Numerical simulations of buoyancy-driven flows using adaptive mesh refinement: structure and dynamics of a large-scale helium plume

Scaling of the puffing Strouhal number for buoyant jets and plumes

“…Convergence of AMR simulations using a nearly identical numerical and physical configuration in has also been performed by Wimer et al. (2019) for a large-scale helium plume, yielding a similar convergence criterion to that found here.…”

“…The secondary scaling associated with circular buoyant jets, observed by Cetegen & Kasper (1996), is eliminated, and all round buoyant jets, including the helium plume simulation from Wimer et al. (2019), follow the same scaling relation. Additionally, the various rectangular, triangular and annular results all also follow this relation.…”

“…Figure 12( a ) shows versus for each of the simulations performed in the present study, as well as for the round helium plume case from Wimer et al. (2019). Scaling relations from prior experimental studies of round (Cetegen & Kasper 1996) and planar (Cetegen et al.…”

“…With two levels of AMR, the smallest physical scale resolved in the simulations was 1.95 mm, which was recently shown to be sufficiently fine for accurate resolution of the puffing frequency of a large-scale helium plume using an identical numerical approach and similar physical set-up (Wimer et al. 2019). A description of grid convergence in the present simulations is also provided here in § 2.3.…”

“…description of the numerical approach, algorithm and methods is available in Nonaka et al (2018) and Wimer et al (2019). The computational domain for each simulation consisted of a 128 × 128 × 128 base grid with two levels of AMR.…”