The leader–follower consensus of a class variable-order fractional (VOF) uncertain linear multi-agent systems is studied in this paper. Firstly, new general lemma proposed to find Lyapunov candidate functions for the stability VOF systems. Secondly, according and theorem systems, by using singular value decomposition matrices some related lemmas, sufficient condition obtain given form matrix in...

The direct numerical simulation of particle flows is investigated by a Lagrangian VOF approach and penalty methods of second order convergence in space for incompressible flows interacting with resolved particles on a fixed structured grid. A specific Eulerian volume of fluid method is developed with a Lagrangian tracking of the phase function while the solid and divergence free constraints are...

A novel volume of fluid (VoF) model called explicit diffusion (EVD) is developed for the simulation interfacial flows, including those with turbulence and primary spray atomization. It derived by averaging VoF equations over an explicit, physically-defined length scale. Fluctuations at sub-volume scales, which can arise due to interface dynamics or turbulence, are attenuated process their effec...

in this present study, volume of fluid method in openfoam open source cfd package will be extended to consider phase change phenomena with modified model due to condensation and boiling processes. this model is suitable for the case in which both unsaturated phase and saturated phase are present and for beginning boiling and condensation process needn't initial interface. both phases (liqu...

Bulk carriers have an important role in international maritime transport. In this paper, we carried out a numerical study on a model of bulk carrier vessel and calculated total resistance of the model. A model of a bulk carrier vessel with length of 2.76 m, breadth of 0.403 m and draught of 0.173 m was selected for numerical modeling. Numerical work was done by commercial CFD software ANSY...