We note that there are essentially two methods of solving the hydrostatic primitive equations in general vertical coordinates: the quasi-Eulerian class of algorithms are typically used in quasi-stationary coordinates (e.g. height, pressure, or terrain following) coordinate systems; the quasi-Lagrangian class of algorithms are almost exclusively used in layered models and is the preferred paradi...

Recently Vlad et al. [Phys. Rev. E. 63, 066304 (2001)] applied the method of decorrelation trajectories to the transport of tracers in stochastic velocity fields with constant drift, and found that the average Lagrangian velocity is smaller than the Eulerian average. As this contradicts a theoretical result due to Lumley [in Mécanigue de la Turbulence, International Conference of the CNRS, Mars...

Gas-particle and other dispersed-phase flows can be described by a kinetic equation containing terms for spatial transport, acceleration, and particle processes (such as evaporation or collisions). In principle, the kinetic description is valid from the dilute (non-collisional) to the dense limit. However, its numerical solution in multi-dimensional systems is intractable due to the large numbe...

one of the most important parts of power transmission in automotives is c.v. joint, which consists of four components where exterior bowl is one of them. due to its complexity, and importance in automobile and existence of high stresses, forging process is the only cost effective method of production. hence, the best method of production of this part is forging process. the exterior part of c.v...

We propose Eulerian and Lagrangian Gaussian beam methods for the Schrödinger equation with discontinuous potentials. At the quantum barriers where the potential is discontinuous, we derive suitable interface conditions to account for quantum scattering information. These scattering interface conditions are then built into the numerical fluxes in the Eulerian level set formulation of the Gaussia...

A novel volume-of-fluid method to simulate three-dimensional hexagonal solidification processes is presented. The Gibbs-Thomson temperature is calculated using the weighted mean curvature and a height function technique. This boundary condition is applied directly on the sharp interface. A geometric unsplit advection scheme is used to advance the interface to the next timestep. The phase change...

We develop a new methodology for the numerical modeling of nonlinear free surface waves, caused by an advancing free surface disturbance, based on combining Lagrangian and Eulerian, or pseudoLagrangian, methods for the time updating of free surface geometry and motion. We solve potential flow equations with a threedimensional (3D) higher-order Boundary Element Method (BEM; Grilli et al., 2000, ...