Solution of the Navier-Stokes Equations in Three Dimensions Using a Fully Unfactored Method. Aerospace Engineering Report 9908

An unfactored implicit time-marching method for the solution of the three dimensional Navier-Stokes equations on multiblock curvilinear grids is presented. For robustness the convective terms are discretised using an upwind TVD scheme. A centred approach is followed for the discretisation of the viscous terms. The linear system arising from each implicit time step is solved using a Krylov subspace method with preconditioning based on an block incomplete lower-upper (BILU(O)) factorisation. Results are shown for the ONERA B1 ogive, for the ONERA M6 wing, the NLR-F5 clean wing and the ONERA B2 ogive, demonstrating good comparison with experiment except for some discrepancies in the last case due to turbulence modelling