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Multigrid methods with line and block smoothers for compressible Navier-Stokes equations

  • J. Steelant
  • E. Dick
  • S. Pattijn
  • J. Vierendeels
Algorithms Navier-Stokes
Part of the Lecture Notes in Physics book series (LNP, volume 490)

Abstract

The multigrid performance of line and blockwise Gauss-Seidel relaxation smoothers for compressible laminar and turbulent Navier-Stokes equations is illustrated on two test problems: a flat plate and a backward facing step. The line method is an Alternating Symmetric Line Gauss-Seidel relaxation. In the block method, the grid is subdivided into geometric blocks of nxn points with one point overlap. Within the blocks, the solution is obtained by a direct method or with an Alternating Modified Incomplete Lower-Upper decomposition. The analysis is focused on flows typical for boundary layers, stagnation and recirculation regions. These are characterized by very small Mach numbers, high Reynolds numbers and high mesh aspect ratios.

Keywords

Multigrid Method Convergence History Turbulence Equation Smoothing Property Maximum Block Size 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • J. Steelant
    • 1
  • E. Dick
    • 1
  • S. Pattijn
    • 1
  • J. Vierendeels
    • 1
  1. 1.Department of Mechanical and Thermal EngineeringUniversiteit Gent Sint Pietersnieuwstraat 41GentBelgium

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