Prospects of computational fluid dynamics applied to post-stall maneuvering

A mixed spectral method for incompressible viscous fluid flow in an infinite strip

“…Therefore, it seems reasonable to construct numerical schemes based on certain alternative formulations of the Navier-Stokes equation. Some authors have used the vorticity-stream function form, see [25,27]. However, there is no physical boundary condition on the vorticity.…”

The AGE method for direct numerical simulation of turbulent shear flow

“…That method uses Equation (2) and substitutes the variable density for pressure in Equation (1) via an artificial equation of state. However, the aim was to provide a means of iteration that would approach true incompressibility.…”

“…Several comprehensive monographs are available that review all the approaches, e.g. Roach [2], Peyret and Taylor [3], the two volumes by Fletcher [4], and Ferziger and Peric [5], and there are too many specialised review articles to list.…”

Prediction-correction legendre spectral scheme for incompressible fluid flow

“…Usually the primitive equation is considered, e.g., see [1,2]. Many methods are used for the numerical simulation of this problem, such as finite difference method, finite element method and spectral method, e.g., see [2][3][4][5][6][7][8]. But we meet several difficulties in calculation.…”

“…Therefore we look for alternative formulations of Navier-Stokes equation. One of them is the vorticity-stream function form (see [1,3,4]). Since the incompressibility is included automatically and the pressure no longer appears in this case, the above difficulties are removed in theoretical analysis and numerical experiments.…”