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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
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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.
