Fluid-structure interaction problems with strong added-mass effect

• Published in: International journal for numerical methods in engineering Vol. 80; no. 10; pp. 1261 - 1294
• Main Authors: Idelsohn, S. R., Del Pin, F., Rossi, R., Oñate, E.
• Format: Journal Article Publication
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 03.12.2009; Wiley
• Subjects: Added-mass effect; Anàlisi numèrica; Biomechanics; Computational techniques; Condensing; Dinàmica de fluids; Documents; Exact sciences and technology; Fluid dynamic measurements; Fluid dynamics; Fluid mechanics; Fluid-structure interaction; Fluid–structure interactions; FSI; Fundamental areas of phenomenology (including applications); Física; Física de fluids; General theory; Incompressible flow; Matemàtiques i estadística; Mathematical methods in physics; Mathematical models; Mecànica de fluids; Models matemàtics; Mètodes numèrics; Numerical analysis; Physics; Pressure segregation; Projection; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Àrees temàtiques de la UPC; Vibration; Segregation; fluid-structure interactions; Fluid structure interaction; added-mass effect; Biomechanics; Staggered arrangement; Projection method; Incompressible flow; Added mass; pressure segregation; Reduced order systems; FSI
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.2659

In this paper, the so‐called added‐mass effect is investigated from a different point of view of previous publications. The monolithic fluid–structure problem is partitioned using a static condensation of the velocity terms. Following this procedure the classical stabilized projection method for incompressible fluid flows is introduced. The procedure allows obtaining a new pressure segregated scheme for fluid–structure interaction problems, which has good convergent characteristics even for biomechanical application, where the added‐mass effect is strong. The procedure reveals its power when it is shown that the same projection technique must be implemented in staggered FSI methods. Copyright © 2009 John Wiley & Sons, Ltd.