A dual time stepping method for fluid–structure interaction problems

• Published in: Computers & fluids Vol. 31; no. 4; pp. 509 - 537
• Main Authors: de Jouëtte, C., Laget, O., Le Gouez, J.-M., Viviand, H.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.05.2002; Elsevier Science
• Subjects: Compressible flow; Computational methods in fluid dynamics; Dual time stepping approach; EOLE; Exact sciences and technology; Fluid dynamics; Fluid–structure interaction; Free surface; Fundamental areas of phenomenology (including applications); Hydrodynamics; Incompressible flow; Incompressible flows; Physics; Problem solving; Pseudo-compressibility method; Solid mechanics; Steady flow; Structural and continuum mechanics; Unsteady flow; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Dual time stepping approach; Fluid–structure interaction; Free surface; EOLE; Pseudo-compressibility method; Incompressible flows; Computational fluid dynamics; Computation code; Hydrodynamics; Unsteady flow; Fluid structure interaction; Multigrid; Free surface flow; Numerical simulation; Ship hull; Incompressible fluid; Numerical convergence; Mesh generation; Liquid sloshing
• ISSN: 0045-7930; 1879-0747
• DOI: 10.1016/S0045-7930(01)00068-8

The dual time stepping approach is known to be the extension of the pseudo-compressibility method to the calculation of unsteady incompressible flows. Pseudo-time marching compressible flow solvers are used. In this paper, the dual time stepping approach is extended to solve coupled equations of incompressible fluid flows and rigid body motion in fluid–structure interaction problems. The flow solver is the general CDF code EOLE, developed since 1990, for incompressible steady or unsteady flows and based on an original pseudo-unsteady system. Developments of EOLE have been directed in particular towards applications relating to steady or unsteady hydrodynamics problems with free surface (such as sea-keeping, wave drag, sloshing in tanks).