On spectral/hp simulations of heat-exchange effects in low-Mach non-stationary fluid flow

Abstract

Non-stationary flow of fluid, whose material properties change as influenced by heating, is the subject of this study. Model of coupled Navier-Stokes-Fourier system with temperature dependent material properties is introduced together with construction of appropriate numerical scheme. Spectral/hp element method is used as the discrete approximation of the functions in the spatial coordinates. Performance of the code implemented using Nektar++ library [1] is presented on problems of forced and natural convection around the heated cylinder.