We report detailed theoretical investigations of the micromechanics and bulk elastic properties of composites consisting of randomly distributed stiff fibers embedded in an elastic matrix in two and three dimensions. Recent experiments [V. Pelletier, N. Gal, P. Fournier, and M. L. Kilfoil, Phys. Rev. Lett. 102, 188303 (2009)] have suggested that the inclusion of stiff microtubules in a softer, ...

Direct numerical simulations of free round jets at a Reynolds number ($Re_{D}$) $5000$, based on jet diameter ($D$) and jet-exit bulk velocity ($U_{e}$), are performed to study turbulence characteristics supercritical pressures. The consists $\mathrm{N_{2}}$ that is injected into same temperature. To understand turbulent mixing, passive scalar transported with the flow unity Schmidt number. Two...

We compare the lattice Boltzmann equation (LBE) and the gas-kinetic scheme (GKS) applied to 2D incompressible laminar flows. Although both methods are derived from the Boltzmann equation thus share a common kinetic origin, numerically they are rather different. The LBE is a finite difference method, while the GKS is a finite-volume one. In addition, the LBE is valid for near incompressible flow...

The compression index and recompression index are one of the important compressibility parameters to determine the settlement calculation for fine-grained soil layers. These parameters can be determined by carrying out laboratory oedometer test on undisturbed samples; however, the test is quite time-consuming and expensive. Therefore, many empirical formulas based on regression analysis have be...

In this paper a novel numerical approach is presented for solving the transient incompressible fluid flow problems with free surfaces in generalized two-dimensional curvilinear coordinate systems. Solution algorithm is a combination of implicit real-time steps and explicit pseudo-time steps. Governing fluid flow equations are discretized using a collocated finite-volume mesh. Convective terms a...

We consider two laminar incompressible flows coupled by the continuous law at a fixed interface Γ I . approach system one that satisfies friction Navier , and we show when coefficient goes to ∞ solutions converges solution of initial system. then write numerical Schwarz-like coupling algorithm run 2D-simulations, yields same convergence result.

A numerical test of isotropic turbulence compressibility reduction with helicity in a cyclic box is performed. The ratios compressibility-relevant-mode spectra over those kinetic energy present power laws at large wavenumbers the dissipation range, indicating common difference 11/15 exponents algebraic prefactor nonhelical helical ones. Our results being not derived from shapes themselves, impl...