A Compressible Turbulent Flow Solver For Complex 3D Configurations
DOI:
https://doi.org/10.11113/mjce.v11.15626Abstract
A numerical procedure is presented for simulating three dimensional turbulent
flow problems. The mass-averaged Navier-Stokes equations are solved together
with the low-Reynolds k - co two-equation turbulence model. The standard
Galerkin approach is used for spatial discretisation. Stabilisation and
discontinuity capturing is achieved by the addition of an appropriate diffusion.
An explicit multistage time stepping scheme is used to advance the solution in
time to steady state. The study of realistic problems involving complex
geometries can be achieved by using parallel computers. The results of a
simulation involving ' transonic turbulent flow about a complete aircraft are
presented.
References
Jameson, A., Schmidt, W., and Turkel, E., Nemerical simulation of the
Euler equations by the finite volume method using Runge-Kutta time
stepping schemes, AIM paper 81-1259, 1981.
Peraire, J., Peiro, J., and Morgan, K.,·A 3-D finite element multigrid solver
for the Euler equations, AIAA paper 92-0449, 1992.
Peraire, J ., Peiro, J., and Morgan, K., Finite element multigrid solution of
Euler flows past installed aero-engines, Compo Mech., Vol. 11, pages 433451
,1993.
Manzari, M.T., Morgan, K., and Hassan, 0 ., Compressible turbulent flow
computations on unstructured grids, In Hafez, M., editor, Computational
Fluid Dynamics Review, John Wiley and Sons, 1996.
Manzari, M.T., Morgan, K., and Hassan, 0., Transonic flow computations
using two-equation turbulence models, International Journal ofNumerical
Methods in Fluids, 1998, Submitted.
Wilcox, D.C., Reassessment of the scale determining equation for
advanced turbulence models, AIAA J., Vol. 26, No. 11, pages 1299-1310,
Hassan, 0 '-, Probert, EJ., Morgan.K; and Peraire, J., Mesh generation and
" adaptivity for the solution of compressibie viscous high speed flows,
"International Journal for Numerical Methods in Engineering, VoL 38,
pages 1123-1148, 1995.
Manzari, M.T.; An Unstructured " grid finite element. "algorithm for
compressible turbulent flow computations, PhD Thesis, University of
Wales Swansea, 1996.
Simon, H.D., Partitioning of unstructured problems for parallel processing,
Computing Systems in Egineering, Vo1.2, pages 135-148, 1991.