Vortex method with turbulence sub-grid scale modelling

A Convergent 3-D Vortex Method With Grid-Free Stretching

We prove the convergence of a vortex method for three-dimensional, incompressible, inviscid flow without boundaries. This version differs from an earlier one whose convergence was shown in [4] in that the calculation does not depend explicitly on the arrangement of the vorticity elements in a Lagrangian frame. Thus, it could be used naturally in a more general context in which boundaries and vi...

Pressure spectra for vortex models of fine-scale homogeneous turbulence

Pressure spectra at large wave numbers are calculated for Lundgren-Townsend vortex models of the fine scales of homogeneous turbulence. Specific results are given for the Burgers vortex and also for the Lundgren-strained spiral vortex. For the latter case, it is fqund that the contribution to the shell-summed spectrum produced by the interaction between the axisymmetric and nonaxisymmetric comp...

Modelling the impact of sub-grid scale emission variability on upper-air concentration

FMM-based vortex method for simulation of isotropic turbulence on GPUs, compared with a spectral method

The Lagrangian vortex method offers an alternative numerical approach for direct numerical simulation of turbulence. The fact that it uses the fast multipole method (FMM)—a hierarchical algorithm for N-body problems with highly scalable parallel implementations—as numerical engine makes it a potentially good candidate for exascale systems. However, there have been few validation studies of Lagr...

Calculation of isotropic turbulence using a pure Lagrangian vortex method

The vortex method is applied to the calculation of a decaying homogeneous isotropic turbulence of Reλ = 25, 50 and the results are compared with a spectral method calculation. Vortex method calculations were accelerated by the use of a fast multipole method for periodic boundary conditions. The core spreading method and particle strength exchange were selected as the viscous diffusion scheme. T...