“…For turbulent simulation, although large-eddy simulation (LES) is considered to be a promising analysis tool for design applications [34][35][36][37], it is computationally demanding for problems with high Reynolds number (Re > 140,000) [24], and the three-dimensional geometry of the swirl burner is another challenge. In contrast, RANS turbulent models, such as standard k-ε model [30,38,39], RNG k-ε model [40,41] and realizable k-ε model [24,42,43], have been widely implemented in swirling flow simulations. The standard k-ε model assumes that the flow is fully turbulent, and it is suitable to simulate turbulence with high Reynolds number.…”