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...

The solving of linear systems provides a rich area to investigate the use nearer-term, noisy, intermediate-scale quantum computers. In this work, we discuss hybrid quantum-classical algorithms for skewed over-determined and under-determined cases. Our input model is such that columns or rows matrix defining system are given via circuits poly-logarithmic depth number much smaller than their Hilb...

This paper presents a simple method based on strain energy density criterion to study the crack initiation angle by finite element method under biaxial loading condition. The crack surface relative displacement method is used to eliminate the calculation of the stress intensity factors which are normally required. The analysis is performed using higher order four node quadrilateral element. The...

In this paper the heating process in a box annealing unit is simulated and the effect of various parameters involved in the process is examined. For this purpose, the full Naiver-Stokes equations along with the standard k- turbulence model are solved in the fluid region using the finite volume approach. In the solid area the conduction heat transfer equation is employed using approporate surfac...