Adjustment determination of kinetic energy and the amount of flow in the area of Spreading, Taking into account the development of inter-amber space

At present, major works on the main rivers of Central Asia (Amudarya, Zerafshan, Chirchik, and others) have been carried out and are working to protect the banks from erosion and regulate channels for guaranteed water intake into irrigation channels in areas of great length. For this widely used transverse dam (spur). During the interaction of the dam (spur) with the flow, there is intensive siltation of the inter-amber space. Due to the limited areas for agricultural land in densely populated areas, which usually adjoin the valleys of large rivers, spontaneous and unwarranted development of inter-dammed space on regulated sections of rivers occurs, which may lead to a violation of the design regime of the regulated part of the river. In this regard, the development of methods for the hydraulic calculation of a constrained flow with a partial development of inter-dam space is one of the urgent problems of scientific and practical importance in the design of control structures, their construction, and operation.

Sensitivities of Parcel Trajectories beneath the Lowest Scalar Model Level of a Lorenz Vertical Grid

Parcel trajectory analysis has become commonplace in the study of simulated severe convection, particularly that which deals with the development and maintenance of near-ground vertical vorticity. However, there are a number of unsolved problems with analyzing simulated trajectories that exist near the ground. One of these unsolved problems is how to deal with parcels that pass beneath the lowest scalar model level. Using the CM1 model, which uses a Lorenz grid, the sensitivity of parcel characteristics such as location or potential temperature to the choice of common extrapolation methods is documented. Using potential temperature as an example, it is explained why unphysical tendencies of scalar variables along trajectories may arise once parcels descend beneath the lowest scalar model level. Given the poorly constrained flow (and scalar) fields beneath the lowest scalar model level, errors such as those documented here appear unavoidable when using free-slip boundary conditions.

The Cauchy problem for the Aw–Rascle–Zhang traffic model with locally constrained flow

We study the Cauchy problem for the Aw–Rascle–Zhang model for traffic flow with a flux constraint located at [Formula: see text]. The purpose of such a traffic model is to describe an obstruction in a road, such as a toll gate or a construction site. We consider here the concept of solutions introduced by Garavello and Goatin in 2011, which conserves the total number of cars flowing through the obstruction, but does not conserve the generalized momentum. We prove the existence of such solutions to the Cauchy problem by using the wavefront tracking method. We also compare our results with another concept of solutions introduced also by Garavello and Goatin in 2011 for the same model with a flux constraint. For this second formulation, Andreianov, Donadello, and Rosini had also proved the existence of solutions to the Cauchy problem.