The spectral formulation of the stochastic finite-element method is applied to the problem of heat conduction in a random medium. Specifically, the conductivity of the medium, as well as its heat capacity are treated as uncorrelated random processes with spatial random fluctuations. Using the spectral stochastic finiteelement method, this paper analyzes the sensitivity of heat conduction proble...

We consider a continuous-time branching random walk on multidimensional lattice in medium. It is theoretically known that, such walks, large rare fluctuations of the medium may lead to anomalous properties particle field, e.g., as intermittency. However, time intervals which this intermittency phenomenon can be observed are very difficult estimate practice. In paper, media containing only finit...

In this study, three-dimensional simulations are presented for laminar forced convection flow of a radiating gas over a backward-facing step in rectangular duct. The fluid is treated as a gray, absorbing, emitting and scattering medium. The three-dimensional Cartesian coordinate system is used to solve the governing equations which are conservations of mass, momentum and energy. These equations...

The application of the Finite Difference Time Domain technique, equipped with periodic boundary conditions, can lead to the fast full-wave characterization of negative refractive index (NRI) structures. Employing the so-called sine-cosine method, the guiding and radiating properties of the NRI transmission-line medium are determined. Surface wave effects are captured, while the operation of the...

We seek to understand and predict the evolution of the brightness temperature (four Stokes parameters) of wind­ driven foam-covered ocean surfaces. The correlation of polarimetric variation is studied as function of the medium state, modeled as a rough surface (ocean) overlayed by a random medium (foam). Many independent results are obtain by using a wide variety of electromagnetic techniques, ...

the cracked brazilian disc (cbd) specimen is widely used in order to determine mode-i/ii and mixed-mode fracture toughness of a rock medium. in this study, the stress intensity factor (sif) on the crack-tip in this specimen is calculated for various geometrical crack conditions using the extended-finite element method (x-fem). this method is based upon the finite element method (fem). in this m...