中文摘要：

本文利用f-平面浅水模型讨论了二维情况下快速惯性重力波与平衡涡旋之间的相互作用问题。当快速的惯性重力波传入涡旋区域后，波-涡之间发生了相互作用，涡旋可被加深，涡旋区域的风场等可以出现非对称分布，当惯性重力波全部传出涡旋区域并远离之后，涡旋恢复到其初始状态，但此时惯性重力波可以出现非对称结构，这与一维情况不同．在波-涡发生相互作用过程中，其物理量变化的最大区域分布基本与波动传播方向一致，在波动进入或移出涡旋时，相对应存在两个最大物理量变化区域，此外，相互作用导致的物理量的最大变化与波动结构、强度、传播方向以及涡旋特性有关．非线性条件下的波-涡相互作用要强于线性过程．

英文摘要：

The interaction between inertia-gravity waves （IGWs） and the balance vortex in the two-dimensional f-plan shallow water fluid is investigated. When the IGWs propagate into the vortex, the two components did interact. The vortex could be deepening, and the wind structure of the vortex could become asymmetric. However, as the IGWs leaving the vortex, it recovers its initial structure while the initially north-south symmetric IGWs take on asymmetric structure. This feature is different from the one-dimensional case. The degree of wave-vortex interaction is not same in the whole vortex region. The distribution of the maximum variety of physical variables is almost consistent with the IGWs propagation direction. There are two regions in which the physical variables vary largest as the waves entering and leaving the vortex region. Besides the wave-vortex interaction is also related to the initial structure, strength and propagating direction of the iGWs and the characters of vortex. In the linear system the interaction is weaker, but the quality is similar to that in nonlinear system.