Application of the Nodal IP Discontinuous Galerkin Method on Unsteady Low-Mach FSI Problems: Vortex-Induced Vibrations of an Elastically-Constrained Cylinder
摘要
Fluid-Structure Interactions of an elastically constrained 2D circular cylinder in uniform flow is investigated using a high-order nodal Discontinuous Galerkin (DG) numerical method. This study employs DG with Roe’s flux for advection and a modified interior penalty flux for diffusion. A strong stability-preserving Runge-Kutta (RK) method is employed for time discretization. The DG method used is first validated in the stationary circular cylinder case at \(\textrm{Re}=200\) by comparing key metrics with other numerical and experimental studies. Then the elastically mounted cylinder in the cross-flow direction under Vortex Induced Vibrations (VIV) is studied using the DG method with moving meshes coupled with a rigid body dynamics solver. The oscillatory response of the cylinder is presented across different mounting parameters, where branching is evident and comparisons are made with other references. The results of this work are in line with the findings of other studies on cylinder VIV problems with low mass damping which indicates that the DG formulation can be a robust methodology for solving applied FSI problems.