计算浅水环流的波方程模式  

The Mode of a Wave Equation for Calculating the Circulation in Shallow water

作　　者：赵汉中[1] 

机构地区：[1]华中理工大学力学系

出　　处：《华中理工大学学报》1994年第1期114-118,共5页Journal of Huazhong University of Science and Technology

摘　　要：对计算浅水环流的波方程模式进行了研究，指出了波方程模式的解在什么条件下满足质量守恒；并证明了空间离散误差不会影响该模式对非物理短波干扰的衰减，所以波方程模式具有较好的抑制短波振荡的特性。The mode of a wave equathn(WE)for calculating the circulation in shallow water is studied.It is shown that the WE mode satisfies the conservation of mass only under certain conditions,which can be easily met by an appropriate choice of a coefficient in the equation provided an improved WE mode is adopted.The WE mode is compared with the primitive shallow water equation(PE)rnode by making a Fourier analysis. It has been found that the PE mode may lose its ability to damp the non-physical spatial oscillation because of the dis- cretization error. However,the WE mode is capable of maintaining its damping ability. therefore,the WE mode is better than the PE one in suppressing the spatial oscillation of the short wave.

关 键 词：流体力学 浅水环流 波方程 

分 类 号：O351.2[理学—流体力学]