Scheme for Evolutionary Navier-Stokes-Fourier System with Temperature Dependent Material Properties Based on Spectral/hp Elements

摘要

The numerical scheme proposed for the Navier-Stokes-Fourier system with variable parameters allows to solve the highly complex mathematical model, which has an impact to understanding the processes connected with the heat exchange, transport and energy storage in fluids. The computational scheme for a fluid flows influenced by temperature as modelled by system (2), (1b), (1c) was developed and tested. The scheme was primarily constructed for spatial discretisations based on spectral/hp finite elements and presented results were obtained after implementation to the Nektar++ framework [2], modified version 3.3.