Numerical simulation of vortex induced vibrations of a circular cylinder: isothermal and heat transfer cases

Abstract

In this paper, the Fluid Structure Interaction (FSI) problem - vortex induced vibration of a circular cylinder are studied using a numerical method. An accurate Harten Lax and van Leer with contact for artificial compressibility (HLLC-AC) Riemann solver have been used for flow computation. The Riemann solver is modified to incorporate arbitrarily Lagrangian-Eulerian (ALE) formulation in order to take care of mesh movement in the computation, where radial basis function is used for dynamically moving the mesh. Higher order accuracy over unstructured meshes is achieved using quadratic solution reconstruction based on solution dependent weighted least squares (SDWLS). Two flow scenario of 1 Degree of Freedom (DOF) oscillation cases: isothermal and with heat transfer are presented here. The results obtained by the present method are compared with the literature.