Preconditioned Krylov subspace methods for solving nonsymmetric matrices from CFD applications

Jun Zhang

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


We conduct an experimental study on the behavior of several preconditioned iterative methods to solve nonsymmetric matrices arising from computational fluid dynamics (CFD) applications. The preconditioned iterative methods consist of Krylov subspace accelerators and a powerful general purpose multilevel block ILU (BILUM) preconditioner. The BILUM preconditioner and an enhanced version of it are slightly modified versions of the originally proposed preconditioners. They will be used in combination with different Krylov subspace methods. We choose to test three popular transpose-free Krylov subspace methods: BiCGSTAB, GMRES and TFQMR. Numerical experiments, using several sets of test matrices arising from various relevant CFD applications, are reported. (C) 2000 Elsevier Science S.A. All rights reserved.

Original languageEnglish
Pages (from-to)825-840
Number of pages16
JournalComputer Methods in Applied Mechanics and Engineering
Issue number3
StatePublished - 2000

Bibliographical note

Funding Information:
This research was supported in part by the University of Kentucky Center for Computational Sciences.


  • CFD applications
  • Krylov subspace methods
  • Multilevel preconditioner
  • Nonsymmetric matrices

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy (all)
  • Computer Science Applications


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