Fractal structure of the six-vertex model is introduced with the use of the IFS (Iterated Function Systems). The fractal dimension satisfies an equation written by the free energy of the six-vertex model. It is pointed out that the transfer matrix method and the n-equivalence relation introduced in lattice theories have also been introduced in the area of fractal geometry. All the results can b...

in recent years, many different methods have been developed to simulate free surface flows coupled with moving bodies. in this paper, for simulating ship maneuver, vof method (cicsam) and also for coupling velocity field and pressure a fractional step method are used. to increase simulation accuracy, the mesh size should be significantly fine. unfortunately, fine grid causes increase in simulat...

in this study, boundary element method was used to model sea wave propagation on a hemisphere shape under water tank and oil-water common surface oscillation in the tank. also, kinematic and dynamic oundary conditions of free surface and common surface of oil and water were discritized by finite difference method. there were some singularities in bem method, which were removed by applying zonin...

This paper proposes a novel online measurement-based Wide-Area Voltage Control (WAVC) method using Phasor Measurement Unit (PMU) data in power systems with Flexible AC Transmission System (FACTS) devices. As opposed to previous WAVC methods, the proposed does not require any model knowledge or participation of all buses and considers both active reactive perturbations. Specifically, exploits re...

free surface sloshing of liquid in a rectangular tank induced by lateral excitation has been studied numericallyand experimentally in this paper. the numerical simulation is carried out based on the volume of fluid (vof) method that provides free surface extraction in such problem. a tank with transparent walls is used to free surface tracking in experimental study while the movement amplitude ...