Three-dimensional RANS calculations and comparisons
with experimental data are presented for subsonic
and transonic flow past a non-axisymmetric
(rectangular) nozzle/afterbody typical of those
found in fast-jet aircraft. The full details of the
geometry have been modelled, and the flow domain
includes the internal nozzle flow and the jet
exhaust plume. The calculations relate to two
free-stream Mach numbers of 0-6 and 0-94 and have
been performed during the course of a collaborative
research programme involving a number of UK
universities and industrial organisations. The close
interaction between partners contributed greatly to
the elimination of computational inconsistencies and
to rational decisions on common grids and boundary
conditions, based on a range of preliminary
computations. The turbulence models used in the
study include linear and non-linear eddy-viscosity
models. For the lower Mach number case, the flow
remains attached and all of the turbulence models
yield satisfactory pressure predictions. However,
for the higher Mach number, the flow over the
afterbody is massively separated, and the effect of
turbulence model performance is pronounced. It is
observed that non-linear eddy-viscosity modelling
provides improved shock capturing and demonstrates
significant turbulence anisotropy. Among the linear
eddy-viscosity models, the SST model predicts the
best surface pressure distributions. The standard
k -ε model gives reasonable
results, but returns a shock location which is too
far downstream and displays a delayed recovery. The
flow field inside the jet nozzle is not influenced
by turbulence modelling, highlighting the
essentially inviscid nature of the flow in this
region. However, the resolution of internal shock
cells for identical grids is found to be dependent
on the solution algorithm -specifically, whether it
solves for pressure or density as a main dependent
variable. Density-based time-marching schemes are
found to return a better resolution of shock
reflection. The paper also highlights the urgent
need for more detailed experimental data in this
type of flow.