论文标题

基于拉格朗日粒子法的颗粒流量的计算模型

Computational Model for Granular Flows based on the Lagrangian Particle Method

论文作者

Zepeda, Mario, Samulyak, Roman

论文摘要

基于拉格朗日粒子(LP)方法,已经开发了用于3D颗粒流的3D模拟的数值模型和并行软件[R.Samulyak,X。Wang,H.-C。 Chen,Lagrangian粒子方法用于可压缩流体动力学,J。Comput。物理。 362(2018)1-19],最初用于可压缩流体动力流,包括自由表面 /多相问题。 LP在基于粒子的模板上使用局部多项式配件,以确保数值收敛到规定的顺序。颗粒流模型以$μ(i)$ - 流动性闭合实现了连续方程,该方程能够描述以固体,液体和气体样特征为特征的各种态度之间流动的二向过渡。颗粒流程代码已与分布式内存超级计算机并行,并通过将3D模拟与颗粒柱塌陷的实验数据进行比较来验证。还提出了显示粒状流向类似气体状态的数值模拟。

A numerical model and parallel software for 3D simulations of granular flows have been developed based on the Lagrangian particle (LP) method [R.Samulyak, X. Wang, H.-C. Chen, Lagrangian particle method for compressible fluid dynamics, J. Comput. Phys. 362 (2018) 1-19], originally developed for compressible hydrodynamic flows, including free surface / multiphase problems. LP uses local polynomial least square fittings on particle-based stencils that ensure numerical convergence to the prescribed order. The granular flow model implements continuum equations with a $μ(I)$-rheology closure that is capable of describing two-directional transitions of the flow between various regimes characterized by solid-, liquid-, and gas-like features. The granular flow code has been parallelized for distributed memory supercomputers and validated by comparing 3D simulations to experimental data on the collapse of granular columns. Numerical simulations showing the granular flow transition to a gas-like regime have also been presented.

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