中文摘要：

这份报纸为答案建议一个混合以顶点为中心的有限 volume/finite 元素方法二维(2D ) 未组织的格子上的不可压缩的海军司烧方程。一个增长压力部分步方法被采用处理联合的速度压力。速度和压力在被加入分享普通顶点的房间的矩心形成的以顶点为中心的控制体积的节点被并置。为动量方程的时间的集成，一个含蓄的秒顺序计划被利用提高计算稳定性并且由于散开术语消除时间步限制。动量方程是由以顶点为中心的有限体积方法(FVM ) 的 discretized，压力泊松方程被 Galerkin 有限元素方法解决(女性) 。动量插值外面习惯于阻尼假压力摆动。有分析答案的测试用例为速度和压力在时空表明当前的混合计划的秒顺序精确性。经典测试用例，盖驱动的洞流动，斜洞流动和向后面对的步流动，数字结果在对出版基准答案的好同意的表演。

英文摘要：

This paper proposes a hybrid vertex-centered fi- nite volume/finite element method for solution of the two di- mensional （2D） incompressible Navier-Stokes equations on unstructured grids. An incremental pressure fractional step method is adopted to handle the velocity-pressure coupling. The velocity and the pressure are collocated at the node of the vertex-centered control volume which is formed by join- ing the centroid of cells sharing the common vertex. For the temporal integration of the momentum equations, an im- plicit second-order scheme is utilized to enhance the com- putational stability and eliminate the time step limit due to the diffusion term. The momentum equations are discretized by the vertex-centered finite volume method （FVM） and the pressure Poisson equation is solved by the Galerkin finite el- ement method （FEM）. The momentum interpolation is used to damp out the spurious pressure wiggles. The test case with analytical solutions demonstrates second-order accuracy of the current hybrid scheme in time and space for both veloc- ity and pressure. The classic test cases, the lid-driven cavity flow, the skew cavity flow and the backward-facing step flow, show that numerical results are in good agreement with the published benchmark solutions.