In this article, a coupled computational framework is presented for the numerical simulation of mass transfer under the effects of natural convection phenomena in a field contains water-copper Nano-fluid. This CFD model is build up based on accurate algorithms for spatial derivatives and time integration. The spatial derivatives have been calculated using first order upwind and second order cen...

We investigate here how some results of Hanzon and Ober [6] can be used to obtain reduced order controllers. The idea is to apply the principle of Nehari extension, which generates optimally robust stabilizing controllers, to functions which have multiple maximal singular values. It is well known that in this case the controller has a drop in degree. Using the parametrization of [6], we obtain ...

We address the problem of propagating input uncertainties through a computational fluid dynamics model. Methods such as Monte Carlo simulation can require many thousands (or more) of computational fluid dynamics solves, rendering them prohibitively expensive for practical applications. This expense can be overcome with reduced-order models that preserve the essential flow dynamics. The specific...

Because the number of state variables in a reduced-order observer is less than the order n of S by the number m of (independent) observations, the reduced-order observer is parsimonious, often a desirable engineering quality. But, in addition, a reduced-order observer may have better properties than a full-order observer, especially with regard to robustness of a control system which uses an ob...

In this paper, we present first, second, and third order implicit finite-volume solvers for advectiondiffusion problems based on the first-order hyperbolic system method. In particular, we demonstrate that the construction of an uniformly accurate third-order advection-diffusion scheme is made trivial by the hyperbolic method while a naive construction of adding a third-order diffusion scheme t...