mixed layer is a part of the atmospheric boundary layer in which pollutants are uniformly distributed. it is sensitive to the earth’s surface, controls the flow of heat and momentum between the surface and the free atmosphere, thus playing a key role in atmospheric circulation. most of atmospheric pollution models require the height of the mixed layer as an input to determine the depth of atmos...

The fast Fourier transform (FFT) based homogenization method of Moulinec and Suquet has been established as a fast, accurate, robust tool for periodic in solid mechanics. In finite element context, Pahr Zysset have introduced nonperiodic boundary conditions (PMUBC) problems. We show how to implement PMUBC efficiently an FFT-based code using discrete sine cosine transforms. Compared with the dom...

The vertical and rocking impedances of a rigid foundation resting on a semi-infinite transversely isotropic medium are obtained in the frequency domain. In the present approach, the contact pressure distribution on the soil foundation-interface is approximated by a linear combination of known pressure patterns. It is shown herein that the approximate solutions of spatial displacement distributi...

We calculate radiative corrections to the Casimir effect for the massive complex scalar field with the λφ4 self-interaction in d + 1 dimensions. We consider the field submitted to four types of boundary conditions on two parallel planes, namely: (i) quasi-periodic boundary conditions, which interpolates continuously periodic and anti-periodic ones, (ii) Dirichlet conditions on both planes, (iii...

The classical problem of heat conduction in one dimension on a composite ring is examined. The problem is formulated using the heat equation with periodic boundary conditions. We provide an explicit solution of this problem using the Method of Fokas. The location of the interfaces is known, but neither temperature nor heat flux are prescribed there. Instead, the physical assumption of continuit...