Abstract
Turbulence is a complex phenomenon in fluid dynamics involving nonlinear interactions between multiple scales. Structure functions are popular diagnostics in the study of statistical properties properties of turbulent flows (Frisch, 1995; Kolmogorov, 1941a, 1941b). Some of the earlier works comprising of such analysis are those of Gotoh et al. (2002), Ishihara et al. (2003), and Ishihara & Gotoh (2009) for three-dimensional (3D) hydrodynamic turbulence; Yeung et al. (2005) and Ray et al. (2008) for passive scalar turbulence; Biferale et al. (2004) for two-dimensional (2D) hydrodynamic turbulence; and Kunnen et al. (2008), Kaczorowski & Xia (2013), and Bhattacharya et al. (2019) for turbulent thermal convection. Structure functions are two-point statistical quantities; thus, an accurate computation of these quantities requires averaging over many points. However, incorporation of a large number of points makes the computations very expensive and challenging. Therefore, we require an efficient parallel code for accurate computation of structure functions. In this paper, we describe the design and validation of the results of fastSF, a parallel code to compute the structure functions for a given velocity or scalar field.
Highlights
SummaryTurbulence is a complex phenomenon in fluid dynamics involving nonlinear interactions between multiple scales
Some of the earlier works comprising of such analysis are those of Gotoh et al (2002), Ishihara et al (2003), and Ishihara & Gotoh (2009) for three-dimensional (3D) hydrodynamic turbulence; Yeung et al (2005) and Ray et al (2008) for passive scalar turbulence; Biferale et al (2004) for two-dimensional (2D) hydrodynamic turbulence; and Kunnen et al (2008), Kaczorowski & Xia (2013), and Bhattacharya et al (2019) for turbulent thermal convection
Structure functions are two-point statistical quantities; an accurate computation of these quantities requires averaging over many points
Summary
Turbulence is a complex phenomenon in fluid dynamics involving nonlinear interactions between multiple scales. We describe the design and validation of the results of fastSF, a parallel code to compute the structure functions for a given velocity or scalar field. For 3D incompressible hydrodynamic turbulence with homegeneity and isotropy, the thirdorder longitudinal velocity structure function in the inertial range (scales lying between the large-scale forcing regime and the small-scale dissipation regime) is given by (Frisch, 1995; Kolmogorov, 1941a, 1941b). FastSF: A parallel code for computing the structure functions of turbulence. Figure~1 exhibits the plots of the negative of the normalized 3rd, 5th, and 7th-order longitudinal velocity structure functions computed using the simulation data of 3D hydrodynamic turbulence (Sadhukhan et al, 2019). We provide a brief description of the code
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