摘要 : A stability condition is provided for a class of vorticity boundary formulas used withthe second order finite-difference numerical scheme for the vorticity-stream function formulation ofthe unsteady incompressible Navier-Stokes eq... 展开 A stability condition is provided for a class of vorticity boundary formulas used withthe second order finite-difference numerical scheme for the vorticity-stream function formulation ofthe unsteady incompressible Navier-Stokes equations. These local vorticity boundary formulas arederived using the no-slip boundary condition for the velocity. A new form of these long-stencilformulas is needed to classify the stability property, in which local terms are controlled by globalquantities via discrete elliptic regularity for the stream functions. 收起