Extension of the partially integrated transport modeling method to the simulation of passive scalar turbulent fluctuations at various Prandtl numbers

The present work aims to extend the hybrid non zonal RANS/LES partially integrated transport modeling (PITM) method turbulent flows in presence of passive scalar contaminant for simulating large scales flows. Focussing on methodological aspects, we derive basic equations both variance fluctuations and dissipation-rate variance. basis was introduced references [R. Schiestel A. Dejoan, “Towards a new model coarse grid unsteady flow simulations ”, Theor. Comput. Fluid Dyn. 18, 443 (2005)] [B. Chaouat R. Schiestel, “A subgrid-scale stresses dissipation rate developing Phys. Fluids 17, 065106 (2005)]. It provides continuous approach Reynolds averaged Navier–Stokes equations-large eddy simulation (RANS-LES) with seamless coupling between RANS LES regions. main motivation is simulate accurately mode performed grids, fluctuation fields, addition mean fields. As known, knowledge rms often involved handling practical engineering geophysical Like dynamical equations, it found that coefficient appearing destruction term function cutoff-wave number also Prandtl number. Depending value Prandtl-number, different expressions this have been derived according relevant physics wave space. Finally, numerical fully including fields several meshes medium resolutions at Rτ=395 numbers Pr=0.1, 1 10, respectively associated heat transfer liquid metals, gas water illustrating theoretical development made PITM. expected, PITM satisfactory results good agreement data direct simulations. From general point view, opens routes drastic reduction computational time memory points comparison demanding resources highly resolved LES.