Modeling of Fluid-Structure Interaction

Abstract

Modeling of aerodynamic forces has now moved beyond the classical potential flow theory at least in the research community and to some degree in engineering practice. These more sophisticated fluid models are based upon the Euler or Navier-Stokes equations and require substantial computer resources. This has led to the search for reduced order models that retain the higher physical fidelity of such flow models while still permitting computationally feasible solutions as described in this chapter.In the course of preparing this chapter, a bibliography of over 500 references was prepared and is available from the authors in electronic form upon request.

Revisit of the variable stiffness method for aeroelastic computations with/without thermal effects based on computational fluid dynamics

“…4 shows the sketch of a typical two-dimensional aeroelastic system with plunge and pitch degrees of freedom (DOF). The nondimensional governing equations for the two-dimensional aeroelastic system can be described as [11,23] where…”

“…Recently, Yang et al [43] developed a novel ROM for nonlinear unsteady aerodynamic computation by including nonlinear terms in the linear state space ROM identified by eigen system realization algorithm (ERA). Proper orthogonal decomposition (POD) has been widely used to extract reduced order basis or mode vector for ROM construction based on Galerkin projection [16,11]. Yao and Marques [44] proposed a novel ROM using the Discrete Empirical Interpolation Method (DEIM) for nonlinear aerodynamic and aeroelastic computation.…”

Network-theoretic modeling of fluid-structure interactions

“…Because of the prevalence of FSI and the potential for catastrophic phenomena, significant effort has been made in modeling and predicting their behavior [15]. Efforts have ranged from simple analytical methods and semi-empirical equations of prediction [16] to computationally-intensive high-fidelity numerical simulations [17,18].…”

Feedback control of limit cycle oscillations and transonic buzz, using the nonlinear transonic small disturbance aerodynamics

“…Edwards (1996) was able to predict the onset of buffet and the existence of LCOs at transonic speeds. In earlier reviews, Dowell and Hall (2001), Dowell et al (2003) and Dowell (2010) have covered the past developments in the prediction of transonic buzz.…”