A. Cui et Dd. Knight, PARALLEL COMPUTATION OF THE 2-D NAVIER-STOKES FLOWFIELD OF A PITCHINGAIRFOIL, International journal of computational fluid dynamics, 4(1-2), 1995, pp. 111-135
An unsteady, compressible, two dimensional Navier-Stokes solver has be
en developed for the Connection Machine (CM-2 and CM-5). The solver ha
s been applied to the computations of subsonic viscous flow past a pit
ching airfoil at Re-c = 10(4), (based on airfoil chord length) M(infin
ity) = 0.2, non-dimensional pitching rate Omega(o)(+) = 0.2 and 0.4. T
he algorithm for solving the Navier-Stokes equations is based on an un
structured grid of triangles. Roe's flux difference split method is em
ployed for the inviscid fluxes. A discrete representation of Gauss' th
eorem is used for the viscous fluxes and heat transfer. A four stage m
odified Runge-Kutta algorithm is employed for the temporal integration
. The algorithm is second order accurate in space and time. The implem
entation of the algorithm on the Connection Machine and the investigat
ion of the incipient boundary layer separation for a pitching airfoil
are presented. The investigation of the effect of pitching rate on inc
ipient boundary layer separation for a pitching airfoil shows that inc
reasing Omega(o)(+) delays the formation of the three recirculating re
gions near the leading edge and results in higher values of the lift a
nd drag coefficients.