Recycling augmented Lagrangian preconditioner in an incompressible fluid solver
2021
The paper discusses a reuse of matrix factorization as a building block in the Augmented Lagrangian (AL) and modified AL preconditioners for a non-symmetric saddle point linear algebraic systems. The strategy is applied to solve two-dimensional incompressible fluid problems with efficiency rates independent of the Reynolds number. The solver is then tested to simulate a motion of surface fluids, an example of 2D flows motivated by an interest in lateral fluidity of inextensible viscous membranes. Numerical examples include the Kelvin-Helmholtz instability problem posed on the sphere and on the torus.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
48
References
0
Citations
NaN
KQI