vessel radius on two mutually orthogonal axes lying on the plane normal to the local centerline tangent; if the two values are the same, the vessel cross-section will result in a circle; otherwise, it will define an ellipse with the two values corresponding to the lengths of the semi-axes...
The units of the Cartesian plane in the 2D point clouds for the X and Z axes are meters and allow the size of the vehicles to be observed and compared. Figure 1. Dataset examples. Technology is advancing rapidly, and with access to datasets like the one presented in this work, ITS ...
Starting from the equations of fluid dynamics, he obtained the acoustic pressure distribution of the (secondary) waves produced by the nonlinear interaction of the two collimated (primary) plane waves; that is, from two tones of given frequencies 𝑓1f1 and 𝑓2f2, a secondary low-frequency ...
where ∇⃗ ∇→ is the partial derivative in each of the Cartesian coordinates; 𝜌=𝜌(𝑟⃗ ,𝑡)ρ=ρ(r→,t) is the mass density; and 𝑢⃗ =𝑢⃗ (𝑟⃗ ,𝑡)u→=u→(r→,t) is the velocity vector associated with the motion of the fluid particles. Navier–...
It can simulate the entire process of tsunami from generation to propagation and inundation. The governing equations are shallow-water equations, which are solved by explicit staggered leap-frog finite difference schemes in both spherical and cartesian coordinates. A nested grid system can be used to...
Due to the local nature of the GGI models built so far, the calculations were carried out in the local Cartesian coordinate system. The Z-axis of the coordinate system is directed towards the geodetic zenith, at the origin point located in the middle of the study area. The X and Y axes...
Since the values of components 𝜎𝑖𝑗σij of 𝜎σ with 𝑖,𝑗∈{1,2,3}i,j∈{1,2,3} depend on the choice of a Cartesian coordinate system, for the following considerations, it is useful to introduce also three invariants of 𝜎σ (independent of the choice of Cartesian ...
The best-fit plane for each slab has been computed too. The attitude of each slab plane with respect to both the adjacent ones and the apron reference plane has been determined by the normal vectors to the surfaces. Faulting has been evaluated as the difference in elevation between the slab...