We model two-dimensional crystals by a configuration space in which every admissible configuration is a hard disk configuration and a perturbed version of some triangular lattice with side length one. In this model we show that, under the uniform distribution, expected configurations in a given box are arbitrarily close to some triangular lattice whenever the particle density is chosen sufficie...

Free-form deformation is an important geometric shape modification method in computer animation and geometric modeling. We explore it by means of functional composition via shifting operators. Our method takes a polygonal model as input but yields a curved model described by triangular Bézier patches as output. The proposed method also solves the sample problem of free-form deformation. keyword...

Both the square and triangular Ising antiferromagnetic systems with next-nearest neighbour interactions are studied by a new efficient entropic scheme. Using the energy distribution and order parameter’s fourth order cumulant it is illustrated that the two models behave quite differently. For the square model we establish strong numerical evidence showing a continuous transition scaling, wherea...

The depth average module of NASIR finite volume solver was applied to study the tide induced currents in Khowr-e-Musa estuary. The model computes water level variation and velocity components in horizontal plane solving depth average continuity and momentum equations considering the hydrostatic pressure distribution. The software takes into account the bed and wall geometric complexities and re...

The hexahedral mesh (hex mesh) is usually preferred to the tetrahedral mesh (tet mesh) in finite element methods for numerical simulation. In finite element analysis, a valid hex mesh requires that the scaled Jacobian value at each mesh vertex is larger than 0. However, the hex mesh produced by lots of prevailing hex mesh generation methods cannot be guaranteed to be a valid hex mesh. In this p...

We use fermion mean field theory to study possible plaquette ordering in the antiferromagnetic SU(4) Heisenberg model. We find the ground state for both the square and triangular lattices to be the disconnected plaquette state. Our mean field theory gives a first order transition for plaquette ordering for the triangular lattice. Our results suggest a large number of low lying states.

An improved CAD model based on cavity model analysis has been proposed to compute the resonance frequency of a right angle isosceles triangular patch antenna (45-45-90) with and without suspended substrate. The model is found to be valid for wide range of antenna parameters like patch side length, substrate thickness and dielectric constant. A standard electromagnetic simulator (HFSS) has been ...

In present work, numerical analysis of three novel PEM fuel cells with tubular geometry was conducted. Tree different cross section was considered for PEM, namely: circular, square and triangular. Similar boundary and operational conditions is applied for all the geometries. At first, the obtained polarization curve for basic architecture fuel cells was validated with experimental data and then...

In order to study effects of frustration in an itinerant electron system, we investigate ground states of the antiferromagnetic double-exchange model on a triangular lattice. In this model, pseudo-spins are coupled to electron transfer integrals in such a way that antiparallel configurations of pseudo-spins gain kinetic energies. Although the antiferromagnetic Ising model on a triangular lattic...