Simulation of unsteady turbulent flows around moving aerofoils using the pseudo-time method

The pseudo-time formulation of Jameson has facilitated the use of numerical methods for unsteady flows, these methods have proved successful for steady flows. The formulation uses iterations through pseudo-time to arrive at the next real time approximation. This iteration can be used in a straightforward manner to remove sequencing errors introduced when solving mean flow equations together with another set of differential equations (e.g. two-equation turbulence models or structural equations). The current paper discusses the accuracy and efficiency advantages of removing the sequencing error and the effect that building extra equations into the pseudo-time iteration has on its convergence characteristics. Test cases used are for the turbulent flow around pitching and ramping aerofoils. The performance of an implicit method for solving the pseudo-steady state problem is also assessed. Copyright © 2000 John Wiley & Sons, Ltd.

[1]  A. Hamed,et al.  Unsteady supersonic cavity flow simulations using coupled k-epsilon and Navier-Stokes equations , 1994 .

[2]  J. Ekaterinaris.  Numerical investigation of dynamic stall of an oscillating wing , 1995 .

[3]  Ken Badcock,et al.  An unfactored implicit moving mesh method for the two-dimensional unsteady N-S equations , 1996 .

[4]  W. J. Mccroskey,et al.  Computations of Unsteady Separating Flows over an Oscillating Airfoil , 1995 .

[5]  Ken Badcock,et al.  Solution of the Unsteady Euler Equations Using an Implicit Dual-Time Method , 1998 .

[6]  Bryan E. Richards,et al.  Integration of an implicit multiblock code into a workstation cluster environment , 1996, Parallel CFD.

[7]  Brian J Gribben.  Application of the multiblock method in computational aerodynamics , 1998 .

[8]  C. B. Allen,et al.  Central-difference and upwind-biased schemes for steady and unsteady Euler aerofoil computations , 1995, The Aeronautical Journal (1968).

[9]  David L. Whitfield,et al.  Flux-difference split algorithm for unsteady thin-layer Navier-Stokes solutions , 1992 .

[10]  A. Gaitonde,et al.  A dual-time method for the solution of the unsteady Euler equations , 1994, The Aeronautical Journal (1968).

[11]  Dimitri J. Mavriplis,et al.  IMPLICIT METHOD FOR THE COMPUTATION OF UNSTEADY FLOWS ON UNSTRUCTURED GRIDS , 1995 .

[12]  A Comparison of a Cell-Centre Method and a Cell-Vertex Method for the Solution of the Two-Dimensional Unsteady Euler Equations on a Moving Grid , 1995 .

[13]  A. Jameson.  Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings , 1991 .

[14]  K. H. Lee,et al.  High-Resolution Finite Volume Computation of Turbulent Transonic Flow Past Airfoils , 1997 .