Fast Adaptive 2D Vortex Methods

Fast Adaptive 2D Vortex Methods

Fast Vortex Methods

We present three fast adaptive vortex methods for the 2D Eu-ler equations. All obtain long-time accuracy at almost optimal cost by using four tools: adaptive quadrature, free-Lagrangian formulation, the fast multipole method and a nonstandard error analysis. Our error analysis halves the diierentiability required of the ow, suggests an eecient new balance of smoothing parameters , and combines ...

A Fast Adaptive Vortex Method in Three Dimensions *

The method of local corrections (MLC) developed by Anderson for two spatial dimensions is a particle-particle panicle-mesh method. in which the calculation of the velocity field induced by a collection of vortices is split into two parts: (i) a finite difference velocity field calculation using a fast Poisson solver, the results of which are used to represent the velocity field induced by vorti...

2D Numerical Simulation of a Micro Scale Ranque-Hilsch Vortex Tube

  In this study, fluid flow and energy separation in a micro-scale Ranque-HilschVortex Tube are numerically investigated. The flow is assumed as 2D, steady,compressible ideal gas, and shear-stress-transport SST k-W is found to be a bestchoice for modeling of turbulence phenomena. The results are in a good agreementwith the experimental results reported in the literature. The results show that f...

Adaptive filtering for the lattice Boltzmann method

In this study, a new selective filtering technique is proposed for the Lattice Boltzmann Method. This technique is based on an adaptive implementation of the selective filter coefficient σ. The proposed model makes the latter coefficient dependent on the shear stress in order to restrict the use of the spatial filtering technique in sheared stress region where numerical instabilities may occur....