High-precision numerical simulation method based on accurate solution of Riemannian problem

Abstract

The invention discloses a high-precision numerical simulation method based on accurate solution of a Riemannian problem, and belongs to the field of multi-substance interaction high-precision numerical simulation. According to the method, a multi-substance random state equation Riemannian problem accurate solving method and a virtual fluid method (GFM) are combined, a real virtual fluid method (RGFM) and a wall surface virtual fluid method (WGFM) are included. Meanwhile, a weighted essential no-oscillation (WENO) finite difference method and a level set method (Level-Set) are coupled to form a high-precision numerical simulation method. According to the invention, the dissipation of shock waves and sparse waves in the propagation process can be reduced; a non-physical oscillation phenomenon generated at an interface when an Euler equation is solved can be effectively inhibited, and stable operation of a numerical value prediction process is guaranteed; by means of the method, the Riemannian problem of any state equation can be accurately solved, the accurate interface state of multi-substance interaction is obtained, the precision of the numerical calculation result of the multi-substance interaction process is improved, the prediction precision of the multi-substance interaction process is improved, and then the engineering technical problem related to the field of multi-substance interaction is solved.

Description

technical field [0001] The invention relates to a high-precision numerical simulation method based on the precise solution of the Riemann problem, and belongs to the field of high-precision numerical simulation of multi-substance interaction. Background technique [0002] Explosion of explosives is accompanied by a violent chemical reaction, which forms an explosion shock wave that propagates outward and produces a large number of explosive gas products. Studying the propagation law of explosion shock wave plays an important role in preventing the damage of structure caused by explosion shock wave. [0003] The research on air explosion of explosives mainly includes theoretical derivation, numerical simulation and experimental research. Theoretical derivation has a certain guiding significance in the early research, but the explosion has the characteristics of high temperature, high pressure, high speed, etc., and is a typical complex nonlinear problem, which causes great d...

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Problems solved by technology

[0005] In view of the fact that the Riemann problem in the existing multi-substance interaction numerical simulation method adopts an approximate solution method, there are problems such as large interface state errors and affecting the accuracy of calculation results, etc., the invention discloses a multi-substance interaction based on the accurate solution of the Riemann problem The technical problems to be solved by the high-precision numerical simulation method are: to realize the accurate solution to the Riemann problem of the arbitrary state equation, to obtain the precise interface state of the multi-substance interaction, to improve the accuracy of the numerical calculation results of the multi-substance interaction process, Interaction process prediction accuracy, and then solve engineering technology problems related to the field of multi-substance interaction

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