The multiclass Lighthill-Whitham-Richards (MCLWR) traffic model, which distinguishes N classes of drivers differing in preferential velocity, gives rise to a system of N strongly coupled, nonlinear first-order conservation laws for the local car densities as a function of distance and time.We propose a new class of anti-diffusive schemes by splitting the system of conservation laws into two dif...

We consider a macroscopic two-phase transition model for vehicular traffic flow subject to point constraint on the density flux. The two phases correspond light and heavy their dynamics are described respectively by Lighthill–Whitham–Richards Aw–Rascle–Zhang model. Their intersection, so-called metastable phase, is assumed be non empty. discrete in time mechanism, inducing flux limitation at bo...

In intelligent transportation systems, an important task is to provide a highly efficient communication channel between vehicles and other infrastructure objects that meets energy efficiency requirements involves low time delays. The paper presents method for generating synthetic data of the “vehicle-to-infrastructure” system, capable simulating many scenarios traffic situations increase genera...

The ship’s wake in the presence of a shear flow constant vorticity at finite water depth is investigated by expanding Whitham-Lighthill kinematic theory. It has been established that structure wave ship radically depends on Froude number Fr (in terms depth) and especially critical Frcr, which magnitude direction flow. At its subcritical values Fr<Frcr two types waves are presented: long tran...

We propose to apply an "effective boundary condition" method the problem of chiral propulsion. For case a rotating helix moving through fluid at low Reynolds number, amounts replacing original (in limit small pitch) by cylinder, but with special kind partial slip conditions non-slip on helix. These are constructed reproduce far-field velocities problem, and defined few parameters (slipping leng...