solving a large sparse set of linear equations is of the problems widely seen in every numerical investigation in the entire range of engineering disciplines. employing a finite element approach in solving partial derivative equations, the resulting stiffness matrices would contain many zero-valued elements. moreover, storing all these sparse matrices in a computer memory would slower the compu...

The paper concerns mathematical modelling of free surface open channel water flow. In order to simulate the flow two models are used – two-dimensional vertical Reynolds-Averaged Navier-Stokes equations and one-dimensional Saint-Venant equations. The former is solved with SIPMLE algorithm of finite difference method using Marker and Cell technique to trace a free surface movement. The latter is ...

abstract although many studies have been carried out about dam break, this phenomenon still is one of the most important issues in the field of hydraulic engineering due to its hazards to human societies. predicting the critical conditions including coincidence of flooding and dam break indicates more field studies requirement. in this research the mutual effects of coincidence of negative surg...

scheduling is an important subject of production and operations management area. in flow-shop scheduling, the objective is to obtain a sequence of jobs which when processed in a fixed order of machines, will optimize some well defined criteria. the concept of transportation time is very important in scheduling. transportation can be done by robots. in situations that robots are used to transpor...

This paper describes a numerical scheme for approximate the viscous Saint-Venant equations. This scheme is called staggered grid scheme which is a robust, simple and strightforward scheme for viscous SaintVenant equations. Some numerical simulations have been elaborated to validate the accuracy of the scheme, such as the calculation of the convergence rate L1-norm error of the scheme, the compa...

the assumptions considered in developing the saint-venant equations limit their application in many practical situations. the modified boussinesq equation was presented to overcome the limitation imposed by saint-venant equation due to the presence of non-hydrostatic pressure distribution and steep slope. in this paper a computational model was developed for solving the modified and the traditi...

Thixotropy is the characteristic of a fluid to form a gelled structure over time when it is not subjected to shearing, and to liquefy when agitated. Thixotropic fluids are commonly used in the construction industry e.g., liquid concrete and drilling fluids , and related applications include some forms of mud flows and debris flows. This paper describes a basic study of dam break wave with thixo...

Negative surges are caused by a sudden change in flow resulting from a decrease in water depth. New experiments were conducted in a horizontal channel (L = 12 m, W = 0.5 m) to record the unsteady water depth and turbulence in negative surges. The data were collected using video imagery, acoustic displacement meters and acoustic Doppler velocimetry (ADV). The experimental setup was designed to r...

We consider the extension of momentum conservative staggered-grid (MCS) scheme for flow simulation in channels with varying depth and width. The is formulated using properties Saint-Venant equations. proposed was successful handling various steady flows achieved results that are complete accordance analytical solutions. Different choices boundary conditions have created solutions according to m...

Dam-break is a serious disaster resulting in severe damage to downstream communities. Therefore, analyzing the affected range and evolution process of dam-break floods advance valuable. However, difficulties challenges lie complexity breaking earth-rock dams, uncertainty floods, geographical variability. Given this, objective this study analyze characteristics flood evolution. The chooses Cheng...