A Lattice Boltzmann method is applied to demonstrate the comparison results of simulating natural convection in an open end cavity using different hydrodynamic and thermal boundary conditions. The Prandtl number in the present simulation is 0.71, Rayleigh numbers are 104,105 and 106 and viscosities are selected 0.02 and 0.05. On-Grid bounce-back method with first-order accuracy and non-slip met...

The element-free Galerkin method is employed for two-dimensional analysis of steady-state heat transfer. The unknown response of the system, i.e. temperature is approximated using the moving least squares technique. Numerical integration of governing simultaneous system of equations is performed by Gauss quadrature and new modified nodal integration techniques. Numerical examples and tests have...

A collocation method with the modified equilibrium on line method (ELM) forimposition of Neumann and Robin boundary conditions is presented for solving the two-dimensionalacoustical problems. In the modified ELM, the governing equations are integrated over the lines onthe Neumann (Robin) boundary instead of the Neumann (Robin) boundary condition equations. Inother words, integration domains are...

Invariant numerical schemes possess properties that may overcome the numerical properties of most of classical schemes. When they are constructed with moving frames, invariant schemes can present more stability and accuracy. The cornerstone is to select relevant moving frames. We present a new algorithmic process to do this. The construction of invariant schemes consists in parametrizing the sc...

and Applied Analysis 3 on the whole space H, is a bounded operator. Here, I is the identity operator. The following operators D ( I τA τA 2 2 ) , G ( I − τ 2A 2 ) , P ( I τ 2 A ) , R I τB −1, Tτ ( I B−1A ( I τA τ 2 P−2 ) K ( I − R2N−1 ) GKP−2R2N−1 −GKP−2 2I τB R [ n ∑ i 1 αi ( I ( λi − [ λi τ ] τ ) A ) D − λi/τ u0 ])−1

For optical waveguides with high index-contrast and sharp corners, existing full-vectorial mode solvers including those based on boundary integral equations typically have only second or third order of accuracy. In this paper, a new full-vectorial waveguide mode solver is developed based on a new formulation of boundary integral equations and the so-called Neumann-to-Dirichlet operators for sub...

Background & Aims: The aim of this study was to evaluate the accuracy of Cone-beam Computerized Tomography (CBCT) linear measurements in dry mandibles by comparing them with direct measurements. Methods: Two human dry mandibles were used in this study. Thirteen sites were selected on each mandible. Specimens were scanned by CBCT and linear measurements were made using Planmeca Romexis 2.3.0.R s...

Background and Aims: An accurate impression of teeth and supporting structure is necessary to restore a lost tooth structure or to replace a tooth with crown and bridge. Although there are various methods for making impression, putty-wash technique is currently preferred since it is simple and does not require a special tray. Silicone elastomeric impression materials have suitable consistency f...