Ogawa, Satoru; Ishiguro, Tomiko Numerical simulations of flow fields around a moving body. (English) Zbl 0616.76043 Theor. Appl. Mech. 34, 15-27 (1986). A new method for calculating flow fields with arbitrarily moving boundaries is proposed. Under the concept of the Lie derivative the field equations in general moving coordinates are derived, which consist of several kinds of equations, for example, one written in Viviand’s conservative form [H. Viviand, Rech. Aerosp. 1974, 65-66 (1974; Zbl 0277.76062)]. According to our formulation, it is natural and reasonable to consider that the computational coordinates fitted to the body move in space, contrary to the usual computational procedures. The two-dimensional incompressible Navier-Stokes equations in general moving coordinates are solved by a finite difference method. Using the third- order upwind scheme, the present calculations are made for: (a) the dynamic stall process on an oscillating airfoil; and (b) the flow generated by a moving cylinder. Consequently it is shown that the flows generated by a moving body can easily be analyzed by the present method. MSC: 76D10 Boundary-layer theory, separation and reattachment, higher-order effects 76G25 General aerodynamics and subsonic flows 76M99 Basic methods in fluid mechanics 76H05 Transonic flows Keywords:dynamical stall; oscillating airfoil; moving boundaries; Lie derivative; field equations; general moving coordinates; Viviand’s conservative form; two-dimensional incompressible Navier-Stokes equations; finite difference method; third-order upwind scheme; dynamic stall process; moving cylinder Citations:Zbl 0277.76062 PDFBibTeX XMLCite \textit{S. Ogawa} and \textit{T. Ishiguro}, Theor. Appl. Mech. 34, 15--27 (1986; Zbl 0616.76043)