Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Application of the Krylov Subspace Method to the Incompressible Navier-Stokes Equations

비압축성 Navier-Stokes 방정식에 대한 Krylov 부공간법의 적용

  • 맹주성 (한양대학교 기계공학부) ;
  • 최일곤 (한양대학교 대학원 기계공학과) ;
  • 임연우 (한양대학교 대학원 기계공학과)
  • Published : 2000.07.01
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Abstract

The preconditioned Krylov subspace methods were applied to the incompressible Navier-Stoke's equations for convergence acceleration. Three of the Krylov subspace methods combined with the five of the preconditioners were tested to solve the lid-driven cavity flow problem. The MILU preconditioned CG method showed very fast and stable convergency. The combination of GMRES/MILU-CG solver for momentum and pressure correction equations was found less dependency on the number of the grid points among them. A guide line for stopping inner iterations for each equation is offered.

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References

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