We investigate numerically a mathematical model of a consolidation process of a dense, flocculated suspension. The suspension is treated as a two-constituent mixture of a fluid and solid particles by an Eulerian two-p...
We investigate numerically a mathematical model of a consolidation process of a dense, flocculated suspension. The suspension is treated as a two-constituent mixture of a fluid and solid particles by an Eulerian two-phase fluid model. We characterize the suspension by constitutive relations concerning the stresses, interaction forces and inter-particle forces. A numerical solver for a two dimensional test case is developed using finite difference methods both in time and space. In the numerical experiments, the suspension is confined to a closed box and consolidates due to a constant gravity field directed toward the bottom. To study the effect of shear, 2D simulations are performed where the bottom wall of the box is moving with a constant speed.
The cubic Klein-Gordon equation is a simple but non-trivial partial differential equation whose numerical solution has the main building blocks required for the solution of many other partial differential equations. I...
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A numerical method for simulating incompressible two-dimensional multiphase flow is presented. The method is based on a level-set formulation discretized by a finite-element technique. The treatment of the specific fe...
A numerical method for simulating incompressible two-dimensional multiphase flow is presented. The method is based on a level-set formulation discretized by a finite-element technique. The treatment of the specific features of this problem, such as surface tension forces acting at the interfaces separating two immiscible fluids, as well as the density and viscosity jumps that in general occur across such interfaces, have been integrated into the finite-element framework. Using a method based on the weak formulation of the Navier-Stokes equations has its advantages. In this formulation, the singular surface tension forces are included through line integrals along the interfaces, which are easily approximated quantities. In addition, differentiation of the discontinuous viscosity is avoided. The discontinuous density and viscosity are included in the finite element integrals. A strategy for the evaluation of integrals with discontinuous integrands has been developed based on a rigorous analysis of the errors associated with the evaluation of such integrals. numerical tests have been performed. For the case of a rising buoyant bubble the results are in good agreement with results from a front-tracking method. The run presented here is a run including topology changes, where initially separated areas of one fluid merge in different stages due to buoyancy effects.
In this work we investigate the problem of tracking multiple interacting people under uncontrolled stationary environments for intelligent surveillance applications. This domain is very challenging since the clothing ...
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In this work we investigate the problem of tracking multiple interacting people under uncontrolled stationary environments for intelligent surveillance applications. This domain is very challenging since the clothing appearance changes of the people over time make difficult the temporal association of their identities. The problem is emphasized when individuals move close to each other, are occluded, or abruptly change their trajectories. We propose a tracking graph that models spatial and temporal relationships among people in order to predict and resolve partial and total occlusions. When a total occlusion event occurs, the model generates three possible hypotheses about the location of the occluded person according to a human interaction analysis. This model is able to detect false positives and false negatives in the detection measurements and it can also estimate the location of missing or occluded people. Our approach was evaluated on benchmark sequences and results show how it outperforms state-of-the-art algorithms even in the presence of long periods of occlusion.
An existing phase-fieldmodel of two immiscible fluids with a single soluble surfactant present is discussed in *** analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-pose...
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An existing phase-fieldmodel of two immiscible fluids with a single soluble surfactant present is discussed in *** analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large set of physically relevant *** a consequence,critical modifications to the model are suggested that substantially increase the domain of *** designed numerical simulations offer informative demonstrations as to the sharpness of our theoretical results and the qualities of the physical model.A fully coupled hydrodynamic test-case demonstrates the potential to capture also non-trivial effects on the overall flow.
The problem of allocating a set of facilities in order to maximise the sum of the demands of the covered clients is known as the maximal covering location problem. In this work we tackle this problem by means of itera...
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In this work, we tackle the problem of scheduling a set of jobs on a set of non-identical parallel machines with the goal of minimising the total weighted completion times. Artificial bee colony (ABC) algorithm is a n...
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