Computation of Turbulent Pitching Aerofoil Flows. G.U. Aero Report 9322

An unfactored implicit method for the unsteady, turbulent Navier-Stokes equations is adapted for pitching aerofoil flows. The mesh is moved rigidly with the aerofoil. Parameter tests on the method are presented. Test cases examined are from the AGARD aeroelastic configurations and involve the NACA0012 and NACA64A010 aerofoils. Detailed comparisons with experiment are presented

AF-CGS-P: an Unfactored Method in Parallel for Turbulent Pitching Aerofoil Flows. G.U. Aero Report 9323

An unfactored implicit method for the unsteady, turbulent Navier-Stokes equations is implemented in parallel. The algorithm uses the alternating direction implicit (ADI) method as a preconditioner for a conjugate gradient solution of the linear system at each time step. The sequential nature of the ADI process is tackled by using a transposition method to solve complete ADI sweeps on single processors. Results are presented for a standard pitching aerofoil case solved on the iPSC

Newton's Method for Steady Laminar Aerofoil Flows. G.U. Aero Report 9310

Newton’s method for steady laminar flows over aerofoils is examined as a prelude to the study of more demanding unsteady flows. A simple and fast method for approximating the Jacobian is proposed and various conjugate gradient techniques are evaluated for the solution of the linear system. Rapid convergence is demonstrated on two test cases

AF-CGS-P: an Unfactored Method in Parallel for Turbulent Pitching Aerofoil Flows. G.U. Aero Report 9323

An unfactored implicit method for the unsteady, turbulent Navier-Stokes equations is implemented in parallel. The algorithm uses the alternating direction implicit (ADI) method as a preconditioner for a conjugate gradient solution of the linear system at each time step. The sequential nature of the ADI process is tackled by using a transposition method to solve complete ADI sweeps on single processors. Results are presented for a standard pitching aerofoil case solved on the iPSC

An Investigation of Mesh Sequencing and Mesh Coarsening for the AF-CGS method. G.U. Aero Report 9411

The use of mesh sequencing as a way to speed up the convergence of the AF-CGS method is considered for the AGARD test case 9. A mesh refinement study is also carried out to determine a compromise mesh which will produce an accurate solution with fewer grid points

Computer Assisted Learning for Fluid Mechanics. G.U. Aero Report 9616.

No abstract available

Time Stepping Approaches for Three-Dimensional Transonic Viscous Flows. G.U. Aero Report 9412

A novel time-stepping approach is presented for the three-dimensional thin-layer Navier-Stokes equations. The method involves a two factor approximate factorisation and uses a preconditioned conjugate gradient solution for one of the factors. The method has potential to provide most of the advantages of a fully unfactored method without the huge memory requirements. A partially implicit method is also considered. Results and a stability analysis are presented to evaluate the approaches

The Application of an Unfactored Method to the Simulation of Nonlinear Aerofoil Responses: Part I - Verification for Inviscid Flows. G.U. Aero Report 9432

An unfactored solution method developed for the Navier-Stokes equations is applied to study the nonlinear aeroelastic response of an aerofoil. A loosely coupled approach is adopted with the structural equations and the flow equations being solved in sequence. The flow solver efficiency is compared with the standard ADI method and the results are compared with previous computations for the NACA64A006 aerofoil

An Investigation of Mesh Sequencing and Mesh Coarsening for the AF-CGS method. G.U. Aero Report 9411

The use of mesh sequencing as a way to speed up the convergence of the AF-CGS method is considered for the AGARD test case 9. A mesh refinement study is also carried out to determine a compromise mesh which will produce an accurate solution with fewer grid points

Unfactored Multiblock Methods: Part I - Initial Method Development. G.U. Aero Report 9511

The use of implicit multiblock methods is discussed and an unfactored method based on a conjugate gradient type solution is described. Preconditioners appropriate to multiblock are considered along with future extensions to parallel computing