We study the evolution of an error field defined by the difference between two velocity fields in statistically identical three-dimensional incompressible homogeneous turbulence. We assume that the initial error resides only in a high wavenumber range. A theoretical analysis based on a self-similarity assumption for the large-scale error field evolution shows that the growth of the error energy spectrum is characterized by both the total error energy and the integral length scales of the error field. Direct numerical simulation (DNS) of the error field in incompressible turbulence in a periodic box shows that this characterization holds well in a time period. In addition, scale-dependent error energy production is discussed by using the DNS.
ASJC Scopus subject areas
- Physics and Astronomy(all)