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A STABLE ADDED-MASS PARTITIONED (AMP) ALGORITHM FOR ELASTIC SOLIDS AND INCOMPRESSIBLE FLOW: MODEL PROBLEM ANALYSIS.

Authors :
SERINO, DANIEL A.
BANKS, JEFFREY W.
HENSHAW, WILLIAM D.
SCHWENDEMAN, DONALD W.
Source :
SIAM Journal on Scientific Computing. 2019, Vol. 41 Issue 4, pA2464-A2484. 21p.
Publication Year :
2019

Abstract

An analysis is made of a new partitioned scheme for solving fluid-structure interaction problems involving viscous incompressible flow and compressible elastic-solids. The new scheme is stable, without sub-time-step iterations, even for light solids when added-mass and addeddamping effects are large. The fluid is updated with an implicit-explicit (IMEX) fractional-step scheme whereby the velocity is advanced in one step, treating the viscous terms implicitly, and the pressure is computed in a second step. The key components of the scheme are a Robin (mixed) interface condition for the fluid pressure, and impedance-based interface conditions for the velocity. While the impedance for the solid is well defined, the fluid impedance is not, and a semidiscrete local analysis is used to inform this choice. The properties of the new scheme are analyzed, and numerical results are presented to confirm the stability and accuracy of the scheme. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10648275
Volume :
41
Issue :
4
Database :
Academic Search Index
Journal :
SIAM Journal on Scientific Computing
Publication Type :
Academic Journal
Accession number :
138856932
Full Text :
https://doi.org/10.1137/18M1232358