨论了这些格式的稳定性和收敛性，给出了先验误差估计．

Four fully discrete Galerkin FEM schemes are established for a Boussinesq equation of stream function which governs the problem of natural convection in annular cavity. Under some conditions, stability and convergence of these schemes are analyzed, and error estimation is presented.