Bj. Geurts et H. Kuerten, NUMERICAL ASPECTS OF A BLOCK STRUCTURED COMPRESSIBLE FLOW SOLVER, Journal of engineering mathematics, 27(3), 1993, pp. 293-307
A block structured compressible flow solver based on a finite volume a
pproach with central spatial differencing is described and its perform
ance in 2D on flow around an airfoil is studied. Variations in the num
ber and dimensions of the blocks do not influence the convergence beha
vior nor the solution, irrespective of the relative positions of a pos
sible shock and the block-interfaces. Mixed calculations, in which the
governing equations, either Euler or Reynolds averaged Navier-Stokes,
differ per block, give accurate results provided the Euler blocks are
defined outside the boundary layer and or in the far field wake regio
n. Likewise, extensive grid distortions near block interfaces can be a
llowed for outside the boundary layer. Finally, an unbalanced advancem
ent in time, in which each block is advanced independently over severa
l time steps gives no serious decrease in convergence rate.