numerical analysis of the dam-reservoir systems including fluid-structure interaction, by finite element method has some complexities especially for the semi-infinite reservoirs. however, similar to the other fem program the ansys is included some difficulties in the modeling of the semi-infinite domains, such as the dam reservoirs. in this paper a new method is proposed to remedy this problem....

The management problem of water reservoirs can be formulated as a stochastic optimal control (SOC) problem, where the objective function is an aggregated cost that accounts for the interests acting in the water system (e.g. hydropower production, irrigation supply, etc.) and the design variable is the reservoirs release policy. Solving the SOC problem through stochastic dynamic programming is o...

We investigate the existence, properties and approach to stationary non-equilibrium states of infinite harmonic crystals. For classical systems these stationary states are, like the Gibbs states, Gaussian measures on the phase space of the infinite system (analogues results are true for quantum systems). Their ergodic properties are the same as those of the equilibrium states: e.g. for ordered ...

We study energy transport in the quantum harmonic chain whose ends are in contact with two heat reservoirs at different temperatures. On the assumption that the reservoirs are composed of an infinite number of independent harmonic oscillators we derive the master equation that governs the time evolution of the reduced density matrix for the system. Mean kinetic energy of each particle and energ...

A simplified model was employed to develop mathematically equations that describe the unsteadystate behavior of naturally fractured reservoirs, The analysis resulted in an equation of flow of radial symmetry whose solution, for the infinite case, is identical in form and function to that describing the unsteady-state behavior of homogeneous reservoirs. Accepting the assumed model, for all pract...

We consider a discrete-time non-Hamiltonian dynamics of quantum system consisting finite sample locally coupled to several bi-infinite reservoirs fermions with translation symmetry. In this setup, we compute the asymptotic state, mean fluxes into different reservoirs, as well entropy production rate dynamics. Formulas are explicitly expanded leading order in strength coupling reservoirs.