node corresponds to an element and the middle states between two conjunction nodes correspond to the interface states of public side between two conjunction elements. A new geometrical and topological relationship is presented for convenience to describe and utilize the TVD scheme. An arbitrary quadrilateral element is defined as a main element and the eight elements surrounding this main element are named as satellitic elements. If the number of all the elements and nodes is known, the topological relations between the main elements and the satellite ones can be predetermined (see Ref.[10] in detail). Then the numerical fluxes of all the sides of the main element can be determined. The relationships between the main and the satellite elements are shown in Figure 1. However, the elements on land boundaries have only six satellite ones shown in Figure 2.

1.      FINITE VOLUME TVD SCHEME

For the element , the integral form of equation (1a) for the inner region  and the boundary can be written as

                                          (3)

where A represents the area of the region , dl denotes the arc length of the boundary , and n is a unit outward vector normal to the boundary

上一页  [1] [2] [3] [4] [5] [6] [7] [8] [9] 下一页

《A HIGH RESOLUTION FINITE VOLUME METHOD FOR SOLVING SHALLOW WATER EQUATIONS》这篇优秀的“英语其它”由知识宝库收集，来源于互联网和会员投稿，仅供参考和学习，文章版权归原作者所有，请在确认获得著作人合法授权后使用。