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Navier-Stokes equation

Reynolds-robust preconditioners for the stationary incompressible Navier--Stokes equations

Prof.Patrick Farrell, University of Oxford

Dec 5, 12:00 - 13:00

B9 L2 R2322 H1

Navier-Stokes equation Robustness

Building on the work of Schöberl, Olshanskii, and Benzi, in this talk we present the first preconditioner for the Newton linearization of the stationary Navier--Stokes equations in three dimensions that achieve both optimal complexity in of count and Reynolds-robustness. The exact details of the preconditioner varies with discretization, but the general theme is to combine augmented Lagrangian stabilisation, a custom multigrid prolongation operator involving local solves on coarse cells, and an additive patchwise relaxation on each level that captures the kernel of the divergence operator.

Computer, Electrical and Mathematical Sciences and Engineering (CEMSE)

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