Recycling augmented Lagrangian preconditioner in an incompressible fluid solver

The paper discusses a reuse of matrix factorization as building block in the Augmented Lagrangian (AL) and modified AL preconditioners for non-symmetric saddle point linear algebraic systems. strategy is applied to solve two-dimensional incompressible fluid problems with efficiency rates independent Reynolds number. solver then tested simulate motion surface fluid, an example 2D flow motivated by interest lateral fluidity inextensible viscous membranes. Numerical examples include Kelvin--Helmholtz instability problem posed on sphere torus. Some new eigenvalue estimates preconditioner are derived.