A compact streamfunction-velocity scheme for the 2-D unsteady incompressible Navier-Stokes equations in arbitrary curvilinear coordinates  

作　　者：Jian-xin Qiu Bo Peng Zhen-fu Tian 

机构地区：[1]Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China

出　　处：《Journal of Hydrodynamics》2019年第4期827-839,共13页水动力学研究与进展B辑（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11872151, 11372075, 91330112 and 11502054);supported by the China Postdoc-toral Science Foundation (Grant No. 2014M550211).

摘　　要：A streamfunction-velocity formulation-based compact difference method is suggested for solving the unsteady incompressible Navier-Stokes equations in the arbitrary curvilinear coordinates, in which the stream function and its first derivatives as the unknown variables are utilized. Numerical examples, involving the boundary layer problem, a constricted channel flow, driven polar cavity flow and trapezoidal cavity flow problem, are solved by the present method. Numerical results demonstrate the accuracy of the proposed scheme and exhibit the numerical capability to simulate the flow problems on geometries beyond rectangular. For driven polar cavity flow problem, the results show that the flow for Re = 5 000 is not steady but time-periodic, and the critical Reynold number (Rec) for the occurrence of a Hopf bifurcation is given.

关 键 词：Streamfunction-velocity formulation ARBITRARY curvilinear coordinates COMPACT SCHEME UNSTEADY INCOMPRESSIBLE flow 

分 类 号：T[一般工业技术]