Improved MUSL format substance point method for shock wave solving

Abstract

The invention provides an improved MUSL format material point method for shock wave solving. The method comprises the steps: firstly, improving a momentum correction step in a traditional MUSL format;then, establishing a shock wave flow field model, and discretizing the shock wave flow field; giving an initial condition and a boundary condition of the shock wave flow field, and setting a calculation total length; calculating the time step length of the current calculation step based on the stability condition; solving the shock wave flow field based on an improved MUSL format material point method of shock wave solving; and finally, carrying out visualization processing on the shock wave flow field. According to the method provided by the invention, the problem of difficulty in processinga convection term in an Euler method and the problem of grid distortion in a Lagrange method can be avoided; compared with the traditional MUSL format, the method has the advantages that noise generated when the material points pass through the grids can be effectively reduced, the requirement for the precision of the shape function is lower, robustness and stability are higher, calculation efficiency is higher, calculation energy consumption is lower, and a new method can be provided for solving shock waves in engineering.

Description

technical field [0001] The invention belongs to the technical field of shock wave flow field solution methods, in particular to an improved MUSL format material point method for shock wave solution. Background technique [0002] Shock wave is the propagation of a discontinuous peak in a fluid medium, resulting in a step change in the physical properties of the flow field such as pressure, temperature, and density. It widely exists in engineering, such as train shock waves formed when high-speed trains are running, mine blasting, explosion-proof vehicles, etc., which may cause casualties and equipment damage. With the development of computer technology, CFD technology has been gradually applied to the simulation of shock waves. By numerically calculating the propagation process of shock waves, its disturbance effect on the flow field can be obtained, which can provide calculation parameters for the calculation of the aerodynamic load of its acting objects. In addition, the s...

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Problems solved by technology

Since the position of the material point has changed at this time, its shape function should also change accordingly. However, the traditional MUSL format does not take this change into account. When the material point passes through the grid, the correction method will produce a large error, which will affect the calculation. The accuracy of the calculation even leads to non-convergence

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