Evolution of Turbulence by ThreeDimensional Numerical ParticleVortex Tracing.
Abstract
A method for the numerical simulation of three dimensional incompressible flows is described which traces the motion of the vortex filaments in the velocity field which these filaments create. Three computational experiments were pursued in three dimensional space. The velocity of translation of a single vortex ring was measured and compared with the BiotSavart law. The agreement was excellent. Next, the evolution in time of an infinite periodic array of closed vortex filaments was studied. The results were compared with those obtained previously by the spectral method. The Fourier mode spectra were in very good agreement. The third simulation followed a mixing layer from an initial state of uniform vorticity with two and three dimensional small perturbations. Streamwise perturbations lead to the usual rollup of vortex patterns with spanwise uniformity. Substantial streamwise vortex deformation and stretching is generated by the spanwise perturbations.
 Publication:

Ph.D. Thesis
 Pub Date:
 February 1979
 Bibcode:
 1979PhDT........97C
 Keywords:

 Physics: Fluid and Plasma;
 Mathematical Models;
 Particle Motion;
 Three Dimensional Flow;
 Turbulence;
 Vortices;
 Computerized Simulation;
 Fast Fourier Transformations;
 Flow Distribution;
 Flow Velocity;
 Mixing Layers (Fluids);
 Fluid Mechanics and Heat Transfer