The Lucy-Richardson Algorithm is a well-known iterative method for the deconvolution of images convolved with a known point spread function. It is derived from a statistical point of view as it converges to the maximum-likelihood solution under the condition that the data follow a Poisson distribution. This assumption holds true for images detected by a digital camera. However, there are images...

Eça and Hoekstra [1] proposed a procedure for the estimation of the numerical uncertainty of CFD calculations based on the least squares root (LSR) method. We believe that the LSR method has potential value for providing an extended Richardson-extrapolation solution verification procedure for mixed monotonic and oscillatory or only oscillatory convergent solutions (based on the usual systematic...

In this article, mixed convection heat transfer of alumina-water nanofluid in an inclined and baffled C-shape enclosure is studied. It is assumed that the flow is laminar and steady. There is no energy production, energy storage and viscous heat dissipation. Furthermore, the nanofluid is considered as a continuous, Newtonian and incompressible fluid. Governing equations are discretized by finit...

We give a new interpretation of the shifted Littlewood-Richardson coefficients $f_{\lambda\mu}^\nu$ ($\lambda,\mu,\nu$ are strict partitions). The $g_{\lambda\mu}$ which appear in decomposition Schur $Q$-function $Q_\lambda$ into sum functions $Q_\lambda = 2^{l(\lambda)}\sum_{\mu}g_{\lambda\mu}s_\mu$ can be considered as special case (here $\lambda$ is partition length $l(\lambda)$). also anoth...

This study investigates the effect of lid motion on the optimal characteristics a thin rectangular fin attached on the hot wall of a square lid-driven cavity with active vertical walls. The optimal fin position is studied for Richardson numbers of 0.1-10. The effect of mounting a rectangular fin with a thermal conductivity of 1 and 1000 on minimization and maximization of heat transfer through ...

In this paper, we extend the Sun and Zhang’s [24] work on high order finite difference method, which is based on the Richardson extrapolation technique and an operator interpolation scheme for the one and two dimensional steady convection diffusion equations to the three dimensional case. Firstly, we employ a fourth order compact difference scheme to get the fourth order accurate solution on th...

Computational fluid dynamics simulation of methane combustion using chemical kinetics is studied. Linear least squares data fit to measured concentrations and temperatures is used to modify reaction rate parameters in the Arrhenius rate equation for combustion of methane. The modification of reaction rate parameters influences the result of CFD-simulations to predict combustion at experimental ...