Partitioned subiterative coupling schemes for aeroelasticity using combined interface boundary condition method

Abstract

The combined interface boundary condition (CIBC) method has been recently proposed for fluid-structure interaction. The CIBC method employs a Gauss-Seidel-like procedure to transform traditional interface conditions into velocity and traction corrections whose effect is controlled by a dimensional parameter. However, the original CIBC method has to invoke the uncorrected traction when forming the traction correction. This process limits its application to fluid-rigid body interaction. To repair this drawback, a new formulation of the CIBC method has been developed by using a new coupling parameter. The reconstruction is simple and the structural traction is removed completely. Two partitioned subiterative coupling versions of the CIBC method are developed. The first scheme is an implicit strategy while the second one is a semi-implicit strategy. Iterative loops are actualised by the fixed-point algorithm with Aitken accelerator. The obtained results agree with the well-documented data, and some famous flow phenomena have been successfully detected.Keywords: fluid-structure interaction; aeroelasticity; partitioned subiterative coupling scheme; finite element method; combined interface boundary condition method IntroductionIn real life, fluid-structure interaction (FSI) contains the sophisticated principles of mathematics and the abundant essences of physics. Today, FSI has become one of the most challenging topics in computational fluid dynamics and has received a great deal of attention. It is a frequent issue in a rich variety of engineering realms such as civil engineering, ocean engineering, aerospace engineering, mechanical engineering and biomedical engineering. A major paradigm of FSI concerns the aeroelasticity, of which a typical application is the interplay of natural wind with a high-rise building or a suspension bridge in civil engineering. In this case, a catastrophe is likely to occur if failing to consider the FSI effect. The old Tacoma Narrows Bridge in the 1940s is the most well-known example. As a consequence, FSI is a significant consideration for the design of some practical structures.Except for the most simplified cases, FSI is too complicated (i.e. high nonlinearity and uncertainty) to be solved analytically. Instead, it has to be analysed by means of physical or numerical experiments. For numerical researches, FSI comprises three ingredients: computational fluid dynamics, computational structural dynamics and computational mesh dynamics (Wall and Ramm 1998); or, in other words, it is dominated by a three-field nonlinear formulation (Farhat, Lesoinne, and Maman 1995). Of these fields, the scientific

Combined interface boundary condition method for fluid–structure interaction: Some improvements and extensions

“…(31) and (33) constitute our CIBC formulae where _ t S does not appear any more. Compared to He et al (2012He et al ( , 2014, the present modification never solves the first order ODEs on the interface. In addition, the geometric continuity should be maintained on Σ by…”

“…The structural traction rate contained in the original CIBC method engenders the unsolvability of the fluid-rigid body interaction and the accuracy decline due to the stress computation on the solid side of Σ. These shortcomings were rectified by He et al (2012He et al ( , 2014 and He (2015a). In particular, the structural traction rate is removed by solving a set of ordinary differential equations (ODEs) of order 1 on the interface.…”

“…Subsequently, the developed method was extended to partitioned subiterative schemes with the structural displacement predictor and the structural force predictor (He, 2015a). In He et al (2012He et al ( , 2014 and He (2015a) the effectiveness of the CIBC method are justified through flow-induced vibrations of various bluff bodies at low Reynolds numbers. The CIBC method is not technically sound as yet, although certain improvements have already been made for it.…”

Improving the CBS‐based partitioned semi‐implicit coupling algorithm for fluid‐structure interaction

“…Normally, the CBS scheme works as a fluid subsolver that is explicitly or implicitly embodied in partitioned solution algorithms under the arbitrary Lagrangian-Eulerian (ALE) description. Subsequently, He et al 14,15 exploited the CBS scheme to develop partitioned subiterative coupling algorithms for freely oscillating bluff bodies. Bao et al 13 analyzed flow-induced oscillations of 2 elastically mounted bluff bodies arranged in different configurations to reveal the flow mechanism.…”

Induced Damping on Vibrating Circular Plates Submerged in Still Fluid

“…The works of Hou et al [2012], He [2015], He et al [2014] and He et al [2012] are good examples of review and applications.…”