After concentrated introduction of the conception of DVM, a simplified numerical model is proposed under high Renold number which is a DVM model combined singularity method.
Singularity spectrum of multifractal functions involving oscillating singularities
例句来源
Singularity of Vector Valued Measures in Terms of Fourier Transform
例句来源
We study how the singularity (in the sense of Hausdorff dimension) of a vector valued measure can be affected by certain restrictions imposed on its Fourier transform.
例句来源
When the density function is high in the center and decreasing with the radius, the collapse process will be described, and in this case, the singularity will only come out in the center because of collision.
例句来源
It can improve the stability of the intersection of given curves and surfaces in singularity cases.
This paper proposes a method for analyzing the nature of singularity at an elastic crack-tip. According to the Muskhelishvili's exact solution of an elastic elliptical hole, the variations of the stress fields of different crack-tips are determined as the tip of the elliptic-crack model changing from a blunt tip to a sharp tip. The stress field at the blunt tip is represented by a function of several variables. The different limits of this function describe the nature of singularity at the...
In this paper we present several numerical solutions of inviscid flow around arbitrary bodies. These solutions are obtained by the "singularity separating" difference method developed by authors, and we see that the numerical results are generally quite good. The examples computed include: (1) the calculation of interaction between two shocks and between a shock and a contact discontinuity, (2) the automatic and precise determination of embedded shocks, (3) the calculation of entropy layers and (4) th...
Although there are many kinds of finite element method for determining the stress intensity factors, the problem is still very complex because of the existence of the singularity at the crack tip. In this paper the superposition of the ordinary finite element method on the singularity terms is applied to the determination of the stress intensity factors. Thus the problem is greatly simplified and the accuracy of the result is improved. For instance, the errors in the stress intensity factor of...