Time Spectral Method for Periodic Unsteady Computations over Two- and Three- Dimensional Bodies

  • Gopinath A
  • Jameson A
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The Time Spectral Algorithm is proposed for the fast and efficient
computation of timeperiodic turbulent Navier-Stokes calculations
past two- and three-dimensional bodies. The efficiency of the approach
derives from these attributes: 1)time discretization based on a Fourier
representation in time to take advantage of its periodic nature,
2)multigrid to drive a fully implicit time stepping scheme. The accuracy
and efficiency of this technique is verified by Euler and Navier-Stokes
calculations for a pitching airfoil and a pitching wing. Results
verify the small number of time intervals per pitching cycle required
to capture the flow physics. Spectral convergence is demonstrated
for pitching motion characterised by many frequencies.

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  • Arathi Gopinath

  • Antony Jameson

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