Flow and heat transfer in thermoacoustic resonators implicit 2D large eddy simulations

In this study, we have devised a numerical 2D model (plane symmetry) of a linear thermoacoustic machine composed of two heat exchangers, stack and a resonator. It solves the coupled compressible Navier-Stokes and heat transfer equations using COMSOL Multiphysics software, using an ideal gas model for air, and P2-P1 finite elements. Implicit Large Eddy Simulation (iLES) has been used to simulate the transitional flow and thermoacoustic dynamics in this device. It is an effective method for transitional flows, especially when coupled with heat transfer [10]. These techniques are numerically efficient, since they require only a moderate refinement of the spatial mesh and time-stepping sequence, without any additional terms or equations. They have the advantage of using dissipation properties of existing numerical schemes, when they have certain properties that make them equivalent, from a dynamic and energetic point of view, to the effect of turbulence on the large scales of the flow.