Fractal derivative simulation method of anomalous diffusion dynamic data reconstruction of data in concreate

A technology of anomalous diffusion and dynamic data, applied in the field of numerical simulation, it can solve problems such as inhomogeneous anisotropy, and achieve the effect of clear structure, easy implementation, and simple and fast calculation.

Active Publication Date: 2017-07-14
HOHAI UNIV
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Problems solved by technology

However, concrete is a typical porous material with inhomogeneous and anisotropic chara

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  • Fractal derivative simulation method of anomalous diffusion dynamic data reconstruction of data in concreate
  • Fractal derivative simulation method of anomalous diffusion dynamic data reconstruction of data in concreate
  • Fractal derivative simulation method of anomalous diffusion dynamic data reconstruction of data in concreate

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Embodiment Construction

[0047] like figure 1 As shown, a fractal derivative simulation method for reconstructing the dynamic data of anomalous diffusion of chloride ions in concrete includes the following steps:

[0048] (1) Configure some test points in the interior and boundary of the substance under investigation, obtain the chloride ion concentration u of these test points and the mass fraction of boundary chloride ions, and determine the initial boundary conditions;

[0049] (2) Apply the fractal derivative convection-diffusion equation to determine the parameters of the diffusion equation, including the diffusion coefficient, or determine the order of the fractal derivative according to the empirical formula;

[0050] (3) Discretize the governing equation by using the difference method, discretize the space using the implicit format, and determine the number of grid points according to the scale of the distribution of the desired numerical simulation material, where the number of time points is...

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Abstract

The invention discloses a fractal derivative simulation method of the anomalous diffusion dynamic data reconstruction of data in concreate. The method comprises the following steps that: (1) determining an initial boundary condition; (2) determining the parameter of a diffusion equation; (3) adopting a difference method to enable a control equation to be discrete, adopting implicit scheme dispersing on an aspect of space, and determining a mesh point number according to a distribution scale of substances which need to be subjected to numerical simulation, and tidying the discrete control equation to obtain an equation set AC=b of a matrix form, wherein a time point number is Nt+1, and a space point number is Nx+1; (4) solving a linear equation set C=A/b to obtain the diffusion data of chloride ion concentration of any point x at a moment t; and (5) analyzing the diffusion data of chloride, and guiding engineering practice. By use of the method, the anomalous diffusion process and the time evolution characteristics of the condition in the concrete can be accurately simulated, peak value arrival time and advance speed in a chloride diffusion process are predicted, and a reliable guidance is provided for engineering structure design and prevention

Description

technical field [0001] The invention relates to the technical field of numerical simulation, in particular to a fractal derivative simulation method for reconstructing dynamic data of anomalous diffusion of chloride ions in concrete. Background technique [0002] Chloride ion erosion is one of the main reasons affecting the durability of concrete structures. The core issue of its research is the analysis and modeling of the transport mechanism of chloride ions in concrete. The traditional way is to make some modified models on the basis of Fick's diffusion law to describe the diffusion behavior of chloride ions in concrete. However, concrete is a typical porous material with inhomogeneous and anisotropic characteristics, and the classic Fick's diffusion law is no longer applicable in this condition. At this point, establishing a new mechanical model of the anomalous transport of chloride ions in concrete is of great significance for the study of the durability of concrete s...

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Application Information

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IPC IPC(8): G06F17/50G01N13/04
CPCG01N13/04G01N2013/003G06F30/20
Inventor 孙洪广刘肖廷
Owner HOHAI UNIV
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