An Efficient B-Spline Lagrangian/Eulerian Method for Compressible Flow, Shock Waves, and Fracturing Solids
An Efficient B-Spline Lagrangian/Eulerian Method for Compressible Flow, Shock Waves, and Fracturing Solids
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DOI：
10.1145/3519595
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发表时间：
2022-02
期刊：
影响因子：
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通讯作者：
Yadi Cao;Yunuo Chen;Minchen Li;Yin Yang;Xinxin Zhang;Mridul Aanjaneya;Chenfanfu Jiang
中科院分区：
文献类型：
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作者：
Yadi Cao;Yunuo Chen;Minchen Li;Yin Yang;Xinxin Zhang;Mridul Aanjaneya;Chenfanfu Jiang
本研究提出了一种对可压缩流、冲击波和可变形结构之间相互作用进行建模的新方法，重点关注破坏动力学。在时间分裂可压缩流和物质点法（MPM）的进展基础上进行拓展，我们针对整体流 - 结构相互作用开发了一种欧拉和拉格朗日/欧拉混合格式。我们采用二阶加权本质非振荡（WENO）格式来推进连续性方程。为了稳定地用子单元粒子解析变形边界，我们受多孔介质理论启发，提出了一种反射和可通过边界条件的混合处理方法。强耦合的速度 - 压力系统采用一种新的混合阶有限元公式进行离散，该公式使用B样条形状函数。冲击波传播、温度/密度引起的浮力效应以及固体中的拓扑变化被统一捕捉。
This study presents a new method for modeling the interaction between compressible flow, shock waves, and deformable structures, emphasizing destructive dynamics. Extending advances in time-splitting compressible flow and the Material Point Methods (MPM), we develop a hybrid Eulerian and Lagrangian/Eulerian scheme for monolithic flow-structure interactions. We adopt the second-order WENO scheme to advance the continuity equation. To stably resolve deforming boundaries with sub-cell particles, we propose a blending treatment of reflective and passable boundary conditions inspired by the theory of porous media. The strongly coupled velocity-pressure system is discretized with a new mixed-order finite element formulation employing B-spline shape functions. Shock wave propagation, temperature/density-induced buoyancy effects, and topology changes in solids are unitedly captured.