Substance evolution simulation method based on exponential time difference format solution

A simulation method and evolution model technology, applied in the field of material evolution simulation, to achieve the effect of simplifying complexity

Active Publication Date: 2020-01-21
CHINA INSTITUTE OF ATOMIC ENERGY +1
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The method of the present invention can effectively solve the above-mentioned pr...

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  • Substance evolution simulation method based on exponential time difference format solution
  • Substance evolution simulation method based on exponential time difference format solution
  • Substance evolution simulation method based on exponential time difference format solution

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[0039] Embodiments of the technical solutions of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0040] It should be noted that, unless otherwise specified, the technical terms or scientific terms used in this application shall have the usual meanings understood by those skilled in the art to which the present invention belongs.

[0041] The present invention combines the phase field model and the solution method of the exponential time difference scheme, mainly based on the following considerations: the phase field equation has the characteristics of high-order space derivatives and strong nonlinearity, so that the time sub-step length is limited. The exponential time difference scheme can accurately solve high-order spatial derivatives, and the nonlinear term is controlled by the splitting of linear operators, which makes the overall algorithm scheme stable, so that it can be calculated using a time step that is two ord...

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Abstract

The embodiment of the invention provides a substance evolution simulation method based on exponential time difference format solution. A substance evolution model is established based on a phase fieldmodel, the phase field model does not need to carry out prior assumption on a crystal grain structure evolution path, the position of a crystal grain interface does not need to be tracked explicitly,and the complexity of simulation calculation is greatly simplified. The equation of the substance evolution model is solved by using an exponential time difference format, namely, in the solving process, a frequency domain equation of the equation is obtained through fast Fourier transform, the frequency equation is solved by using the exponential time difference format, and Fourier inverse processing is performed on a solving result to finally obtain an equation solution. When the method is used for solving the phase field model, the method is rapid, stable and accurate, parallel computing can be carried out, and the method is suitable for solving a large-scale equation set by utilizing a computer.

Description

technical field [0001] The invention relates to a material evolution simulation method, in particular to a material evolution simulation method based on exponential time difference scheme solution. Background technique [0002] The exponential time-difference scheme retains the exponential integration operation, and the different treatment methods for the integration of the integral factor term and the nonlinear term of the objective equation over time. Exponential Time Difference uses polynomial interpolation to approximate nonlinear terms in the equation, and then performs exact integration on the resulting new integral terms. [0003] The phase field model originated in computational materials science and is widely used to simulate various processes in material physics and computational chemistry. The phase field method has become a highly versatile calculation method for simulating and predicting the evolution of mesoscale microstructures in the field of computational ma...

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Application Information

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IPC IPC(8): G06F30/20G06F119/12G06F119/14G06F17/14G06F17/13G06F17/11
CPCG06F17/11G06F17/13G06F17/142
Inventor 王彦棡贺新福张鉴辛之夼豆艳坤聂宁明贾丽霞王珏杨文
Owner CHINA INSTITUTE OF ATOMIC ENERGY
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