Article ID Journal Published Year Pages File Type
7151972 Acta Mechanica Solida Sinica 2016 14 Pages PDF
Abstract
This paper reports a new derivative in the Eulerian description in flat space-the generalized covariant derivative with respect to time. The following contents are included: (a) the restricted covariant derivative with respect to time for Eulerian component is defined; (b) the postulate of the covariant form invariability in time field is set up; (c) the generalized covariant derivative with respect to time for generalized Eulerian component is defined; (d) the algebraic structure of the generalized covariant derivative with respect to time is made clear; (e) the covariant differential transformation group in time filed is derived. These progresses reveal the covariant form invariability of Eulerian space and time.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
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