Computational Study of Rarefied Flow Inside a Lid Driven Cavity Using a Mixed Modal Discontinuous Galerkin Method

Abstract

With the advancement of fabrication technology and miniaturization, fluid flows at micro-and nanoscales has received considerable attention. Flow characteristics in these systems significantly vary from those of macro-scale devices, due to geometric restrictions. In such cases, Navier-Stokes-Fourier(NSF) equations with no-slip condition may not be valid for studying gas flows inside a micro-cavity. This article therefore investigates the cavity flows using modified NSF equations with velocity slip and temperature jump conditions. In the present case, a monatomic gas is considered for modelling gas flows. To accurately predict the flow physics, mixed modal discontinuous Galerkin(DG) method is being developed. The flow characteristics of monatomic gas is studied by varying the Reynolds number(Re) and Knudsen number(Kn), respectively. Results obtained are compared with the previous results and are found to be in good agreement with them.

Computational simulations of near-continuum gas flow using Navier-Stokes-Fourier equations with slip and jump conditions based on the modal discontinuous Galerkin method

“…However, the DG method was considered numerically difficult to implement for the NSF equations until Bassi and Rebay [26] presented a novel technique, called the mixed DG method. In recent years, this mixed method has been successfully applied to a variety of gas dynamics problems, such as dusty-gas flows, low-Mach microscale flows, and rarefied flows [27][28][29][30][31][32].…”