High-order implicit Runge-Kutta time integrators for fluid-structure interactions

• Published in: International journal for numerical methods in fluids Vol. 78; no. 7; pp. 385 - 412
• Main Authors: Cori, Jean-François, Etienne, Stephane, Garon, Andre, Pelletier, Dominique
• Format: Journal Article
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 07.07.2015; Wiley Subscription Services, Inc
• Subjects: Accuracy; arbitrary Lagrangian-Eulerian; Finite element method; Fluid-structure interaction; fluid-structure interactions; implicit Runge-Kutta; Integrators; Mathematical analysis; Numerical analysis; Runge-Kutta method; Temporal logic

SummaryThis paper presents an approach to develop high‐order, temporally accurate, finite element approximations of fluid‐structure interaction (FSI) problems. The proposed numerical method uses an implicit monolithic formulation in which the same implicit Runge–Kutta (IRK) temporal integrator is us...