Multiple scattering in participating media is generally a complex phenomenon. In the limit of an optically thick medium, i.e., when the mean free path of each photon is much smaller than the medium size, the effects of multiple scattering can be approximated by a diffusion process. We introduce this approximation from the radiative transfer literature to the computer graphics community and prop...

This study investigates the frequency-dependence of fluid flow in heterogeneous porous media using the theory of dynamic penneability and a finite-difference method. Given a penneability distribution, the dynamic penneability is applied locally to calculate the frequency-dependence of fluid flow at each local point. An iterative Alternating Direction Implicit finite-difference technique is appl...

13 For solute transport in a deformable clay liner, the importance of consolidation 14 in the presence of sorption and consolidation-induced advection are well known. 15 Here a one-dimensional coupled consolidation and solute transport model for a 16 partially saturated porous medium, including the new features of finite strain and 17 geometric and material nonlinearity, is proposed. A new boun...

In this paper, we propose two variants of the Number Field Sieve (NFS) to compute discrete logarithms in medium characteristic finite fields. We consider algorithms that combine two ideas, namely the Multiple variant of the Number Field Sieve (MNFS) taking advantage of a large number of number fields in the sieving phase, and two recent polynomial selections for the classical Number Field Sieve...

In this paper, analysis for the propagation of general anisotropic media of finite thickness with two thermal relaxation times is studied. Expression of displacements, temperature, thermal stresses, and thermal gradient for most general anisotropic thermoelastic plates of finite thickness are obtained in the analysis. The calculation is then carried forward for slightly more specialized case of...