An efficient multi-time-step implicit–explicit method to analyze solid–fluid coupled systems discretized by unconditionally stable time-domain finite element procedures

• Published in: Computers & structures 2010-03, Vol.88 (5), p.387-394
• Main Authors: Soares, D., Rodrigues, G.G., Gonçalves, K.A.
• Format: Article
• Language: English
• Subjects: Acoustic fluids; Acoustics; Computational fluid dynamics; Elastodynamic solids; Elastodynamics; Exact sciences and technology; Finite element method; Finite elements; Flexibility; Fluid flow; Fluids; Fundamental areas of phenomenology (including applications); Green–Newmark method; Mathematical analysis; Mathematical models; Multi-domain decomposition; Physics; Solid mechanics; Structural acoustics and vibration; Structural and continuum mechanics; Time-domain subcycling; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
• ISSN: 0045-7949; 1879-2243
• DOI: 10.1016/j.compstruc.2009.12.001

The numerical modelling of interacting elastodynamic solids and acoustic fluids by time-domain finite element procedures is discussed here. In this study, the global model is divided into solid and fluid sub-domains and each sub-domain is analyzed independently, as an uncoupled model. The interaction between the different sub-domains is accomplished by interface forces. In order to improve the efficiency, accuracy and flexibility of the methodology, a multi-time-step method is also considered, allowing optimal time-steps to be selected for each sub-domain of the model. At the end of this paper, numerical applications illustrate the performance and potentialities of the proposed techniques.