We present results of large-scale three-dimensional simulations of supersonic Euler turbulence with the piecewise parabolic method (PPM) and multiple grid resolutions up to 20483 points. Our numerical experiments describe non-magnetized driven turbulent flows with an isothermal equation of state and an rms Mach number of 6. We discuss numerical resolution issues and demonstrate convergence, in ...

Similar to countless natural phenomena, cities have inherent orders that can be properly captured and expressed through a complex analysis of their components. Using Geographic Information Systems (GIS), this work offers a ring-buffer fractal approach to analyze the spatial characteristics of the components of an urban system. This approach was applied to road length, number of intersections, p...

The Fast Fourier Transform was applied to spatial spectrum modeling of a one-dimensional fractal (Cantor set), a two-dimensional fractal (Sierpinski carpet), and a three-dimensional fractal (Menger sponge). A spectrum is developed for different levels. The spatial spectrum was also obtained and modeled for various filling parameters. The ParaView software package was used for 3D modeling.

in this work, sio2 –zro2 mixed oxides was prepared by the polymeric sol–gel route. the characterization of pore structure, which determines the permeation process of membrane, is of great importance. so far, most investigations have focused on such pore structure as specific surface area and pore size distribution, but the surface fractal, the important parameter reflecting the roughness of por...

The objective of this paper is to examine the development of the urban form of the city of Olomouc since the 1920s in terms of fractal dimension, and to link the observation with two other descriptors of shape – area and perimeter. The fractal dimension of built-up areas and fractal dimension of the boundary of the city are calculated employing the box-counting method; the possibilities of thei...

We explore the degree to which concepts developed in statistical physics can be usefully applied to physiological signals. We illustrate the problems related to physiologic signal analysis with representative examples of human heartbeat dynamics under healthy and pathologic conditions. We first review recent progress based on two analysis methods, power spectrum and detrended fluctuation analys...

Dynamical behavior of a new piecewise-linear continuous-time three-dimensional autonomous chaotic system is studied. System equilibria and their stabilities are discussed. Routes to chaos and bifurcations of the system are demonstrated with various numerical examples, where the chaotic features are justified numerically via computing the system fractal dimensions, Lyapunov exponents and power s...

BACKGROUND Endobronchial ultrasonography (EBUS) has been applied as a routine procedure for the diagnostic of hiliar and mediastinal nodes. The authors assessed the relationship between the echographic appearance of mediastinal nodes, based on endobronchial ultrasound images, and the likelihood of malignancy. METHODS The images of twelve malignant and eleven benign nodes were evaluated. A pre...

Iranian Cenozoic magmatic belt, known as Urumieh-Dokhtar, is recognized as an important polymetallic mineralization which hosts porphyry, epithermal, and polymetallic skarn deposits. In this regard, multivariate analyses are generally used to extract significant anomalous geochemical signature of the mineral deposits. In this study, stepwise factor analysis, cluster analysis, and concentration–...

This paper presents a mathematical model for transient flow of the non-Newtonian power-law fluid in double porous media and fractal reservoir. By using Douglas-Jones predictor-corrector method, we obtain the solution for the constant rate condition at a single well in an infinite reservoir. The flow behavior is also analyzed. Finally, we discuss the pressure response to the various parameters. ...