Discontinuous Time Relaxation Method for the Time-Dependent Navier-Stokes Equations

الملخص EN

A high-order family of time relaxation models based on approximate deconvolution is considered.

A fully discrete scheme using discontinuous finite elements is proposed and analyzed.

Optimal velocity error estimates are derived.

The dependence of these estimates with respect to the Reynolds number Re is ?(Re eRe), which is an improvement with respect to the continuous finite element method where the dependence is ?(Re eRe3).