Rg. Melvin et al., A 2-LEVEL ACCELERATION SCHEME APPLIED TO FULL-POTENTIAL FLOW COMPUTATIONS, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 243-246
The TRANAIR aerodynamics code is used as a testbed for developing adva
nced iterative methods that lend themselves to parallel or distributed
computing. In the case of aerodynamics design optimization, a signifi
cant part of the computational cost is in the solution of large sparse
nonsymmetric linear systems. We have implemented a two-level method f
or solving such linear systems and present preliminary computational r
esults for problems in two space dimensions. We observe a lime-space t
rade-off mediated by parameters that govern the amount of fill-in in i
ncomplete factorizations on each level. In both subsonic and transonic
flow regimes, parameter choices exist that lead to substantial improv
ements in runtime for comparable memory requirements, relative to a si
ngle grid method.