A Multi-Vector Interface Quasi-Newton Method with Linear Complexity for Partitioned Fluid-Structure Interaction

Abstract

In recent years, interface quasi-Newton methods have gained growing attention in the fluid-structure interaction community by significantly improving partitioned solution schemes: They not only help to control the inherent added-mass instability, but also prove to substantially speed up the coupling's convergence. In this work, we present a novel variant: The key idea is to build on the multi-vector Jacobian update scheme first presented by Bogaers et al. (2014) and avoid any explicit representation of the (inverse) Jacobian approximation, since it slows down the solution for large systems. Instead, all terms involving a quadratic complexity have been systematically eliminated. The result is a new multi-vector interface quasi-Newton variant whose computational cost scales linearly with the problem size.

References in corpus (1)

• Fluid-structure interaction with NURBS-based coupling

Cited by in corpus (4)

• Efficient split-step schemes for fluid-structure interaction involving incompressible generalised Newtonian flows
• Time-Continuous and Time-Discontinuous Space-Time Finite Elements for Advection-Diffusion Problems
• Four-Dimensional Elastically Deformed Simplex Space-Time Meshes for Domains with Time Variant Topology
• A Robin-Neumann Scheme with Quasi-Newton Acceleration for Partitioned Fluid-Structure Interaction