Low-dissipation finite element strategy for low Mach number reacting flows

A. Both, O. Lehmkuhl, D. Mira, M. Ortega
2020 Computers & Fluids  
The present paper extends the conservative finite element convective scheme proposed by Charnyi et al.(Journal of Computational Physics 337, 2017, 289 -308) originally formulated for incompressible flows to the low Mach regime. Similar to Lehmkuhl et al.(Journal of Computational Physics 390, 2019, 51 -65) stabilisation is only introduced for the continuity equation by means of a non-incremental fractional-step method, modified in order to account for variable density flows. The final scheme
more » ... erves momentum and angular momentum for variable density flows. The error of kinetic energy conservation is of order O(δt h k+1 ), thus dissipation is limited. Standard stabilised finite elements are used for the scalars. Time integration is carried out by means of an explicit third order Runge-Kutta scheme for all equations. The proposed strategy is tested on a set of relevant cases with available reference data using large-eddy simulations. First, an anisothermal turbulent channel flow is assessed. Later, a technically premixed turbulent flame in a swirl-stabilized configuration is considered. And finally, a turbulent jet
doi:10.1016/j.compfluid.2020.104436 fatcat:qgrjclybobco3ht6sorlnsslau