摘要
The superconvergence of Multhopp′s discretization for the solution to the normal wash integral equation for the flow past a curved plate was theoretically analyzed and numerically examined. The Multhopp′s discretization also has a superconvergence behavior in simulating the vortex sheet evolution. An improved Multhopp′s method was suggested and applied to the numerical simulation of a periodical evolution of a flat vortex sheet. To validate the results obtained by the inviscid vortex method, the initial-value problem for the development of a shear layer at large Reynolds number was numerically investigated by solving the two-dimensional incompressible Navier-Stokes equations.
The superconvergence of Multhopp′s discretization for the solution to the normal wash integral equation for the flow past a curved plate was theoretically analyzed and numerically examined. The Multhopp′s discretization also has a superconvergence behavior in simulating the vortex sheet evolution. An improved Multhopp′s method was suggested and applied to the numerical simulation of a periodical evolution of a flat vortex sheet. To validate the results obtained by the inviscid vortex method, the initial-value problem for the development of a shear layer at large Reynolds number was numerically investigated by solving the two-dimensional incompressible Navier-Stokes equations.
基金
Project supported by the National Natural Science Foundation of China.(No.1 93 72 0 60 )
