Analysis of Dual-Time-Stepping with Explicit Subiterations for Advection-Diffusion-Type Equations

نویسندگان

  • G. A. Gerolymos
  • I. Vallet
چکیده

The purpose of the present paper is to study theoretically the stability and accuracy of dualtime-steppingmethods for the advection-diffusionequation, in conjuctionwith high-order upwindbiased space-discretizations, and high-order backward-differences time-discretizations. These results are in particular analyzed for typical nondimensional time-steps encountered in the simulation of wall-bounded turbulent flows. We attempt to define optimal subiterative strategies (and dual-time-step choice), with respect to stability and accuracy requirements. Typical computational examples are presented.

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تاریخ انتشار 2009