Interplay of surface geometry and vorticity dynamics in incompressible flows on curved surfaces  

作　　者：Qian SHI Yu CHEN Xilin XIE 

机构地区：[1]Department of Aeronautics and Astronautics,Fudan University,Shanghai 200433,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2017年第9期1191-1212,共22页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11472082 and11172069)

摘　　要：Incompressible viscous flows on curved surfaces are considered with respect to the interplay of surface geometry, curvature, and vorticity dynamics. Free flows and cylindrical wakes over a Gaussian bump are numerically solved using a surface vorticity- stream function formulation. Numerical simulations show that the Gaussian curvature can generate vorticity, and non-uniformity of the Gaussian curvature is the main cause. In the cylindrical wake, the bump dominated by the positive Gaussian curvature can significantly affect the vortex street by forming velocity depression and changing vorticity transport. The results may provide possibilities for manipulating surface flows through local change in the surface geometry.Incompressible viscous flows on curved surfaces are considered with respect to the interplay of surface geometry, curvature, and vorticity dynamics. Free flows and cylindrical wakes over a Gaussian bump are numerically solved using a surface vorticity- stream function formulation. Numerical simulations show that the Gaussian curvature can generate vorticity, and non-uniformity of the Gaussian curvature is the main cause. In the cylindrical wake, the bump dominated by the positive Gaussian curvature can significantly affect the vortex street by forming velocity depression and changing vorticity transport. The results may provide possibilities for manipulating surface flows through local change in the surface geometry.

关 键 词：two-dimensional flow vorticity dynamics incompressible viscous CURVATURE 

分 类 号：O357.1[理学—流体力学]