Applied Mathematics and Mechanics (English Edition)
题名：Interplay of surface geometry and vorticity dynamics in incompressible flows on curved surfaces
作者：Qian SHI, Yu CHEN, Xilin XIE
单位：Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, China
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 vorticitystream 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
Cite this article as:
Qian SHI, Yu CHEN, Xilin XIE. Interplay of surface geometry and vorticity dynamics in incompressible flows on curved surfaces. Appl. Math. Mech. -Engl. Ed., 38(9), 1191-1212(2017)
全文链接：
http://www.amm.shu.edu.cn/EN/abstract/abstract15139.shtml