Elsevier, Physica D: Nonlinear Phenomena, 14-17(237), p. 2151-2157
DOI: 10.1016/j.physd.2008.02.011
Full text: Download
Numerical experiments with the one-dimensional inviscid Burgers equation show that filtering the solution at each time step in a way similar to CVS (Coherent Vortex Simulation) gives the solution of the viscous Burgers equation. The CVS filter used here is based on a complex-valued translation-invariant wavelet representation of the velocity, from which one selects the wavelet coefficients having modulus larger than a threshold whose value is iteratively estimated. The flow evolution is computed from either deterministic or random initial conditions, considering both white noise and Brownian motion.