Added Mass Effects of Compressible and Incompressible Flows in Fluid-Structure Interaction

The subiteration method which forms the basic iterative procedure for solving fluid structure-interaction problems is based on a partitioning of the fluid-structure system into a fluidic part and a structural part. In fluid-structure interaction, on short time scales the fluid appears as an added mass to the structural operator, and the...

Validation of the interface-GMRES(R) solution method for fluid-structure interactions

The numerical solution of fluid-structure interactions with the customary subiteration method incurs numerous deficiencies. We validate a recently proposed solution method based on the conjugation of subiteration with a Newton-Krylov method, and demonstrate its superiority and beneficial characteristics.

Validation of the interface-GMRES(R) solution method for fluid-structure interactions

The numerical solution of fluid-structure interactions with the customary subiteration method incurs numerous deficiencies. We validate a recently proposed solution method based on the conjugation of subiteration with a Newton-Krylov method, and demonstrate its superiority and beneficial characteristics.

Space/Time Multigrid for a Fluid-Structure-Interaction Problem

The basic iterative method for solving fluid-structure-interaction problems is a defect-correction process based on a partitioning of the underlying operator into a fluid part and a structural part. In the present work we establish for a prototypical model problem that this defect-correction process yields an excellent smoother for multigrid, on...

Efficient Numerical Methods for Fluid-Structure Interaction

Numerical solution methods for fluid-structure interaction are of great importance in many engineering disciplines. The computation of fluid-structure interactions is challenging on account of their free-boundary and multi-physics character. The different length and time scale discretization requirements of the fluid and structure subsystems...

Interface-GMRES(R) Acceleration of Subiteration for Fluid-Structure-Interaction Problems

Subiteration forms the basic iterative method for solving the aggregated equations in fluid-structure-interaction problems, in which the fluid and structure equations are solved alternately subject to complementary partitions of the interface conditions. However, this subiteration process can be defective or inadequate, as it is endowed with...