Accelerating three-dimensional navier-stokes calculations

N. A. Pierce, M. B. Giles, A. Jameson, Luigi Martinelli

Research output: Contribution to conferencePaper

14 Scopus citations


This paper addresses the widely observed breakdown in multigrid performance for turbulent Navier-Stokes computations on highly stretched meshes. Extending previous work in two dimensions, two alternative preconditioned multigrid methods are proposed based on an examination of the analytic expressions for the preconditioned Fourier footprints in an asymptotically stretched boundary layer cell. These methods provide for efficient multigrid performance by ensuring that all error modes are effectively damped inside the boundary layer. The schemes also strive to balance the trade-offs between operation count, storage overhead, and parallel scalability. The first of these methods is implemented for the present work and is shown to dramatically accelerate convergence for three-dimensional turbulent Navier-Stokes calculations.

Original languageEnglish (US)
Number of pages23
StatePublished - Jan 1 1997
Event13th Computational Fluid Dynamics Conference, 1997 - Snowmass Village, United States
Duration: Jun 29 1997Jul 2 1997


Other13th Computational Fluid Dynamics Conference, 1997
CountryUnited States
CitySnowmass Village

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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    Pierce, N. A., Giles, M. B., Jameson, A., & Martinelli, L. (1997). Accelerating three-dimensional navier-stokes calculations. 676-698. Paper presented at 13th Computational Fluid Dynamics Conference, 1997, Snowmass Village, United States.