A Material Evolution Simulation Method Based on Exponential Time Difference Scheme
A simulation method and evolution model technology, applied in the field of material evolution simulation, to achieve the effect of simplifying complexity, solving fast, and good stability
Active Publication Date: 2021-07-30
CHINA INSTITUTE OF ATOMIC ENERGY +1
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Problems solved by technology
The method of the present invention can effectively solve the above-mentioned problems existing in the calculation of the existing material evolution phase field model
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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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The embodiment of this specification provides a material evolution simulation method based on exponential time difference scheme. The material evolution model is established based on the phase field model, and the phase field model does not need to make a priori assumptions about the evolution path of the grain structure, nor does it need to explicitly The position of the grain interface can be traced formally, which greatly simplifies the complexity of the simulation calculation. Using the exponential time difference format to solve the equation of the material evolution model, in the solution process, the frequency domain equation of the equation is obtained through the fast Fourier transform, and then the frequency equation is solved in the exponential time difference format, and then Fourier inverse processing is performed on the solution result, and finally the equation solution is obtained. Using this method to solve the phase field model is fast, stable and accurate, and can be used for parallel computing, which is suitable for solving large-scale equations with 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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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