Sentence examples for use of vorticity from inspiring English sources
The distinct features of the presented semi-Lagrangian model are the use of vorticity and divergence as prognostic variables in conjunction with the fourth-order compact finite differences on the unstaggered regular latitude longitude grid.
In addition, our analyses show that the use of single-phase vorticity has only a minor impact on the ICG generation, and its performance is not affected by two-phase flow parameters such as mobility ratio.
The second technique uses approximate solutions to the reverse heat equation, recognizing that the standard regularization used in vortex methods (estimating particle strengths using the local value of vorticity multiplied by particle area/volume) corresponds to a Gaussian blurring of the original field.
The former makes use of a continuous distribution of vorticity, while the latter, a theoretically inviscid method, makes use of a discrete distribution.
The approach is based on the use of the velocity and vorticity variables as a logical extension of the stream function-vorticity method which is quite effective for two-dimensional flows.
Specifically, rather than using the traditional physical variables of vorticity, ∇×v and divergence ∇⋅v, for the flow description, the geometric related variables ∇×t and ∇⋅t, representing the streamline curvature KS and the mean curvature of the normal congruence Hnc, respectively, were considered.
The results in this study show that we are able to use flow imaging and the statistics of vorticity maps at selected time frames of a cardiac cycle to find a difference in flow patterns before and after surgical intervention.
The boundary values of vorticity are determined using an influence matrix technique.
However, the accurate implementation of the boundary conditions seems to continue to be an impediment to the acceptance and use of numerical methods based on vorticity formulations.
The first algorithm uses the Q-criteria and the integration of vorticity of each extracted vortex.
The global estimation of vorticity fields also provides useful information such as formation and evolution of vortices within heart chambers.
