Abstract
We propose a hybrid interface preconditioner for the monolithic solution of surface-coupled problems. Powerful preconditioning techniques are crucial when it comes to solving large monolithic systems of linear equations efficiently, especially when arising from coupled multi-physics problems like in fluid–structure interaction. Existing physics-based block preconditioners have proven to be efficient, but their error assessment reveals an accumulation of the error at the coupling surface. We address this issue by combining them with an additional additive Schwarz preconditioner, whose subdomains span across the interface on purpose. By performing cheap but accurate subdomain solves that do not depend on the separation of physical fields, this error accumulation can be reduced effectively. Numerical experiments compare the performance of the hybrid preconditioner to existing approaches, demonstrate the increased efficiency, and study its parallel performance.
Highlights
In this paper, we propose a novel preconditioner for the monolithic solution of surfacecoupled multi-physics problems
A prominent representative of surface-coupled problems is the interaction of a fluid flow with solid bodies undergoing large deformation, which is commonly referred to as fluid–structure interaction (FSI)
The proposed preconditioner aims at reducing exactly these accumulated errors at the interface and accelerating the overall solution process. We address this issue with a novel hybrid interface preconditioner that combines the multigrid performance of existing physics-based block preconditioners with an additional interfacial Schwarz preconditioner
Summary
We propose a novel preconditioner for the monolithic solution of surfacecoupled multi-physics problems. In combination with the physicsbased block preconditioners, the error accumulation at the interface can be reduced effectively yielding reductions in iteration counts and total time to solution.
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