بررسي دقت روش هاي فشرده و ابرفشرده در گسسته سازي مكاني معادلات آب كم عمق خطي شده

Accuracy assessment of super compact and compact schemes for spatial differencing of linearized shallow water equations.

This paper is devoted to assessing the accuracy of the compact and the super-compact finite difference methods for spatial differencing of the linearized shallow water equations. The second-order centered, the fourth-order centered, the fourth-order compact, the sixth-order compact and the sixth-order super-compact schemes are used to carry out the spatial differencing of the linearized shallow water equations on Arakawaʹs A and C grids. For the frequency and group velocity of linear inertia gravity waves on different numerical methods, the sixth-order super-compact method shows a substantial improvement on traditional centered and compact finite difference schemes.