Local preconditioners for steady and unsteady flow applications

Eli Turkel*, Veer N. Vatsa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Preconditioners for hyperbolic systems are numerical artifacts to accelerate the convergence to a steady state. In addition, the preconditioner should also be included in the artificial viscosity or upwinding terms to improve the accuracy of the steady state solution. For time dependent problems we use a dual time stepping approach. The preconditioner affects the convergence rate and the accuracy of the subiterations within each physical time step. We consider two types of local preconditioners: Jacobi and low speed preconditioning. We can express the algorithm in several sets of variables while using only the conservation variables for the flux terms. We compare the effect of these various variable sets on the efficiency and accuracy of the scheme.

Original languageEnglish
Pages (from-to)515-535
Number of pages21
JournalESAIM: Mathematical Modelling and Numerical Analysis
Issue number3
StatePublished - May 2005


  • Compressible Navier Stokes
  • Dual time Step
  • Jacobi
  • Low Mach
  • Preconditioning


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