A High-Order Accurate Implicit Operator Scheme for Solving Steady Incompressible Viscous Flows Using Artificial Compressibility Method

  • Kazem Hejranfar
  • Ali Khajeh Saeed
Conference paper

Abstract

This paper uses a fourth-order compact implicit operator scheme for solving 2D/3D steady incompressible flows using the artificial compressibility method. To stabilize the numerical solution, numerical dissipation terms and/or filters are used. Results obtained for test cases are in good agreement with the available numerical and experimental results. A sensitivity study is also conducted to evaluate the effects of grid resolution and pseudocompressibility parameter on accuracy and convergence rate of the solution. The effects of filtering and numerical dissipation on the solution are also investigated.

Keywords

Incompressible flows Fourth-order implicit operator scheme Numerical dissipation 

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References

  1. Akaterinaris, J.A.: Implicit, High-Resolution, Compact Schemes for Gas Dynamics and Aeroacoustics. Journal of Computational Physics 156, 272–299 (1999)CrossRefMathSciNetGoogle Scholar
  2. Akaterinaris J.A.: Implicit high-order accurate in space algorithms for the NavierStokes equations. AIAA Journal 38(6), 1594–1602 (2000)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Kazem Hejranfar
    • 1
  • Ali Khajeh Saeed
    • 1
  1. 1.Aerospace Engineering DepartmentSharif University of TechnologyIran

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