Sentence examples for formulation for the surface from inspiring English sources

By using the analytical form of order parameter along the normal direction to the interface in the phase-field method and the free energy principle, FESF model offers an explicit and analytical formulation for the surface tension force.

We validate the model and the numerical approach, which is based on a stream function formulation for the surface flow problem, an operator splitting approach and a semi-implicit adaptive finite element discretization, against observed flow patterns in vesicles, which are adhered to a solid surface and are subjected to shear flow.

A body nonlinear time domain method based on strip theory with a weakly nonlinear formulation for the free surface condition is proposed and used to analyze the vertical responses of a cruise ship in random seas.

A detailed formulation for the effects of the surface integrity, i.e. surface topography, surface metallurgy, and surface mechanical properties, on the mechanics of ultra-thin films is proposed in the framework of linear elasticity.

In this paper, we propose "minimum variation log-aesthetic surface" as a new formulation for the log-aesthetic surface.

Lunedei and Albarello (2009) followed the assumption of Arai and Tokimatsu (2004) that surface waves were generated by a random distribution of surface sources, and improved the formulation for surface waves approximation by considering the effects of damping and discarding the R/L assumption.

This allows for greater spreading of the formulation on the surface.

Two widely used formulations for the response surfaces are regression and kriging.

In addition to those already cited, Fainberg et al. (1993) extended the formulation for the thin sheet at the surface in order to apply it at depth using either a natural or artificial primary field.

Comparisons of the Kirchhoff formulation for moving surfaces with the FW H equation have shown that the Kirchhoff formulation for moving surfaces can give erroneous results for aeroacoustic problems.

These results were highly supported by the SEM of the three formulations, which showed an outstanding increase for the surface area of the Chito formulation over the PEI formulations.