Material point method of modelling and simulation of reacting flow of oxygen

Abstract

Aerospace vehicles are continually being designed to sustain flight at higher speeds and higher altitudes than previously attainable. At hypersonic speeds, gases within a flow begin to chemically react and the fluid's physical properties are modified. It is desirable to model these effects within the Material Point Method (MPM). The MPM is a combined Eulerian-Lagrangian particle-based solver that calculates the physical properties of individual particles and uses a background grid for information storage and exchange. This study introduces chemically reacting flow modelling within the MPM numerical algorithm and illustrates a simple application using the AeroElastic Material Point Method (AEMPM) code. The governing equations of reacting flows are introduced and their direct application within an MPM code is discussed. A flow of 100% oxygen is illustrated and the results are compared with independently developed computational non-equilibrium algorithms. Observed trends agree well with results from an independently developed source.

A Combustion Model for Explosive Charge Affected by a Bottom Gap in the Launch Environment

“…Several scholars have also developed other meshless methods to solve mechanical problems, such as the cracking particles method [35,36] and the reproducing kernel particle method [37] for describing dynamic crack propagation, the peridynamics-SPH method [38][39][40] for simulating the explosive fragmentation of soil, the deep energy method [41] for avoiding discretization, the nonlocal operator method [42,43] for solving partial differential equations of mechanical problems, the dual-horizon peridynamics method [44] for solving the problem of stray wave reflection with a variable horizon, the localized Fourier collocation method [45] for solving numerically large-scale boundary value problems with complex-shape geometries, the fluid-structure interaction [46] for investigating the problems of fluid-structure interaction, and the coupled model [47] for researching the buffer performance of the thin-walled circular tube in the launch safety problems. Compared to other meshless methods, the MPM has higher computational efficiency and accuracy, better tension stability, and can easily deal with material breakage and fluid-structure interactions [48][49][50]. During the launch process of an explosive charge affected by a bottom gap, the volume of gas in the bottom gap and generated by the combustion of developed can change greatly, and fluid-structure coupling can occur between the gas and the solid.…”

Numerical Investigation on Improving the Computational Efficiency of the Material Point Method

“…erefore this paper introduces the mirror reflection boundary condition on the basis of the theory of the material point method, which can simplify the three-dimensional axisymmetric problem into a two-dimensional problem and can solve the three-dimensional axisymmetric problems more efficiently. Furthermore, when dealing with the large deformation problems, the physical information of all material points requires two mappings from the material points to the background grid and the background grid to the material points within each calculation step in the original MPM [54][55][56]. In order to improve the computational efficiency, the concept of dynamic background domain (DBD) is presented in this paper, and it allows the method to skip the mapping process of background grids and material points which not are updated in the physical information during the calculation process.…”

Stochastic Material Point Method for Analysis in Non-Linear Dynamics of Metals

“…Among these methods, MPM shows many advantages in tension stability and efficiency [19][20][21][22]. Compared with the traditional grid methods, MPM is specifically intriguing because of its simplicity, which have proven useful for solving solid mechanics problems involving large deformation and strong nonlinearity, such as hyper-velocity impact and explosion.…”