Method for accurately capturing shock wave discontinuity surface based on weighted bidirectional mapping

Abstract

The invention discloses a method for accurately capturing a shock wave discontinuous surface based on weighted bidirectional mapping, and belongs to the field of computational explosion mechanics. The method comprises the following steps: tracking a medium in a grid by adopting a Lagrange mass point, performing weighted bidirectional mapping on the mass point and a grid physical quantity by using a three-order shape function, and overcoming numerical value fluctuation generated by a mass point type method due to a finite mass point number; employing a smooth mass point method with a limiter for processing the problem of significant numerical oscillation existing at a discontinuous surface, so the method has more excellent calculation performance; adding a fixed grid, wherein due to the topological mapping relation between an Euler grid and a Lagrangian mass point, inlay penetration does not occur between different substances; adding virtual Lagrangian particles at the boundary, simulating continuous fluid, and realizing the inflow, outflow and periodic boundary conditions by increasing and deleting the whole particles. The method is suitable for the field of explosion and impact, numerical simulation of accurate tracking is carried out on conditions of propagation of high-strength impact waves, interaction of impact waves with different strengths and the like, and pressure at any moment can be recorded to provide damage criteria for target damage assessment.

Description

technical field [0001] The invention relates to a weighted two-way mapping method for accurately capturing shock wave discontinuities, belonging to the field of computational explosion mechanics. Background technique [0002] Explosions and shocks have always been the focus of national defense construction and civilian security, and play a very important role in national defense technology and national economy, especially in recent years, frequent explosion accidents at home and abroad, including coal mine gas explosions, renewable energy Biogas explosions in ponds, various dust explosion accidents, etc. have made the issue of explosion and impact a hot topic of discussion among researchers and the public again. From a physical point of view, explosion and impact phenomena occur under extreme conditions such as high temperature, high pressure, and high speed, and involve the process of mutual coupling and energy conversion among multiple media such as gas, liquid, and solid....

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Problems solved by technology

[0004] The purpose of the present invention is to provide a weighted two-way mapping method for accurately capturing the shock discontinuity, to solve the problem that the Euler algorithm is difficult to clearly track the discontinuity process, and the distortion problem of the large deformation of Lagrange

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