Flapping effect of Elastic Filament Behind a Rigid Cylinder on the Drag Reduction in an incompressible flow: immersed Boundary-lattice Boltzmann-lattice Spring Method

Present study is a numerical solution for incompressible fluid-elastic structure interaction by use of immersed boundary method. The solid phase is an elastic filament hinged on rear of a rigid cylinder in the presence of fluid flow. The purpose of this study is investigation of interaction of flexible filament and rigid cylinder. In the immersed boundary method, solid and fluid domains are solved in separated regions. For solving the flow field and momentum equations, the lattice Boltzmann equations are employed. In present study in contrast to previous studies, the elastic filament is also modeled by a mass-spring network that provides elastic properties like young’s and bending modulus. The mass of filament is discretized on nodes of spring network. These two solution regions are connected by applying suitable boundary conditions at each time step. Results show that the mass, geometry and location of filament behind the rigid cylinder have significant effect on the filament’s stability and drag reduction. Indicating and analyzing a special point behind the cylinder, where the drag is minimum, is the another purpose of this study.