G010021 Simulation of Duct Flows using Kinetically Reduced Local Navier-Stokes Equations and Virtual Flux Method

Abstract

In our previous study, kinetically reduced local Navier-Stokes (KRLNS) equations was applied for simulation of two-dimensional (2-D) unsteady incompressible flow problems in order to demonstrate it's capability to capture the correct transient behavior. The numerical results obtained by the KRLNS equations were compared with those obtained by the artificial compressibility method (ACM), the lattice Boltzmann method (LBM) and the pseudo-spectral method (PSM). The divergence as a function of time in the KRLNS method was compared with that of the ACM. It was confirmed that the KRLNS method can capture the correct transient behavior without use of sub-iterations. In this paper, three-dimensional (3-D) numerical simulations of flows in a circular pipe are carried out by using the KRLNS equations and virtual flux method (VFM) proposed to treat the body with complicated geometries on a Cartesian grid. The solutions and computational time are compared with those obtained by the ACM using sub-iterations.