DIQ-MPM:用于模拟大变形和流体-固体合的双接口正方形MPM
IEEE transactions on visualization and computer graphics
|March 16, 2026
概括
我们介绍了DIQ-MPM,这是一种用于流体-固体相互作用的新模拟框架. 这种方法提高了稳定性和准确性,用于建模大变形和固体与不可压缩流体之间的复杂接触.
科学领域:
- 计算力学是计算力学.
- 模拟流体结构相互作用的模拟
- 材料点方法 (MPM) 是一种材料点方法.
背景情况:
- 精确模拟流体-固体相互作用对于工程应用至关重要.
- 现有的方法往往在稳定性,大变形和复杂的接触场景方面扎.
- 对于强大高效的模拟,需要单体合框架.
研究的目的:
- 介绍DIQ-MPM,一种新的单体双向合框架,用于模拟流体-固体相互作用.
- 为了能够对经历大变形的可压缩固体以及不可压缩流体进行可靠的模拟.
- 为了消除数值断裂并确保稳定,高效的合,而不是重叠的网格.
主要方法:
- 使用材料点方法 (MPM) 进行固体和流体建模.
- 实施一个隐式的总拉格朗日物质点方法 (TLMPM) 公式.
- 采用混合速度-压力方案进行可靠的模拟.
- 引入双接口方程 (DIQ) 机制,以实现连贯的接口信息映射.
- 通过Schur补充构建一个统一的稀疏压力系统,以实现高效的合.
- 集成基于粒子的接触力模型,用于固体-固体和固体边界接触.
主要成果:
- 证明了自由滑动流体-固体合的稳定模拟.
- 成功捕获了固体中的大型变形现象.
- 展示了处理可压缩固体和不可压缩流体之间的复杂相互作用的能力.
- 在模拟中验证了消除数值断裂的方法.
结论:
- DIQ-MPM为模拟复杂的流体-固体相互作用提供了强大而高效的框架.
- 双接口方位 (DIQ) 机制是实现强大,稳定的合而不是重叠网格的关键.
- 综合接触模型增强了模拟涉及固体接触的现实场景.
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