High-precision adaptive finite volume-finite difference coupling numerical simulation method

Abstract

The invention discloses a high-precision self-adaptive finite volume-finite difference coupling numerical simulation method, and belongs to the field of multi-substance coupling effect high-precision numerical simulation. According to the method, adaptive coupling of two numerical methods of finite volume and finite difference can be realized, different numerical formats are selected for calculation at different positions of a calculation domain according to an adaptive algorithm judgment rule, and different high-precision algorithm calculation areas are coupled by adopting an adaptive algorithm coupling method, so that the calculation accuracy is improved. According to the method, the high-resolution shock wave discontinuous capture effect of the high-order finite difference method can be obtained, the inherent good conservation characteristic of the finite volume method can be considered, the accuracy of a numerical simulation prediction result can be remarkably improved, and then the engineering technical problem related to the high-precision numerical simulation field can be effectively predicted. The high-precision numerical simulation field comprises the fields of high-speed / ultrahigh-speed warhead penetration and protection, underwater explosion, bubble dynamics, aerospace and mechanical engineering.

Description

technical field [0001] The invention relates to an adaptive finite volume-finite difference coupling high-precision numerical simulation method, which belongs to the field of high-precision numerical simulation of multi-substance coupling. Background technique [0002] Bubble dynamics has important applications in many industries, such as ship damage, maritime icebreaking, marine exploration, biomedical and other fields, so it is of great significance to study bubble dynamics. [0003] The research on bubble dynamics of underwater explosion mainly includes theoretical derivation, numerical simulation and experimental research. Explosion has the characteristics of high temperature, high pressure, and high speed. It is a typical nonlinear problem, and the bubble jet involves processes such as impact, tearing, and fusion of bubbles. The motion characteristics are relatively complex, which poses great difficulties for theoretical derivation. The experimental research is very in...

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Problems solved by technology

[0005] Aiming at the existing numerical simulation methods using a single method will increase the numerical simulation error and affect the accuracy of the calculation results. Considering that the high-precision finite difference method has poor conservation, but the shock wave discontinuity capture effect is good, the finite volume method has inherent good conservation characteristics, but the implementation of high-order methods is relatively complicated and the shock wave discontinuity capture effect is poor. The technical problem to be solved by an adaptive finite volume-finite difference coupling high-precision numerical simulation method disclosed in the present invention is: to realize the finite volume-finite The adaptive coupling of the two differential numerical methods selects different numerical formats for calculation according to the judgment rules of the adaptive algorithm at different positions in the calculation domain, and uses the adaptive algorithm coupling method to couple different high-precision algorithm calculation areas, which can not only obtain high The high-resolution shock discontinuity capture effect of the first-order finite difference method can also take into account the inherent good conservation characteristics of the finite volume method, which can significantly improve the accuracy of numerical simulation prediction results, and then effectively predict engineering technical issues related to high-precision numerical simulation.

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