On the development of higher order accurate projection methods, the following works are completed in this dissertation: (1) The concept of continuous projection method is proposed, which overcomes some difficulties in the accuracy analysis of semi- and fully-discrete projection methods.
(2) Using local truncation error analysis, the sufficient conditions for the continuous projection methods to be temporally second order as well as third order accurate are derived, and the fully second order and fully third order accurate discrete projection methods are proposed correspondingly.
(3) These two sufficient conditions show clearly that the artificial boundary conditions are in close relative with the guessed pressure in order that the projection methods are higher order accurate, which is helpful to clarify some controversies on the relationship between the accuracy and the artificial boundary conditions in projection methods.
The proposed technique not only improves the performance of entropy ap-proaches, but also makes it easy to interprets the results produced by entropy approaches.
The results show that the projection of single Larix leoptolo is canopy is an ellipse with east west as its long axis, and south north as its short axis between 7 am to 5 pm.
We then derive a sufficient condition for the continuous projection equations to be temporally third-order accurate approximations of the original Navier-Stokes equations by means of the local- truncation-error-analysis technique.
The continuous projection equations are discretized temporally and spatially to third-order accuracy on the staggered grids, resulting in a fully third-order discrete projection scheme.
Our main result proves that, when [A, a] is a normed operator ideal with that property, A(X, Y) is complemented in its bidual if and only if there exists a continuous projection from Y** onto Y, regardless of the Banach space X.
A way to determine the surface tension of the metal droplets is presented by means of the continuous projected hanging-drop method.As the power source and the welding current are given, the surface tension of metal droplets which consists of the surface tension of the liguid metal and that of the slag is mainly determined by the surfacial activity of the coating components.
The surface tension, of drops of electrodes has been measured by the "continuous projected hanging drop method" and that of the slags has been measured by means of the high speed camera, synchronous oscillograph system. Based on the above tests and the measurement of temperature, grain size and the transfer modes of the drops, it has been investigated that the effect of the flux materials on the surface tension of the drops and on the technological feature of the electrodes. It has been pointed out that the...
This paper describes an improved entropy approach to apectral analysis which is similar to themethod of successive projections. The proposed technique not only improves the performance of entropy ap-proaches, but also makes it easy to interprets the results produced by entropy approaches.