Scheme for evolutionary navier-stokes-fourier system with temperature dependent material properties based on spectral/hp elements

0537902 - ÚT 2021 RIV DE eng C - Konferenční příspěvek (zahraniční konf.)
Pech, Jan
Scheme for evolutionary navier-stokes-fourier system with temperature dependent material properties based on spectral/hp elements.
Lecture Notes in Computational Science and Engineering. Vol. 134. Cham: Springer, 2020 - (Sherwin, S.; Peiro, J.; Vincent, P.; Moxey, D.; Schwab, C.), s. 465-475. 134. ISBN 978-30-303-9646-6. ISSN 1439-7358.
[International Conference on Spectral and High-Order Methods/12./. London (GB), 09.07.2018-13.07.2018]
Grant ostatní: AV ČR(CZ) StrategieAV21/3
Program: StrategieAV
Institucionální podpora: RVO:61388998
Klíčová slova: Navier-Stokes-Fourier system * variable material properties * temperature-dependent flow * spectral/hp element method
Obor OECD: Mechanical engineering
https://link.springer.com/content/pdf/10.1007%2F978-3-030-39647-3_37.pdf

The computational algorithm for evolutionary Navier-Stokes-Fourier system with temperature dependent material properties (density, viscosity and thermal conductivity) is presented and tested. As a consequence of the thermal expansion, the velocity field is not divergence free. The system fully couples the momentum balance with non-linear advection-diffusion equation for temperature. The model is suitable for low speed flow simulations of the Newtonian, calorically perfect fluid, which obeys Fourier law. The algorithm is an extension of a well known semi-implicit scheme for incompressible Navier-Stokes equations in primitive variable formulation. Performance is tested on manufactured solution, what gives an overview to the temporal convergence. Comparison with experimental data is also presented.
Trvalý link: http://hdl.handle.net/11104/0315744