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It is important to note that all data reported in Table 1 and in the Supporting Information have been obtained in the vertical approximation, that is, using a frozen ground-state geometry and completely neglecting vibronic couplings.
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A novel semi-spectral solution procedure, in which the vertical structure of the model variables is represented as a finite sum of user-specifiable structure functions (e.g., Chebyshev polynomials), provides faster-than-algebraic convergence of the vertical approximation scheme.
These results are in sharp contrast with the data obtained within the cruder vertical approximation (as above).
In both the depth-integrated and multi-layer formulations, they decompose the pressure into hydrostatic and non-hydrostatic components following Casulli [2] and apply the Keller-box scheme [7] to the vertical gradient approximation of the non-hydrostatic pressure.
We assume that the current is shallow, with h 0/x 0≪1, and is in hydrostatic equilibrium in the vertical direction (i.e., the shallow-water approximation).
It has a fully compressible horizontal discretization, and a quasi-Lagrangian vertical discretization approximation, which ignores the acceleration term in the vertical component of the momentum equation.
In the vertical, the Lorenz staggering vertical grid is used with a hybrid sigma-pressure coordinate.
A similar action in the vertical deflection coils produces the vertical scanning motion.
Where are patents in the vertical clustered?
Vertical bumpstops Limit relative bogie displacements in the vertical direction.
In the vertical-fall experiments in air and water the measured forces varied to first approximation as the product of the density and the velocity squared, but only to a first approximation, leaving room to question whether a purely inertial contribution had been isolated.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com