Effects of local largescale parameters on the smallscale chaotic solutions to Burgers' equation
Abstract
The results of a study of the effects of local variations in velocity and pressure gradients on the nature of solutions to the smallscale Burger's equation are discussed. For relatively high Reynolds numbers, for which it is shown that transitions to turbulence can occur with respect to each of the velocity and pressure gradients, calculations are presented. Consideration is given to a display of flow regime maps which summarize the effects of the parameters. Easily applied methods for testing the convergence of grid functions corresponding to the chaotic solutions of a strange attractor, and for producing consistent models by which a variety of flow types can be calculated from the Burgers' equation, are provided.
 Publication:

AIAA, 18th Fluid Dynamics and Plasmadynamics and Lasers Conference
 Pub Date:
 July 1985
 Bibcode:
 1985fdpd.confU....M
 Keywords:

 Burger Equation;
 Chaos;
 Computational Fluid Dynamics;
 Pressure Gradients;
 Velocity Distribution;
 Boundary Layer Transition;
 Finite Difference Theory;
 Galerkin Method;
 High Reynolds Number;
 NavierStokes Equation;
 Strange Attractors;
 Fluid Mechanics and Heat Transfer